{"id":11714,"date":"2024-06-10T13:16:34","date_gmt":"2024-06-10T04:16:34","guid":{"rendered":"https:\/\/blogs.mathworks.com\/japan-community\/?p=11714"},"modified":"2024-06-10T13:16:34","modified_gmt":"2024-06-10T04:16:34","slug":"paged-matrix-functions-in-matlab-2024-edition-jp","status":"publish","type":"post","link":"https:\/\/blogs.mathworks.com\/japan-community\/2024\/06\/10\/paged-matrix-functions-in-matlab-2024-edition-jp\/","title":{"rendered":"\u30da\u30fc\u30b8\u5358\u4f4d\u306e\u884c\u5217\u51e6\u7406\u95a2\u6570\u3067\u30b9\u30d4\u30fc\u30c9\u30a2\u30c3\u30d7 (2024 \u5e74\u7248)"},"content":{"rendered":"<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\u203b\u3053\u306e\u6295\u7a3f\u306f 2024 \u5e74 5 \u6708 29 \u65e5\u306b <a href=\"https:\/\/blogs.mathworks.com\/matlab\/2024\/05\/29\/paged-matrix-functions-in-matlab-2024-edition\/?from=jp\">The MATLAB Blog \u3078 \u6295\u7a3f<\/a>\u3055\u308c\u305f\u3082\u306e\u306e\u6284\u8a33\u3067\u3059\u3002<\/div>\n<div><\/div>\n<hr \/>\n<div class=\"rtcContent\">\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">Loren Shure\u304c MATLAB \u3067\u521d\u3081\u3066\u306e<a href=\"https:\/\/blogs.mathworks.com\/loren\/2021\/01\/14\/paged-matrix-functions\/\">\u30da\u30fc\u30b8\u5358\u4f4d\u51e6\u7406\u306e\u884c\u5217\u95a2\u6570\u3092\u7d39\u4ecb\u3059\u308b\u8a18\u4e8b<\/a>\u3092\u6295\u7a3f\u3057\u305f\u306e\u304c 2021 \u5e74\u3002\u30da\u30fc\u30b8\u5358\u4f4d\u51e6\u7406\u306e\u884c\u5217\u4e57\u7b97\u3067\u3042\u308b<a href=\"https:\/\/www.mathworks.com\/help\/matlab\/ref\/pagemtimes.html\">pagemtimes<\/a>\u3001\u8ee2\u7f6e <a href=\"https:\/\/www.mathworks.com\/help\/matlab\/ref\/pagetranspose.html\">pagetranspose<\/a>\u3001\u305d\u3057\u3066\u8907\u7d20\u5171\u5f79\u8ee2\u7f6e\u306e <a href=\"https:\/\/www.mathworks.com\/help\/matlab\/ref\/pagectranspose.html\">pagectranspose<\/a> \u304c\u7d39\u4ecb\u3055\u308c\u3001\u3053\u308c\u3089\u306f\u3059\u3079\u3066 MATLAB R2020b \u3067\u8ffd\u52a0\u3055\u308c\u307e\u3057\u305f\u3002<\/div>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\u4ee5\u4e0b\u306e\u56f3\u3067\u8996\u899a\u5316\u3057\u3066\u307f\u307e\u3059\u3002\u5404 3D \u914d\u5217\u306f\u3001\u4e00\u9023\u306e\u884c\u5217\uff08\u307e\u305f\u306f\u30da\u30fc\u30b8\uff09\u3068\u898b\u306a\u3055\u308c\u307e\u3059\u3002<\/div>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\"><img decoding=\"async\" loading=\"lazy\" class=\"imageNode\" style=\"vertical-align: baseline; width: 534px; height: 194px;\" src=\"https:\/\/blogs.mathworks.com\/matlab\/files\/2024\/05\/paged_matrix_functions_update_1.png\" alt=\"\" width=\"534\" height=\"194\" \/><\/div>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\"><span class=\"ui-provider a b c d e f g h i j k l m n o p q r s t u v w x y z ab ac ae af ag ah ai aj ak\" dir=\"ltr\">\u4f8b\u3048\u3070 A \u3068 B \u306f\u3001\u305d\u308c\u305e\u308c 3\u00d73 \u30b5\u30a4\u30ba\u306e\u884c\u5217\u304c3D\u65b9\u5411\u306b100,000 \u500b\u3042\u308b\u3068\u60f3\u50cf\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u3053\u308c\u3089\u306e\u5404\u30da\u30a2\u3092\u4e57\u7b97\u3057\u3066 3D \u914d\u5217 C \u3092\u5f62\u6210\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002<\/span>\u3053\u3061\u3089\u304c\u30eb\u30fc\u30d7\u3092\u4f7f\u7528\u3057\u305f\u53e4\u3044\u65b9\u6cd5\u3067\u3059\u3002<\/div>\n<div style=\"background-color: #f5f5f5; margin: 10px 15px 10px 0; display: inline-block;\">\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 1px solid #d9d9d9; border-bottom: 0px none #212121; border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">A = rand(3,3,100000);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">B = rand(3,3,100000);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">C = zeros(3,3,100000); <span style=\"color: #008013;\">% preallocate the results<\/span><\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">tic<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\"><span style=\"color: #0e00ff;\">for <\/span>i=1:100000<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">\u00a0\u00a0\u00a0\u00a0C(:,:,i) = A(:,:,i) * B(:,:,i);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\"><span style=\"color: #0e00ff;\">end<\/span><\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper outputs\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 1px solid #d9d9d9; border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">loopTime = toc<\/span><\/div>\n<div style=\"color: #212121; padding: 10px 0px 6px 17px; background: #ffffff none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px;\">\n<div class=\"inlineElement eoOutputWrapper disableDefaultGestureHandling embeddedOutputsVariableStringElement\" style=\"width: 1145px; white-space: pre; font-style: normal; color: #212121; font-size: 12px;\" tabindex=\"-1\" data-testid=\"output_0\">\n<div class=\"textElement eoOutputContent\" style=\"max-height: 261px; white-space: pre; font-style: normal; color: #212121; font-size: 12px;\" tabindex=\"-1\" role=\"article\" data-previous-available-width=\"1108\" data-previous-scroll-height=\"20\" data-hashorizontaloverflow=\"false\" aria-roledescription=\"Use Browse Mode to explore \" aria-description=\"variable output \">\n<div style=\"white-space: pre; font-style: normal; color: #212121; font-size: 12px;\"><span class=\"variableNameElement\" style=\"white-space: pre; font-style: normal; color: #212121; font-size: 12px;\">loopTime = <\/span> 0.156962100000000<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"margin: 10px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\u305d\u3057\u3066\u3092 <span style=\"font-family: monospace;\">pagemtimes <\/span>\u4f7f\u3046\u3068<\/div>\n<div style=\"background-color: #f5f5f5; margin: 10px 15px 10px 0; display: inline-block;\">\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 1px solid #d9d9d9; border-bottom: 0px none #212121; border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">tic<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">C1 = pagemtimes(A,B);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper outputs\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 1px solid #d9d9d9; border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">pagedTime = toc<\/span><\/div>\n<div style=\"color: #212121; padding: 10px 0px 6px 17px; background: #ffffff none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px;\">\n<div class=\"inlineElement eoOutputWrapper disableDefaultGestureHandling embeddedOutputsVariableStringElement\" style=\"width: 1145px; white-space: pre; font-style: normal; color: #212121; font-size: 12px;\" tabindex=\"-1\" data-testid=\"output_1\">\n<div class=\"textElement eoOutputContent\" style=\"max-height: 261px; white-space: pre; font-style: normal; color: #212121; font-size: 12px;\" tabindex=\"-1\" role=\"article\" data-previous-available-width=\"1108\" data-previous-scroll-height=\"20\" data-hashorizontaloverflow=\"false\" aria-roledescription=\"Use Browse Mode to explore \" aria-description=\"variable output \">\n<div style=\"white-space: pre; font-style: normal; color: #212121; font-size: 12px;\"><span class=\"variableNameElement\" style=\"white-space: pre; font-style: normal; color: #212121; font-size: 12px;\">pagedTime = <\/span> 0.003961600000000<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"margin: 10px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\u51e6\u7406\u6642\u9593\u306f\u305a\u3063\u3068\u901f\u304f\u306a\u308a\u307e\u3059\u3002<\/div>\n<div style=\"background-color: #f5f5f5; margin: 10px 15px 10px 0; display: inline-block;\">\n<div class=\"inlineWrapper outputs\">\n<div style=\"border-radius: 4px 4px 0px 0px; padding: 6px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px; border: 1px solid #d9d9d9;\"><span style=\"white-space: pre;\">fprintf(<span style=\"color: #a709f5;\">&#8220;The pagemtimes version is %f times faster than the loop\\n&#8221;<\/span>,loopTime\/pagedTime)<\/span><\/div>\n<div style=\"color: #212121; padding: 10px 0px 6px 17px; background: #ffffff none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px;\">\n<div class=\"inlineElement eoOutputWrapper disableDefaultGestureHandling embeddedOutputsTextElement\" style=\"width: 1145px; white-space: pre; font-style: normal; color: #212121; font-size: 12px;\" tabindex=\"-1\" data-testid=\"output_2\">\n<div class=\" textElement eoOutputContent\" style=\"max-height: 261px; white-space: pre; font-style: normal; color: #212121; font-size: 12px;\" tabindex=\"-1\" role=\"article\" data-previous-available-width=\"1108\" data-previous-scroll-height=\"17\" data-hashorizontaloverflow=\"false\" aria-roledescription=\"Use Browse Mode to explore \" aria-description=\"text output \">The pagemtimes version is 39.620886 times faster than the loop<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"margin: 10px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\n<p>\u7d50\u69cb\u306a\u30b9\u30d4\u30fc\u30c9\u30a2\u30c3\u30d7\u3067\u3059\u306d\u3002\u5b9f\u969b\u3001\u3053\u306e\u4f8b\u306f\u5f8c\u307b\u3069\u8aac\u660e\u3059\u308b\u7406\u7531\u304b\u3089\u3001 <span style=\"font-family: monospace;\">pagemtimes<\/span> \u306b\u671f\u5f85\u3067\u304d\u308b\u6700\u5927\u306e\u30b9\u30d4\u30fc\u30c9\u30a2\u30c3\u30d7\u3092\u793a\u3059\u305f\u3081\u306b\u9078\u3093\u3067\u3044\u307e\u3059\u3002<\/p>\n<p>\u30da\u30fc\u30b8\u5358\u4f4d\u51e6\u7406\u306e\u884c\u5217\u95a2\u6570\u306e\u30a2\u30a4\u30c7\u30a2\u306f\u3001\u4eba\u6c17\u304c\u3042\u308a\u3001\u5f79\u7acb\u3064\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3057\u305f\uff01MathWorks \u3067\u306f\u3001\u79c1\u305f\u3061\u306e\u88fd\u54c1\u5168\u4f53\u3068\u30e6\u30fc\u30b6\u30fc\u30b3\u30df\u30e5\u30cb\u30c6\u30a3\u3067\u4f7f\u7528\u3055\u308c\u3066\u3044\u308b\u306e\u3092\u898b\u304b\u3051\u307e\u3057\u305f\u3057\u3001\u3055\u3089\u306b\u3044\u304f\u3064\u304b\u306e\u5909\u7a2e\u306b\u3064\u3044\u3066\u8981\u671b\u304c\u3042\u308a\u307e\u3057\u305f\u3002\u30da\u30fc\u30b8\u5358\u4f4d\u51e6\u7406\u306e\u884c\u5217\u4e57\u7b97\u306f\u7d20\u6674\u3089\u3057\u3044\u30b9\u30bf\u30fc\u30c8\u3067\u3001\u30da\u30fc\u30b8\u5358\u4f4d\u51e6\u7406\u306e SVD\u3001\u30d0\u30c3\u30af\u30b9\u30e9\u30c3\u30b7\u30e5\u3001eig \u306a\u3069\u3082\u6b32\u3057\u3044\u3068\u601d\u3063\u3066\u3044\u307e\u3057\u305f\u3002MathWorks \u306e\u958b\u767a\u30c1\u30fc\u30e0\u306f\u305d\u308c\u3089\u3092\u5b9f\u73fe\u3057\u307e\u3057\u305f\uff01<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001R2024a \u6642\u70b9\u3067\u306e\u30da\u30fc\u30b8\u5358\u4f4d\u306e\u884c\u5217\u95a2\u6570\u306e\u73fe\u72b6\u3092\u3082\u3046\u5c11\u3057\u8a73\u3057\u304f\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<\/div>\n<h2 style=\"margin: 20px 10px 5px 4px; padding: 0px; line-height: 20px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: bold; text-align: left;\">MATLAB\u306b\u304a\u3051\u308b\u30da\u30fc\u30b8\u5358\u4f4d\u51e6\u7406\u306e\u884c\u5217\u95a2\u6570\u30ea\u30b9\u30c8<\/h2>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\u4ee5\u4e0b\u304c MATLAB \u306b\u3042\u308b\u30da\u30fc\u30b8\u5358\u4f4d\u306e\u884c\u5217\u95a2\u6570\u306e\u30ea\u30b9\u30c8\u3068\u3001\u305d\u308c\u3089\u304c\u5c0e\u5165\u3055\u308c\u305f\u6642\u671f\u3067\u3059\u3002<\/div>\n<ul style=\"margin: 10px 0px 20px; padding-left: 0px; font-family: Helvetica, Arial, sans-serif; font-size: 14px;\">\n<li style=\"margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap;\"><a href=\"https:\/\/uk.mathworks.com\/help\/matlab\/ref\/pagetranspose.html\"><span style=\"font-family: monospace;\">pagetranspose<\/span><\/a> (R2020b) \u8ee2\u7f6e<\/li>\n<li style=\"margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap;\"><a href=\"https:\/\/uk.mathworks.com\/help\/matlab\/ref\/pagectranspose.html\"><span style=\"font-family: monospace;\">pagectranspose<\/span><\/a> (R2020b) \u8907\u7d20\u5171\u5f79\u8ee2\u7f6e<\/li>\n<li style=\"margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap;\"><a href=\"https:\/\/uk.mathworks.com\/help\/matlab\/ref\/pageeig.html\"><span style=\"font-family: monospace;\">pageeig<\/span><\/a> (R2023a) \u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb<\/li>\n<li style=\"margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap;\"><a href=\"https:\/\/uk.mathworks.com\/help\/matlab\/ref\/pagelsqminnorm.html\"><span style=\"font-family: monospace;\">pagelsqminnorm<\/span><\/a> (R2024a) \u7dda\u5f62\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308b\u6700\u5c0f\u30ce\u30eb\u30e0\u6700\u5c0f\u4e8c\u4e57\u89e3<\/li>\n<li style=\"margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap;\"><a href=\"https:\/\/uk.mathworks.com\/help\/matlab\/ref\/pagemtimes.html\"><span style=\"font-family: monospace;\">pagemtimes<\/span><\/a> (R2020b) \u884c\u5217\u4e57\u7b97<\/li>\n<li style=\"margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap;\"><a href=\"https:\/\/uk.mathworks.com\/help\/releases\/R2022a\/matlab\/ref\/pagemldivide.html\"><span style=\"font-family: monospace;\">pagemldivide<\/span><\/a> (R2022a) \u5de6\u884c\u5217\u9664\u7b97<\/li>\n<li style=\"margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap;\"><a href=\"https:\/\/uk.mathworks.com\/help\/releases\/R2022a\/matlab\/ref\/pagemrdivide.html\"><span style=\"font-family: monospace;\">pagemrdivide<\/span><\/a> (R2022a) \u53f3\u884c\u5217\u9664\u7b97<\/li>\n<li style=\"margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap;\"><a href=\"https:\/\/uk.mathworks.com\/help\/releases\/R2022b\/matlab\/ref\/pagenorm.html\"><span style=\"font-family: monospace;\">pagenorm<\/span><\/a> (R2022b) \u884c\u5217\u307e\u305f\u306f\u30d9\u30af\u30c8\u30eb\u306e\u30ce\u30eb\u30e0<\/li>\n<li style=\"margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap;\"><a href=\"https:\/\/uk.mathworks.com\/help\/matlab\/ref\/pagepinv.html\"><span style=\"font-family: monospace;\">pagepinv<\/span><\/a> (R2024a) \u30e0\u30fc\u30a2\u30fb\u30da\u30f3\u30ed\u30fc\u30ba\u64ec\u4f3c\u9006\u884c\u5217<\/li>\n<li style=\"margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap;\"><a href=\"https:\/\/uk.mathworks.com\/help\/releases\/R2021b\/matlab\/ref\/pagesvd.html\"><span style=\"font-family: monospace;\">pagesvd<\/span><\/a> (R2021b) \u7279\u7570\u5024\u5206\u89e3<\/li>\n<\/ul>\n<h2 style=\"margin: 20px 10px 5px 4px; padding: 0px; line-height: 20px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: bold; text-align: left;\">\u306a\u305c\u5225\u306e\u95a2\u6570\u304c\u5fc5\u8981\u306a\u306e\u304b\uff1f<\/h2>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\u81ea\u7136\u306a\u7591\u554f\u3067\u3059\u3002\u300c<span class=\"ui-provider a b c d e f g h i j k l m n o p q r s t u v w x y z ab ac ae af ag ah ai aj ak\" dir=\"ltr\">\u305f\u304f\u3055\u3093\u306e\u30da\u30fc\u30b8\u95a2\u6570\u3092\u6301\u3064\u4ee3\u308f\u308a\u306b\u3001\u5fc5\u8981\u306a\u95a2\u6570\u3092\u5f15\u6570\u3068\u3057\u3066\u53d7\u3051\u53d6\u308b <span style=\"font-family: monospace;\">pagefun<\/span> \u3068\u3044\u30461\u3064\u306e\u95a2\u6570\u3092\u5b9f\u88c5\u3059\u308b\u306e\u306f\u3069\u3046\u304b<\/span>\u300d\u5b9f\u969b\u3001MATLAB \u306b\u306f\u5206\u6563\u914d\u5217\u3084 GPU \u914d\u5217\u3067\u52d5\u4f5c\u3059\u308b<a href=\"https:\/\/uk.mathworks.com\/help\/parallel-computing\/distributed.pagefun.html\">Parallel Computing Toolbox \u5185\u306b\u305d\u306e\u3088\u3046\u306a\u95a2\u6570<\/a>\u304c\u3042\u308a\u307e\u3059\u3002<\/div>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\n<p>\u79c1\u305f\u3061\u3082\u305d\u308c\u3092\u691c\u8a0e\u3057\u307e\u3057\u305f\u304c\u3001\u305d\u306e\u7406\u7531\u306e1\u3064\u306b\u30aa\u30d7\u30b7\u30e7\u30f3\u51e6\u7406\u304c\u3042\u308a\u307e\u3057\u305f\u3002\u4e00\u90e8\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u306f\u7279\u5b9a\u306e\u95a2\u6570\u306b\u306e\u307f\u9069\u7528\u3055\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u30aa\u30d7\u30b7\u30e7\u30f3\u306e\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8\u306f\u9577\u304f\u306a\u308a\u3001\u305d\u306e\u307b\u3068\u3093\u3069\u304c\u8ab0\u304b\u304c\u884c\u3044\u305f\u3044\u3053\u3068\u306b\u95a2\u9023\u3057\u306a\u3044\u3082\u306e\u306b\u306a\u308a\u307e\u3059\u3002\u3082\u3046 1 \u3064\u306e\u7406\u7531\u306f\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u3067\u3059\u3002<\/p>\n<\/div>\n<h2 style=\"margin: 20px 10px 5px 4px; padding: 0px; line-height: 20px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: bold; text-align: left;\">\u306a\u3093\u3067\u51e6\u7406\u304c\u901f\u304f\u306a\u308b\u306e\uff1f<\/h2>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\"><a href=\"https:\/\/blogs.mathworks.com\/loren\/2021\/01\/14\/paged-matrix-functions\/\">\u30da\u30fc\u30b8\u5358\u4f4d\u306e\u884c\u5217\u95a2\u6570\u306b\u95a2\u3059\u308b\u5143\u306e\u30d6\u30ed\u30b0\u6295\u7a3f<\/a>\u306e\u591a\u304f\u306f\u3001\u30eb\u30fc\u30d7\u3092\u4f7f\u7528\u3059\u308b\u3088\u308a\u3082\u3069\u308c\u3060\u3051\u901f\u304f\u306a\u308b\u304b\u306b\u7126\u70b9\u3092\u5f53\u3066\u3066\u3044\u307e\u3057\u305f\u3002\u4e0a\u8a18\u306e\u4f8b\u3067\u306f\u3001\u7279\u5b9a\u306e\u5834\u5408\u306b\u3053\u306e\u30b9\u30d4\u30fc\u30c9\u30a2\u30c3\u30d7\u304c\u9855\u8457\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3057\u305f\u3002\u3067\u306f\u3001\u3053\u306e\u30b9\u30d4\u30fc\u30c9\u30a2\u30c3\u30d7\u306f\u3069\u3053\u304b\u3089\u6765\u308b\u306e\u3067\u3057\u3087\u3046\u304b\uff1f<\/div>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\"><strong>\u5f15\u6570\u30c1\u30a7\u30c3\u30af<\/strong>\uff1a\u6700\u521d\u306e\u6700\u9069\u5316\u306f\u3042\u308a\u3075\u308c\u305f\u3082\u306e\u3067\u3059\u3002\u5f15\u6570\u30c1\u30a7\u30c3\u30af\u3067\u3059\u3002\u30da\u30fc\u30b8\u5358\u4f4d\u51e6\u7406\u306e\u5834\u5408\u3001\u4e00\u5ea6\u3060\u3051\u884c\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u304c\u3001100,000 \u30da\u30fc\u30b8\u3092\u30eb\u30fc\u30d7\u3059\u308b\u5834\u5408\u306f\u3001100,000 \u56de\u5f15\u6570\u30c1\u30a7\u30c3\u30af\u3092\u884c\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u5927\u304d\u306a\u884c\u5217\u306e\u5834\u5408\u3001\u3053\u306e\u30aa\u30fc\u30d0\u30fc\u30d8\u30c3\u30c9\u306f\u7121\u8996\u3067\u304d\u307e\u3059\u304c\u3001\u975e\u5e38\u306b\u5c0f\u3055\u306a\u884c\u5217\u3092\u6570\u5343\u6271\u3046\u5834\u5408\u3001\u5f15\u6570\u3092\u30c1\u30a7\u30c3\u30af\u3059\u308b\u6642\u9593\u306f\u7121\u8996\u3067\u304d\u306a\u304f\u306a\u308a\u307e\u3059\u3002<\/div>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\"><strong>\u3088\u308a\u591a\u304f\u306e\u4e26\u5217\u6027<\/strong>\uff1a\u30b9\u30d4\u30fc\u30c9\u30a2\u30c3\u30d7\u306e 2 \u3064\u76ee\u306e\u7406\u7531\u306f\u4e26\u5217\u6027\u3067\u3059\u3002\u5185\u90e8\u306e for \u30eb\u30fc\u30d7\u3092\u5168\u3066\u306e\u30da\u30fc\u30b8\u3067\u4e26\u5217\u306b\u5b9f\u884c\u3059\u308b\u3053\u3068\u3092\u9078\u629e\u3067\u304d\u307e\u3059\u3002\u3053\u3053\u3067\u4e8b\u60c5\u306f\u3082\u3046\u5c11\u3057\u8907\u96d1\u306b\u306a\u308a\u307e\u3059\u3002MATLAB \u306e\u7dda\u5f62\u4ee3\u6570\u95a2\u6570\u306e\u307b\u3068\u3093\u3069\u306f\u65e2\u306b\u4e26\u5217\u3067\u5b9f\u884c\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u5927\u304d\u306a\u884c\u5217\u3092 2 \u3064\u4e57\u7b97\u3057\u306a\u304c\u3089 CPU \u306e\u8ca0\u8377\u3092\u76e3\u8996\u3059\u308b\u3068\u3001\u3053\u308c\u304c\u5b9f\u969b\u306b\u884c\u308f\u308c\u3066\u3044\u308b\u306e\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u6211\u3005\u306f\u6c7a\u65ad\u3092\u4e0b\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u57fa\u672c\u3068\u306a\u308b BLAS\/LAPACK \u30eb\u30fc\u30c1\u30f3\u3092\u30de\u30eb\u30c1\u30b9\u30ec\u30c3\u30c9\u3067\u5b9f\u884c\u3055\u305b\u3001\u30da\u30fc\u30b8\u3092\u307e\u305f\u3044\u3060\u30eb\u30fc\u30d7\u3092\u30b9\u30ec\u30c3\u30c9\u5316\u3057\u306a\u3044\u304b\u3001\u307e\u305f\u306fBLAS\/LAPACK \u3092\u30b7\u30f3\u30b0\u30eb\u30b9\u30ec\u30c3\u30c9\u3067\u5b9f\u884c\u3057\u3001\u5916\u5074\u306e\u30eb\u30fc\u30d7\u3092\u30b9\u30ec\u30c3\u30c9\u5316\u3059\u308b\u304b\u3092\u6c7a\u3081\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/div>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\u975e\u5e38\u306b\u5c0f\u3055\u3044\u884c\u5217\u306e\u5834\u5408\u3001\u3053\u306e\u6c7a\u65ad\u306f\u7c21\u5358\u3067\u3059\u3002\u975e\u5e38\u306b\u5c0f\u3055\u3044\u884c\u5217\u3092 2 \u3064\u4e57\u7b97\u3059\u308b\u5834\u5408\u3001\u4e26\u5217\u6027\u304b\u3089\u5f97\u3089\u308c\u308b\u5229\u76ca\u306f\u307b\u3068\u3093\u3069\u306a\u3044\u3067\u3057\u3087\u3046\u3002\u3057\u304b\u3057\u3001100,000 \u30da\u30a2\u304c\u3042\u308b\u5834\u5408\u3001\u4e26\u5217\u5316\u3078\u306e\u9053\u306f\u660e\u3089\u304b\u3067\u3059\u3002<\/div>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\"><strong>\u5c0f\u3055\u3044\u884c\u5217\u306e\u6570\u5b66\u7684\u30c8\u30ea\u30c3\u30af<\/strong>\uff1a\u30da\u30fc\u30b8\u5358\u4f4d\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3057\u305f\u4e3b\u306a\u30b9\u30d4\u30fc\u30c9\u30a2\u30c3\u30d7\u304c\u591a\u304f\u306e\u5c0f\u3055\u306a\u884c\u5217\u3067\u8d77\u3053\u308b\u305f\u3081\u3001\u305d\u306e\u3088\u3046\u306a\u5c0f\u3055\u306a\u884c\u5217\uff08\u4f8b\u3048\u3070 3&#215;3\uff09\u306e\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u306b\u7126\u70b9\u3092\u5f53\u3066\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u305f\u3002\u3053\u308c\u306f\u3001\u69d8\u3005\u306a\u6570\u5b66\u7684\u30c8\u30ea\u30c3\u30af\u3092\u4f7f\u7528\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u30b9\u30d4\u30fc\u30c9\u30a2\u30c3\u30d7\u306f\u3001<span style=\"font-family: monospace;\">inv <\/span>\u3084 <span style=\"font-family: monospace;\">mldivide <\/span>\u306a\u3069\u306e\u6a19\u6e96\u7684\u306a MATLAB \u95a2\u6570\u306b\u3082\u9069\u7528\u3055\u308c\u307e\u3057\u305f\u3002\u4f8b\u3048\u3070\u3001<a href=\"https:\/\/uk.mathworks.com\/help\/matlab\/ref\/mldivide.html\">mldivide \u306e\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8<\/a>\u3092\u898b\u308b\u3068\u3001\u3053\u308c\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/div>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\"><img decoding=\"async\" loading=\"lazy\" class=\"imageNode\" style=\"vertical-align: baseline; width: 718px; height: 280px;\" src=\"https:\/\/blogs.mathworks.com\/matlab\/files\/2024\/05\/paged_matrix_functions_update_2.png\" alt=\"\" width=\"718\" height=\"280\" \/><\/div>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\u3053\u308c\u3089\u5168\u3066\u306e\u7d50\u679c\u3068\u3057\u3066\u3001\u81a8\u5927\u306a\u6570\u306e\u5c0f\u3055\u306a\u884c\u5217\u6f14\u7b97\u3067\u7279\u306b\u51e6\u7406\u6642\u9593\u304c\u901f\u304f\u306a\u308a\u307e\u3059\u3002\u3057\u304b\u3057\u306a\u304c\u3089\u3001\u305d\u308c\u3092\u8e0f\u307e\u3048\u305f\u4e0a\u3067\u3001<span style=\"font-family: monospace;\">paigeeig <\/span>\u306e\u30c7\u30e2\u304c\u793a\u3059\u3088\u3046\u306b\u3001<span class=\"ui-provider a b c d e f g h i j k l m n o p q r s t u v w x y z ab ac ae af ag ah ai aj ak\" dir=\"ltr\">3D \u65b9\u5411\u306e\u6570\u304c\u5c11\u306a\u3044 \u3088\u308a\u5927\u304d\u306a\u884c\u5217\u30b5\u30a4\u30ba\u306b\u304a\u3044\u3066\u3082<\/span>\u3001\u4f9d\u7136\u3068\u3057\u3066\u6709\u7528\u306a\u30b9\u30d4\u30fc\u30c9\u30a2\u30c3\u30d7\u304c\u898b\u3089\u308c\u307e\u3059\u3002<\/div>\n<div style=\"background-color: #f5f5f5; margin: 10px 15px 10px 0; display: inline-block;\">\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 1px solid #d9d9d9; border-bottom: 0px none #212121; border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">mset = 25:25:500;<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">msetSize = numel(mset);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">numPages = 50;<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">tLoop = zeros(msetSize,1);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">tPage = zeros(msetSize,1);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\"><span style=\"color: #0e00ff;\">for <\/span>i=1:msetSize<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">\u00a0\u00a0\u00a0\u00a0A = rand(mset(i),mset(i),numPages);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">\u00a0\u00a0\u00a0\u00a0CPage = pageeig(A);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">\u00a0\u00a0\u00a0\u00a0f = @() pageeig(A);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">\u00a0\u00a0\u00a0\u00a0tPage(i) = timeit(f);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">\u00a0\u00a0\u00a0\u00a0CLoop = eigLoop(A);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">\u00a0\u00a0\u00a0\u00a0f = @() eigLoop(A);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">\u00a0\u00a0\u00a0\u00a0tLoop(i) = timeit(f);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\"><span style=\"color: #0e00ff;\">end<\/span><\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\"><span style=\"color: #0e00ff;\">function <\/span>C = eigLoop(A)<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">[rows,~,pages] = size(A);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">C = zeros(rows,1,pages);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\"><span style=\"color: #0e00ff;\">for <\/span>i=1:pages<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">C(:,1,i) = eig(A(:,:,i));<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\"><span style=\"color: #0e00ff;\">end<\/span><\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\"><span style=\"color: #0e00ff;\">end<\/span><\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">figure(<span style=\"color: #a709f5;\">&#8216;Position&#8217;<\/span>,[100,100,1200,450])<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">t = tiledlayout(1,2);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">nexttile<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">plot(mset,tPage,<span style=\"color: #a709f5;\">&#8216;*&#8217;<\/span>);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">hold <span style=\"color: #a709f5;\">on<\/span><\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">plot(mset,tLoop,<span style=\"color: #a709f5;\">&#8216;o&#8217;<\/span>);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">legend({<span style=\"color: #a709f5;\">&#8216;pageeig&#8217;<\/span>,<span style=\"color: #a709f5;\">&#8216;for-loop&#8217;<\/span>},<span style=\"color: #a709f5;\">&#8216;Location&#8217;<\/span>,<span style=\"color: #a709f5;\">&#8216;northwest&#8217;<\/span>);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">title(<span style=\"color: #a709f5;\">&#8216;Times&#8217;<\/span>)<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">xlabel(<span style=\"color: #a709f5;\">&#8216;m&#8217;<\/span>)<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">ylabel(<span style=\"color: #a709f5;\">&#8216;Seconds&#8217;<\/span>)<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">hold <span style=\"color: #a709f5;\">off<\/span><\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">nexttile<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">plot(mset,tLoop.\/tPage)<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">title(<span style=\"color: #a709f5;\">&#8216;Speed-ups of pageeig over for-loop&#8217;<\/span>)<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">xlabel(<span style=\"color: #a709f5;\">&#8216;m&#8217;<\/span>)<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">ylim([0,inf])<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 0px none #212121; border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">titleStr = sprintf(<span style=\"color: #a709f5;\">&#8216;Compute eigenvalues of %d pages of m x m matrices&#8217;<\/span>,numPages);<\/span><\/div>\n<\/div>\n<div class=\"inlineWrapper outputs\">\n<div style=\"border-left: 1px solid #d9d9d9; border-right: 1px solid #d9d9d9; border-top: 0px none #212121; border-bottom: 1px solid #d9d9d9; border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: #212121; font-family: Menlo, Monaco, Consolas, 'Courier New', monospace; font-size: 14px;\"><span style=\"white-space: pre;\">title(t,titleStr)<\/span><\/div>\n<\/div>\n<p><img decoding=\"async\" class=\"figureImage figureContainingNode\" style=\"width: 100%;\" src=\"https:\/\/blogs.mathworks.com\/matlab\/files\/2024\/05\/paged_matrix_functions_update_3.png\" \/><\/p>\n<\/div>\n<h2 style=\"margin: 20px 10px 5px 4px; padding: 0px; line-height: 20px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: bold; text-align: left;\">\u30da\u30fc\u30b8\u5358\u4f4d\u51e6\u7406\u306e\u884c\u5217\u95a2\u6570\u306f\u3069\u3053\u3067\u4f7f\u308f\u308c\u3066\u3044\u308b\uff1f<\/h2>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\u79c1\u306f\u4ed5\u4e8b\u306e\u4e00\u74b0\u3068\u3057\u3066\u3001\u4e16\u754c\u4e2d\u306e MATLAB \u30e6\u30fc\u30b6\u30fc\u3068\u5354\u529b\u3057\u3066\u30b3\u30fc\u30c9\u306e\u5b9f\u884c\u901f\u5ea6\u3092\u4e0a\u3052\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u30da\u30fc\u30b8\u5358\u4f4d\u51e6\u7406\u306e\u95a2\u6570\u304c\u5c0e\u5165\u3055\u308c\u3066\u4ee5\u6765\u4f55\u5ea6\u304b\u4f7f\u7528\u3057\u3066\u304d\u307e\u3057\u305f\u3002\u30e6\u30fc\u30b6\u30fc\u306e\u30b3\u30fc\u30c9\u306b\u3064\u3044\u3066\u306f\u901a\u5e38\u3001\u304a\u8a71\u3057\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u306e\u3067\u3001MathWorks \u5185\u3067\u3069\u3053\u3067\u4f7f\u7528\u3055\u308c\u3066\u3044\u308b\u304b\u5c0b\u306d\u3066\u307f\u307e\u3057\u305f\u3002\u7b54\u3048\u306f\u300cAlmost everywhere!\u300d\u3067\u3057\u305f\u3002<\/div>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\u4f8b\u3048\u3070\u3001\u69d8\u3005\u306a Toolbox \u306b\u307e\u305f\u304c\u308b100\u4ee5\u4e0a\u306e\u95a2\u6570\u304c <span style=\"font-family: monospace;\">pagemtimes <\/span>\u3092\u4f7f\u7528\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u4f8b\u3048\u3070\u30fb\u30fb<a href=\"https:\/\/uk.mathworks.com\/products\/5g.html\">5G Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/aerospace-toolbox.html\">Aerospace Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/antenna.html\">Antenna Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/audio.html\">Audio Toolbox<\/a>,<a href=\"https:\/\/uk.mathworks.com\/products\/communications.html\"> Communications Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/sysid.html\">System Identification Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/image-processing.html\">Image Processing Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/lidar.html\">Lidar Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/medical-imaging.html\">Medical Imaging Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/navigation.html\">Navigation Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/deep-learning.html\">Deep Learning Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/pde.html\">Partial Differential Equation Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/phased-array.html\">Phased Array System Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/radar.html\">Radar Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/rftoolbox.html\">RF Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/text-analytics.html\">Text Analytics Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/computer-vision.html\">Computer Vision Toolbox<\/a>, <a href=\"https:\/\/uk.mathworks.com\/products\/wlan.html\">WLAN Toolbox<\/a>\u3001\u305d\u3057\u3066 <a href=\"https:\/\/uk.mathworks.com\/matlabcentral\/fileexchange\/125425-matlab-support-package-for-quantum-computing\">MATLAB Support Package for Quantum Computing<\/a> \u3067\u4f7f\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u30da\u30fc\u30b8\u5358\u4f4d\u51e6\u7406\u306e\u884c\u5217\u95a2\u6570\u306e\u6982\u5ff5\u304c\u6280\u8853\u8a08\u7b97\u306e\u591a\u69d8\u306a\u5206\u91ce\u3067\u5f79\u7acb\u3063\u3066\u3044\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/div>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\u958b\u767a\u30c1\u30fc\u30e0\u306e\u4e00\u4eba\u304c\u3001\u73fe\u4ee3\u306e\u901a\u4fe1\u30b7\u30b9\u30c6\u30e0\u3067\u306f OFDM \u3068\u547c\u3070\u308c\u308b\u6280\u8853\u304c\u4f7f\u7528\u3055\u308c\u3066\u304a\u308a\u3001<a href=\"https:\/\/uk.mathworks.com\/discovery\/ofdm.html\">\u30c7\u30fc\u30bf\u304c\u96a3\u63a5\u3059\u308b\u4e00\u9023\u306e\u5468\u6ce2\u6570\u3067\u4e26\u5217\u306b\u7a7a\u4e2d\u306b\u9001\u4fe1\u3055\u308c\u308b<\/a>\u3068\u6559\u3048\u3066\u304f\u308c\u307e\u3057\u305f\u3002\u5404\u5468\u6ce2\u6570\u3067\u306f\u3001\u53d7\u4fe1\u6a5f\u304c\u30c1\u30e3\u30cd\u30eb\u304b\u3089\u306e\u6b6a\u307f\u3092\u89e3\u9664\u3057\u3088\u3046\u3068\u3059\u308b\u7b49\u5316\u51e6\u7406\u304c\u3042\u308a\u3001\u3053\u308c\u3092\u884c\u3046\u305f\u3081\u306b\u306f\u3001\u5404\u5468\u6ce2\u6570\u3067\u6700\u5c0f\u4e8c\u4e57\u554f\u984c\uff08Ax = b\u307e\u305f\u306fAx + n = b\u3001\u3053\u3053\u3067n\u306f\u52a0\u6cd5\u30ac\u30a6\u30b9\u30ce\u30a4\u30ba\u3092\u8868\u3059\uff09\u3092\u89e3\u304d\u307e\u3059\u3002<\/div>\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\u3053\u308c\u3089\u306e\u6700\u5c0f\u4e8c\u4e57\u554f\u984c\u306f\u3001\u95a2\u9023\u3059\u308b\u5168\u3066\u306e\u5468\u6ce2\u6570\u3067 <a href=\"https:\/\/uk.mathworks.com\/help\/matlab\/ref\/pagesvd.html\"><span style=\"font-family: monospace;\">pagesvd<\/span><\/a> \u306e\u3088\u3046\u306a\u30eb\u30fc\u30c1\u30f3\u3092\u4f7f\u7528\u3057\u3066\u4e26\u5217\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001<a href=\"https:\/\/uk.mathworks.com\/help\/comm\/ref\/ofdmequalize.html\">ofdmEqualize<\/a>\uff08Communications Toolbox\uff09\u3001<a href=\"https:\/\/uk.mathworks.com\/help\/5g\/ref\/nrequalizemmse.html\">nrEqualizeMMSE<\/a>\uff085G Toolbox\uff09\u3001<a href=\"https:\/\/uk.mathworks.com\/help\/wlan\/ref\/wlanheequalize.html\">wlanHEEqualize<\/a>\uff08WLAN Toolbox\uff09\u306a\u3069\u306e Toolbox \u95a2\u6570\u306e\u5927\u5e45\u306a\u30b9\u30d4\u30fc\u30c9\u30a2\u30c3\u30d7\u304c\u5b9f\u73fe\u3057\u307e\u3057\u305f\u3002\u3053\u306e\u30b9\u30d4\u30fc\u30c9\u30a2\u30c3\u30d7\u306f\u3001<a href=\"https:\/\/www.mathworks.com\/help\/5g\/ug\/nr-pdsch-throughput.html\">NR PDSCH\u30b9\u30eb\u30fc\u30d7\u30c3\u30c8<\/a> \u306a\u3069\u306e\u4eba\u6c17\u306e\u3042\u308b\u30c7\u30e2\u30b3\u30fc\u30c9\u3067\u9855\u8457\u306a\u30b9\u30d4\u30fc\u30c9\u30a2\u30c3\u30d7\u306b\u3064\u306a\u304c\u308a\u307e\u3057\u305f\u3002<\/div>\n<div style=\"margin: 2px 10px 9px 4px; 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