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Posts 21 - 30 of 102

結果: Numerical Analysis

Complexity of Computing the Eigenvalues of a Symmetric Matrix 1

I am giving a five-minute talk today, May 26, at the virtual seminar on Complexity of Matrix Computations. Here are my slides. Two new MATLAB functions, tred and imtql, instrumented to count flops, are available in symeig.m.... 続きを読む >>

Computing Eigenvalues of Symmetric Matrices 1

Computing Eigenvalues of Symmetric MatricesSee revision.Get the MATLAB code (requires JavaScript) Published with MATLAB®... 続きを読む >>

Solving Commodious Linear Systems 2

This is about linear systems with fewer equations than variables; A*x = b where the m -by- n matrix A has fewer rows that columns, so m < n . I have always called such systems wide or fat, but this is not respectful. So I consulted the Merriam-Webster Thesaurus and found commodious.... 続きを読む >>

Round, With Tie Breakers, Round Three 1

I recently published Round, With Ties to Even and followed that with Round Two. Then, in an email, Andy Bartlett pointed out that my new round function fails for some large values of x between flintmax/2 and flintmax.... 続きを読む >>

Round, With Tie Breakers, Round Two

I published Round, With Ties to Even a couple of days ago. Steve Eddins and Daniel Dolan immediately had substantive comments. Here is my reaction to their comments.... 続きを読む >>

Round, With Ties to Even 2

We are considering a MATLAB Enhancement Request to support options for round(x) when x is exactly halfway between two integers.... 続きを読む >>

CR and CAB, Rank Revealing Matrix Factorizations 5

The rank of a linear transformation is a fundamental concept in linear algebra and matrix factorizations are fundamental concepts in numerical linear algebra. Gil Strang's 2020 Vision of Linear Algebra seeks to introduce these notions early in an introductory linear algebra course.... 続きを読む >>

A Famous Equation, x^2 = 2^x

A recent episode of the popular YouTube channel "blackpenredpen" is about solutions to the famous equation... 続きを読む >>

Paul Saylor, 1939-2020 1

My friend Paul Saylor passed away on November 7th.... 続きを読む >>

Anticipating Official U.S. Census for 2020 2

On October 13, the U.S. Supreme Court ruled that the U.S. Census Bureau could stop the 2020 census early. Here is a link to just one of many recent news articles about the census, New York Times.... 続きを読む >>

Posts 21 - 30 of 102