# Cleve’s Corner: Cleve Moler on Mathematics and ComputingScientific computing, math & more

Posts 1 - 10 of 14

# Digital Simulation of Rubik’s Cube with Qube2

This blog post describes Qube, my Rubik's Cube simulator. Source code for Qube is now available in one single file from this link: Qube_osf.m. I will also submit the code to the MATLAB Central File Exchange. As usual, I welcome any feedback.... 더 읽어보기 >>

# Solving Commodious Linear Systems2

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.... 더 읽어보기 >>

# CR and CAB, Rank Revealing Matrix Factorizations5

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.... 더 읽어보기 >>

# Addition to SVD and Partisanship in the U. S. Senate

I have added this section to my post a few weeks ago about using the SVD to measure partisanship in the United States Senate.... 더 읽어보기 >>

# SVD Quantifies Increasing Partisanship in the U. S. Senate5

Many observers have noted that the United States Senate has become increasingly partisan in recent years. Votes are being made more frequently along strict political party lines. The singular value decomposition, the SVD, of matrices derived from records of roll call votes in the senate can measure this partisanship.... 더 읽어보기 >>

# Gene Golub’s 22nd Birthday1

Tomorrow, February 29, 2020 would be Gene Golub's 22nd birthday.... 더 읽어보기 >>

# The QR Algorithm Computes Eigenvalues and Singular Values

The QR algorithm is one of the world's most successful algorithms. We can use animated gifs to illustrate three variants of the algorithm, one for computing the eigenvalues of a nonsymmetric... 더 읽어보기 >>

# C^5, Cleve’s Corner Collection Card Catalog2

I have been writing books, programs, newsletter columns and blogs since 1990. I have now collected all of this material into one repository. Cleve's Corner Collection consists of 458 "documents", all available on the internet. There are... 더 읽어보기 >>

# Latent Semantic Indexing, SVD, and Zipf’s Law5

Latent Semantic Indexing, LSI, uses the Singular Value Decomposition of a term-by-document matrix to represent the information in the documents in a manner that facilitates responding to queries and other information retrieval tasks. I set out to learn for myself how LSI is implemented. I am finding that it is harder than I thought.... 더 읽어보기 >>

Posts 1 - 10 of 14