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Posts 111 - 120 of 332

It is Friday the 13th Again 4

Today is Friday, March 13, 2020. In many parts of the world, Friday the 13th is considered unlucky. I've written blog posts about Friday the 13th before, 2012, 2018, but I will have something new to say today.... 更多内容 >>

Gene Golub’s 22nd Birthday 1

Tomorrow, February 29, 2020 would be Gene Golub's 22nd birthday.... 更多内容 >>

Roundoff Patterns from Triple Kronecker Products

While I was working on my posts about Pejorative Manifolds, I was pleased to discover the intriguing patterns created by the roundoff error in the computed eigenvalues of triple Kronecker products.... 更多内容 >>

Pejorative Manifolds of Polynomials and Matrices, part 2

In an unpublished 1972 technical report "Conserving confluence curbs ill-condition," Velvel Kahan coined the descriptive term pejorative manifold. In case you don't use it in everyday conversation, pejorative means "expressing contempt or disapproval."... 更多内容 >>

Pejorative Manifolds of Polynomials and Matrices, part 1 2

In an unpublished 1972 technical report "Conserving confluence curbs ill-condition," Velvel Kahan coined the descriptive term pejorative manifold. In case you don't use it in everyday conversation, pejorative means "expressing contempt or disapproval."... 更多内容 >>

MathWorks Blue Meets Air Force Academy Blue 4

I have always been fascinated by the names that are used to describe colors. There are dozens of web sites with lists of color names. I was surprised to discover that the shade of blue we use in MathWorks logo is almost the same as the one used by the United States Air Force Academy.... 更多内容 >>

Christmas Greetings 2019 2

Inspired by Patsy and https://www.amazon.com/gp/product/B075JDVR53. type xmas_2019.m function xmas_2019 % Christmas greetings. set(gcf,'pos',[800 200 420 315]) clf ... 更多内容 >>

A Matrix for the New HPL-AI Benchmark 2

My colleagues are looking for a matrix to be used in a new benchmark. They've come to the right place.... 更多内容 >>

Color Order for Line Plots 1

Line plots with a color order from one of our color maps are useful, and pretty.... 更多内容 >>

Stability of Kuramoto Oscillators

I am working with Indika Rajapakse and Steve Smale to investigate the stability of the dynamic system describing Kuramoto oscillators. Indika and Steve are interested in Kuramoto oscillators for two reasons; the self synchronization provides a model of the cells in a beating heart and the dynamic system is an example for Morse-Smale theory. I am personally interested in the Kuramoto model as it relates to deep brain stimulation (DBS) for open-loop control of human movement disorders. My kuramoto program demonstrates both stable and unstable critical points. Roundoff error may destabilize an unstable critical point.... 更多内容 >>

Posts 111 - 120 of 332

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