Posts 1 - 10 of 98

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Möbius, Mertens and Redheffer 6

Recently, I have made a series of blog posts about Redheffer matrices and the Mertens conjecture. After each of the posts, readers and colleagues offered suggestions to speed up the calculations. Here is a summary of what I have learned.... 更多内容 >>

NA_Digest and NA_Net

The NA-Digest is an electronic newsletter for the numerical analysis and scientific software community. The NA-Digest is one of world's first examples of social networking. The Digest is one of the forces that makes our community a living, viable community.... 更多内容 >>

A Treacherous SVD 1

A few days ago, a bug report from our office in Cambridge caught my attention. Computing the singular values and singular vectors of a particular matrix would sometimes cause MATLAB to crash.... 更多内容 >>

SuperSum, In Defense of Floating Point Arithmetic 1

Floating point arithmetic doesn't get the respect it deserves. Many people consider it mysterious, fuzzy, unpredictable. These misgivings often occur in discussion of vector sums. Our provocatively named SuperSum is intended to calm these fears.... 更多内容 >>

A Sixty-Year Old Program for Predicting the Future 2

The graphics in my post about R^2 were produced by an updated version of a sixty-year old program involving the U.S. census. Originally, the program was based on census data from 1900 to 1960 and sought to predict the population in 1970. The software back then was written in Fortran, the predominate technical programming language a half century ago. I have updated the MATLAB version of the program so that it now uses census data from 1900 to 2020.... 更多内容 >>

Nick Higham (1961-2024) 1

Nick Higham passed away last Saturday. Nick was a close friend of mine and a great friend of MATLAB. I will leave it to others to describe his research and teaching, his many honors, and his service to our community, especially SIAM. I have just a few, more personal, comments.... 更多内容 >>

Exponential Fitting, Separable Least Squares, and Quahogs 1

We have been investigating a recent bug report about fitnlm, the Statistics and Machine Learning Toolbox function for robust fitting of nonlinear models.... 更多内容 >>

Exploring Matrices

I have spent much of my career working to bring abstract linear algebra and practical matrix computation closer together. This project is my latest effort.... 更多内容 >>

MiniGallery, Sampler of MATLAB Test Matrices

MATLAB has dozens of test matrices. Here are a few.... 更多内容 >>

ARLS, Automatically Regularized Least Squares 13

(I have a guest blogger today. Ron Jones worked with me in 1985 for his Ph. D. from the University of New Mexico. He retired recently after nearly 40 years at Sandia National Labs in Albuquerque and now has a chance to return to the problem he studied in his thesis. -- CBM)... 更多内容 >>

Posts 1 - 10 of 98