In 1988, while I was with Ardent Computer in Silicon Valley, I gave a talk that previewed MATLAB graphics. The title was "Pictures of Matrices". At the time, a mathematician friend of mine asked.... read more >>

The twenty-second Householder Symposium on Numerical Linear Algebra was held June 8 - June 13 at Cornell. The local organizers were Anil Damle, Alex Townsend and David Bindel. Anil served as host and cheerleader.... read more >>

The twenty-second Householder Symposium on Numerical Linear Algebra is this week, June 8 - June 13, 2025 at Cornell. My talk on Wednesday had the provocative title "A Million-Dollar Matrix". A PDF of the slides available at link_1. The talk covers posts in the Cleve's Corner blog last fall. link_2, link_3, link_4.... read more >>

Two years ago, in March of 2023, an unlikely team of mathematical hobbyists announced the discovery of a remarkable 13-sided polygon that they nick-named the "Hat". Today, a Google search for the Hat's more formal name, "Aperiodic Monotile", yields dozens of links.... read more >>

A look at the structure, and the eigenvalues and singular values of interesting test matrices.... read more >>

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.... read more >>

A friend is investigating the use of generative AI in his classes. I asked two different popular chatbots to write MATLAB programs for a mathematically nontrivial problem. Both chatbots understood my query and both wrote plausible MATLAB programs, but one of the programs was not correct. My recommendation for coursework: carefully read and test programs produced by generative AI and repair any incorrect ones.... read more >>

Shortly after I published the second post about the Mertens conjecture, a reader's comment suggested a new approach to computing Redheffer determinants and the Mertens function. It is now possible to compute a half-million values of the Mertens function in about five hours.... read more >>

Shortly after I posted Redheffer, Mertens and One-Million Dollars a few days ago, Mathworks' Pat Quillen made an important observation about computing the Mertens function.... read more >>

I didn't know anything about these topics until a couple of weeks ago. Now I can't stop thinking about them.... read more >>