While it is still fresh in my mind, I want to describe the conversation I had with a publicly available version of ChatGPT, the much-discussed large language model, LLM, for conversational artificial intelligence.... 더 읽어보기 >>

This is a quick look at Grafix, our tool for exploring matrices via 3-D computer graphics.... 더 읽어보기 >>

The 4-by-4 matrices in the panels on the following screenshots are at the heart of computer graphics. They describe objects moving in three-dimensional space and are essential to MATLAB's Handle Graphics, to CAD (Computer Added Design) packages, to CGI (Computer Graphics Imagery) in films, and to most popular video games.... 더 읽어보기 >>

(The January 5 posting was premature and incomplete.)... 더 읽어보기 >>

This year, 2023, is the 50-th anniversary of the QZ algorithm for generalized matrix eignenvalue problems,... 더 읽어보기 >>

I have made a half dozen blog posts about Rubik's Cube so far this year. And, during the MATLAB Central Mini Hack in October, I resurrected an old code about the Color Cube. Now, a combination of the two, Rubik/Color Qube, creates an elegant tool for investigating Matrices in Action.... 더 읽어보기 >>

Christian Reinsch and Roland Bulirsch both passed away recently, Reinsch on October 8 and Bulirsch on September 21. Reinsch was 88 years old and Bulirsch was 89. Both of them were retired professors of numerical analysis at the Technical University of Munich. Both of them were friends of mine. But in almost all other ways, they were very different people.... 더 읽어보기 >>

A 231-character static version of colorcubes in the current MiniHack generated quite a bit of interest. So I am posting the full version, where you can change number of cubes and the view point, at this link.... 더 읽어보기 >>

This nifty graphics gem started with a contribution by Paul Villain to the MATLAB 2022 Mini Hack, currently taking place on MATLAB Central.... 더 읽어보기 >>

"Clever Toys" is a puzzle company in the Czech Republic. Their Web site describes five different hand-made, wooden puzzles that are related mathematically to the Rubik's Cube.... 더 읽어보기 >>