Posts 21 - 30 of 308

R2-D2, Rotations and Dilations in Two Dimensions 1

R2_D2 is is the name I've given a new MATLAB program that provides animations of 2-by-2 rotation and dilation matrices. I admit I chose "dilations" so the acronym would be memorable, but otherwise the code has little to do with the famous Star Wars droid.... read more >>

My Chat With ChatGPT 5

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.... read more >>

Grafix Users Guide

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

Matrices In Action, Grafix 2.0 3

The Swinging Sticks is a kinetic sculpture that exhibits chaotic motion. The device became very popular after it upstaged Tony Stark in Iron Man 2. My daughter Carolyn gave me a desktop version of Swinging Sticks for Christmas. I immediately set out to simulate it.... read more >>

Singular Matrix Pencils and the QZ Algorithm, Update

(The January 5 posting was premature and incomplete.)... read more >>

Singular Matrix Pencils and the QZ Algorithm 1

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

Color Cube Meets Rubik’s Cube

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.... read more >>

Christian Reinsch, Roland Bulirsch, and the SVD 2

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.... read more >>

An Interactive Version of colorcubes

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.... read more >>

modfun, A Short Program Produces Impressive Graphics 4

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

Posts 21 - 30 of 308

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