Published

It is Friday the 13th Again
Today is Friday, March 13, 2020. In many parts of the world, Friday the 13th is considered unlucky. I've written blog...

6 years ago

Published

Gene Golub’s 22nd Birthday
Tomorrow, February 29, 2020 would be Gene Golub's 22nd birthday....

6 years ago

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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...

6 years ago

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Pejorative Manifolds of Polynomials and Matrices, part 2
In an unpublished 1972 technical report "Conserving confluence curbs ill-condition," Velvel Kahan coined the descriptive...

6 years ago

Published

Pejorative Manifolds of Polynomials and Matrices, part 1
In an unpublished 1972 technical report "Conserving confluence curbs ill-condition," Velvel Kahan coined the descriptive...

6 years ago

Published

MathWorks Blue Meets Air Force Academy Blue
I have always been fascinated by the names that are used to describe colors. There are dozens of web sites with lists of...

6 years ago

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Christmas Greetings 2019
Inspired by Patsy and https://www.amazon.com/gp/product/B075JDVR53. type xmas_2019.m function xmas_2019 %...

6 years ago

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A Matrix for the New HPL-AI Benchmark
My colleagues are looking for a matrix to be used in a new benchmark. They've come to the right place....

6 years ago

Published

Color Order for Line Plots
Line plots with a color order from one of our color maps are useful, and pretty....

6 years ago

Submitted

Kuramoto's model of synchronizing oscillators
The Kuramoto model is a nonlinear dynamic system of coupled oscillators that initially have random natural frequencies and phase...

6 years ago | 6 downloads |

5.0 / 5

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Stability of Kuramoto Oscillators
I am working with Indika Rajapakse and Steve Smale to investigate the stability of the dynamic system describing Kuramoto...

6 years ago

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Prime Spiral #2
Today's post was inspired by a YouTube video, Why do prime numbers make these spirals?, on the channel 3Blue1Brown, created...

6 years ago

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Experiments With Kuramoto Oscillators
I have learned a lot more about Kuramoto oscillators since I wrote my blog post three weeks ago. I am working with Indika...

6 years ago

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Kuramoto Model of Synchronized Oscillators
Fireflies on a summer evening, pacemaker cells, neurons in the brain, a flock of starlings in flight, pendulum clocks...

6 years ago

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The QR Algorithm Computes Eigenvalues and Singular Values
The QR algorithm is one of the world's most successful algorithms. We can use animated gifs to illustrate three variants...

6 years ago

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Hadamard Matrices
I have just returned from the ICIAM2019 conference in Valencia, Spain. It was a huge conference -- 4,000+ attendees, dozens...

6 years ago

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The World’s Simplest Impossible Problem
(This is a reprint of the second ever Cleve's Corner from the Winter 1990 MathWorks Newsletter).The other day at lunch...

6 years ago

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Bohemian Matrices in the MATLAB® Gallery
We will have a two-part minisymposium on "Bohemian Matrices" at ICIAM2019, the International Congress on Industrial and...

6 years ago

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Matrix Eigenvalue Dating Service
This is a summary of my talk at the conference Celebrating the Centenary of James H. Wilkinson's Birth at the University of...

6 years ago

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An Eigenvalue Sensitivity Example
On May 29-30, I plan to attend a conference, organized by Nick Higham, at the University of Manchester. The title of the...

6 years ago

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Continued Fractions and Function “rat”
Let me tell you about MATLAB's controversial function rat....

6 years ago

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Makima Piecewise Cubic Interpolation
This post is by my colleague Cosmin Ionita....

6 years ago

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The Reuleaux Triangle and Curves of Constant Width
Why are manhole covers round? It is so they won't fall through the hole they are intended to cover. They have the same...

6 years ago

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Biorhythms and Energy Vortices Near Sedona, Arizona
Sedona Arizona is a perfect site for the first MathWorks excursion into lifestyle products....

6 years ago

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Benchmarking a GPU
I recently acquired a GPU, a graphics processing unit. It's called a GPU because such processors were originally...

7 years ago

Published

Amaze, A Maze Generator
My MATLAB® program, amaze, generates mazes by combining old friends, numgrid and delsq, with a new friend, the graph object....

7 years ago

Submitted

7 years ago | 6 downloads |

0.0 / 5

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Experiments with Variable Format Half Precision
For the past month I have been working with the variable format 16-bit floating point arithmetic that I described in this...

7 years ago

Published

Floating Point Arithmetic Before IEEE 754
In a comment following my post about half-precision arithmetic, "Raj C" asked how the parameters for IEEE Standard 754...

7 years ago

Published

Variable Format Half Precision Floating Point Arithmetic
A year and a half ago I wrote a post about "half precision" 16-bit floating point arithmetic, Moler on fp16. I followed this...

7 years ago