Published

Jim Wilkinson
I have already made several posts about gatlin, the image distributed with MATLAB of the organizing committee for the...

13 years ago

Published

Hilbert Matrices
The inverse Hilbert matrix, invhilb, has recently made surprise appearances in Cody, the programming game on MATLAB Central,...

13 years ago

Solved

Make a checkerboard matrix
Given an integer n, make an n-by-n matrix made up of alternating ones and zeros as shown below. The a(1,1) should be 1. Example...

13 years ago

Solved

Triangle Numbers
Triangle numbers are the sums of successive integers. So 6 is a triangle number because 6 = 1 + 2 + 3 which can be displa...

13 years ago

Solved

Select every other element of a vector
Write a function which returns every other element of the vector passed in. That is, it returns the all odd-numbered elements, s...

13 years ago

Solved

Times 2 - START HERE
Try out this test problem first. Given the variable x as your input, multiply it by two and put the result in y. Examples:...

13 years ago

Published

Reduced Penultimate Remainder
I investigated the reduced penultimate remainder algorithm in an undergraduate research project under professor John Todd at...

13 years ago

Published

George Forsythe
Tuesday, January 8, 2013, would have been George Forsythe's 96th birthday. He passed away in 1972 at the age of 55. A...

13 years ago

Published

Season’s Greetings
Season's Greetings help greetings % greetings Seasonal holiday fractal. % greetings(phi) generates a seasonal...

13 years ago

Published

Post About 1976 SVD Film Is Available
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13 years ago

Published

1976 Matrix Singular Value Decomposition Film
This blog is about a film that I made in 1976. Here is the link to a digital copy on YouTube:...

13 years ago

Published

Magic Squares Meet Supercomputing
I have just returned from the huge Supercomputing 2012 conference in Salt Lake City. I can report on interesting reactions...

13 years ago

Published

Magic Squares, Part 3, Linear Algebra
We know a little bit, but not much, about the linear algebraic properties of magic squares. ...

13 years ago

Published

Magic Squares, Part 2, Algorithms
...

13 years ago

Published

Magic Squares, Part 1, Low Order
With origins in centuries old recreational mathematics, magic squares demonstrate MATLAB array operations. ... read more...

13 years ago

Published

China Trip Report
I have just completed a wonderful trip, a two-week lecture tour of eight universities in five cities in China. I was...

13 years ago

Published

CHEBFUN, Snake
Chebfun revives a classic video game, with a few mathematical twists (literally)...

13 years ago

Published

CHEBFUN, Roots
The ROOTS function in Chebfun is one of its most powerful features. This is the second part of my series on Chebfun....

13 years ago

Published

CHEBFUN, Numerical Computing With Functions
I recently attended "Chebfun and Beyond", a three-day workshop in Oxford, England. Chebfun is a mathematical research and...

13 years ago

Published

Supremum
Find the supremum of this function....

13 years ago

Published

Game of Life, Part 3, Sampler
The Game of Life. A few more of my favorite populations....

13 years ago

Published

Game of Life, Part 2, Sparse Matrices
The Game of Life, including the infinitely expanding universe, is a gorgeous application of MATLAB sparse matrices.... read...

13 years ago

Published

Game of Life, Part 1, The Rule
This is part one of a series of posts about John Conway's Game of Life. One deceptively simple rule leads to an incredible...

13 years ago

Published

MATLAB Debut and the Potted Palm
The first MATLAB trade show booth at the CDC in December, 1984, included a potted palm....

13 years ago

Published

Can One Hear the Shape of a Drum? Part 3, Transplantation.
This is the third part of a series of posts about Marc Kac's 1966 paper in the American Mathematical Monthly [1]. This part...

13 years ago

Published

Can One Hear the Shape of a Drum? Part 2, Eigenfunctions
This is the second part of a series of posts about Marc Kac's 1966 paper in the American Mathematical Monthly [1]. This part...

13 years ago

Published

Can One Hear the Shape of a Drum? Part 1, Eigenvalues
The title of this multi-part posting is also the title of a 1966 article by Marc Kac in the American Mathematical Monthly...

13 years ago

Published

Pythagorean Addition
How do you compute the hypotenuse of a right triangle without squaring the lengths of the sides and without taking any...

13 years ago

Published

A Balancing Act for the Matrix Exponential
I have been interested in the computation of the matrix exponential, $e^A$, for a long time. A recent query from a user...

13 years ago

Published

Splines and Pchips
MATLAB has two different functions for piecewise cubic interpolation, spline and pchip. Why are there two? How do they...

13 years ago