Published

Ulps Plots Reveal Math Function Accuracy
"ULP" stands for "unit in the last place." An ulps plot samples a fundamental math function such as $\sin{x}$, or a more...

9 years ago

Published

Fitting and Extrapolating US Census Data
A headline in the New York Times at the end of 2016 said "Growth of U.S. Population Is at Slowest Pace Since 1937". This...

9 years ago

Published

Season’s Greetings Fractal
I don't recall where I found this seasonal fractal. And I can't explain how it works. So please submit a comment if you can...

9 years ago

Published

My First Matrix, RGB, YIQ, and Color Cubes
When I was in high school in the 1950's, I didn't know anything about matrices. But I nearly encountered one when I wrote a...

9 years ago

Published

Four Fundamental Subspaces of Linear Algebra, Corrected
(Please replace the erroneous posting from yesterday, Nov. 28, with this corrected version.)...

9 years ago

Published

Four Fundamental Subspaces of Linear Algebra
Here is a very short course in Linear Algebra. The Singular Value Decomposition provides a natural basis for Gil Strang's...

9 years ago

Published

My Favorite ODE
My favorite ordinary differential equation provides a good test of ODE solvers, both numeric and symbolic. It also provides...

9 years ago

Published

Introducing Cleve’s Laboratory
I am launching a project that I call Cleve's Laboratory. My most recent Cleve's Corner column in MathWorks News & Notes...

9 years ago

Published

Apologies to Gram-Schmidt
This is a follow-up to my previous follow-up, posted several days ago. A very careful reader, Bruno Bazzano, contributed a...

9 years ago

Published

Compare Gram-Schmidt and Householder Orthogonalization Algorithms
This is a follow-up to my previous post. Classical Gram-Schmidt and Modified Gram-Schmidt are two algorithms for...

9 years ago

Published

Householder Reflections and the QR Decomposition
The QR decomposition is often the first step in algorithms for solving many different matrix problems, including linear...

9 years ago

Published

Matrix Multiplication Flexes House
A new app employs transformations of a graphic depicting a house to demonstrate matrix multiplication....

9 years ago

Published

The Pentium Papers — My First MATLAB Central Contribution
MATLAB Central is celebrating its 15th birthday this fall. In honor of the occasion, MathWorks bloggers are reminiscing...

9 years ago

Submitted

Game of Life
Game of Life with populations from the Life Lexicon

9 years ago | 5 downloads |

5.0 / 5

Submitted

Cleve's Corner Computing Pi
Cleve's Corner on Computing Pi and three MATLAB programs.

9 years ago | 2 downloads |

5.0 / 5

Submitted

Generate figures for Cleve's Corner on Compressed Sensing
Demonstration of compressed sensing.

9 years ago | 2 downloads |

4.8 / 5

Submitted

Using Numerical Computing with MATLAB in the Classroom
M-files used in the webinar held on April 27, 2004.

9 years ago | 1 download |

3.75 / 5

Submitted

Biorhythm
How is your week going?

9 years ago | 1 download |

4.0 / 5

Submitted

Blackjack
Play individual hands of the card game, or simulate a session.

9 years ago | 2 downloads |

4.8 / 5

Submitted

Pentium Division Bug Documents
A collection of documents associated with the Pentium division bug.

9 years ago | 1 download |

5.0 / 5

Published

Jim Sanderson, Two Careers: Computational Scientist and Conservationist
Jim Sanderson has had a fascinating professional life. He was my PhD student in math at the University of New Mexico in...

9 years ago

Published

Bug Report Revives Interest in SVD Option of “Eigshow”
A few days ago we received email from Mike Hennessey, a mechanical engineering professor at the University of St. Thomas...

9 years ago

Published

Compare Gram-Schmidt and Householder Orthogonalization Algorithms
Classical Gram-Schmidt and Modified Gram-Schmidt are two algorithms for orthogonalizing a set of vectors. Householder...

9 years ago

Published

The Graeffe Root-Squaring Method for Computing the Zeros of a Polynomial
At a minisymposium honoring Charlie Van Loan this week during the SIAM Annual Meeting, I will describe several dubious...

9 years ago

Published

19 Dubious Ways to Compute the Zeros of a Polynomial
During the SIAM Annual Meeting this summer in Boston there will be a special minisymposium Wednesday afternoon, July 13,...

9 years ago

Published

Math and Music
What does $\sqrt[12]{2}$ have to do with music? What are equal temperament and just intonation? How can the MATLAB...

9 years ago

Published

Modernization of Numerical Integration, From Quad to Integral
The MATLAB functions for the numerical evaluation of integrals has evolved from quad, through quadl and quadgk, to today's...

9 years ago

Published

Strang and Moler Video Course on Differential Equations
Gil Strang has produced a MOOC-style video course on Differential Equations and Linear Algebra. I have added some videos...

9 years ago

Published

Further Twists of the Moebius Strip
The equations generating a surf plot of the Moebius strip can be parameterized and the parameters allowed to take on...

9 years ago

Published

The Eigenwalker Model of the Human Gait
A model of the human gait, developed by Nikolaus Troje, is a five-term Fourier series with vector-valued coefficients that...

10 years ago