The adjacency matrix of a hypercube demonstrates the new MATLAB graph object.... read more >>

# Hypercubes and Graphs

Posted by **Cleve Moler**,

**Category:**- Eigenvalues,
- Fun,
- Graphics,
- History,
- Matrices

Blogs

Posted by **Cleve Moler**,

The adjacency matrix of a hypercube demonstrates the new MATLAB graph object.... read more >>

**Category:**- Eigenvalues,
- Fun,
- Graphics,
- History,
- Matrices

Posted by **Cleve Moler**,

A few days ago we received email from Mike Hennessey, a mechanical engineering professor at the University of St. Thomas in St. Paul, Minnesota. He has been reading my book “Numerical Computing with MATLAB” very carefully. Chapter 7 is about “Eigenvalues and Singular Values” and section 10.3 is about one of my all-time favorite MATLAB demos, `eigshow`. Mike discovered an error in my description of the `svd` option of `eigshow` that has gone unnoticed in the over ten years that the book has been available from both the MathWorks web site and SIAM…. read more >>

**Category:**- Eigenvalues,
- Matrices,
- Numerical Analysis,
- People

Posted by **Cleve Moler**,

During the SIAM Annual Meeting this summer in Boston there will be a special minisymposium Wednesday afternoon, July 13, honoring Charlie Van Loan, who is retiring at Cornell. (I use "at" because he's not leaving Ithaca.) I will give a talk titled "19 Dubious Way to Compute the Zeros of a Polynomial", following in the footsteps of the paper about the matrix exponential that Charlie and I wrote in 1978 and updated 25 years later. I really don't have 19 ways to compute polynomial zeros, but then I only have a half hour for my talk. Most of the methods have been described previously in this blog. Today's post is mostly about "roots".... read more >>

Posted by **Cleve Moler**,

What does $\sqrt[12]{2}$ have to do with music? What are *equal temperament* and *just intonation*? How can the MATLAB function `rats` help tune a piano? (This post is based in part on the *Music* chapter in my online book, *Experiments in MATLAB*.)… read more >>

**Category:**- Eigenvalues,
- Fun,
- Music

Posted by **Cleve Moler**,

A model of the human gait, developed by Nikolaus Troje, is a five-term Fourier series with vector-valued coefficients that are the principal components for data obtained in motion capture experiments involving subjects walking on a treadmill.... read more >>

**Category:**- Eigenvalues,
- Fun,
- Graphics,
- People

Posted by **Cleve Moler**,

When a deck of playing cards is shuffled perfectly, the result is not random. A perfect shuffle places the cards in a mathematically precise order. As a result, when the most common version of a perfect shuffle is repeated eight times, the deck returns to its original state.... read more >>

**Category:**- Algorithms,
- Eigenvalues,
- Fun,
- Matrices

Posted by **Cleve Moler**,

Th. J. Dekker's *zeroin* algorithm from 1969 is one of my favorite algorithms. An elegant technique combining bisection and the secant method for finding a zero of a function of a real variable, it has become `fzero` in MATLAB today. This is the first of a three part series.... read more >>

**Category:**- Algorithms,
- Eigenvalues,
- History,
- Numerical Analysis,
- People

Posted by **Cleve Moler**,

A rectangular box, such as a book or a cell phone, thrown in the air can tumble stably about its longest axis, or about its shortest axis, but not about its middle axis.... read more >>

Posted by **Cleve Moler**,

Fritz Bauer, eminent German computer scientist and last surviving member of the organizing committee of the 1964 Gatlingburg Conference on Numerical Algebra, passed away on March 26 at the age of 90.... read more >>

**Category:**- Eigenvalues,
- History,
- Matrices,
- Numerical Analysis,
- People

Posted by **Cleve Moler**,

The Method of Particular Solutions computes a highly accurate approximation to the eigenvalue we have been seeking, and guaranteed bounds on the accuracy. It also provides flexibility involving the boundary conditions that leads to the MathWorks logo.
... read more >>

## Recent Comments