Camille Jordan (1838-1922)... read more >>

# The Jordan Canonical Form Just Doesn’t Compute 4

Posted by **Cleve Moler**,

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

Blogs

Posted by **Cleve Moler**,

Camille Jordan (1838-1922)... read more >>

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

Posted by **Cleve Moler**,

The ACM Special Interest Group on Programming Languages, SIGPLAN, expects to hold the fourth in a series of conferences on the History of Programming Languages in 2020, see HOPL-IV. The first drafts of papers are to be submitted by August, 2018. That long lead time gives me the opportunity to write a detailed history of MATLAB. I plan to write the paper in sections, which I'll post in this blog as they are available. This is the second such installment.... read more >>

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

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 >>

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