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 Wikipedia article on Pascal's Triangle has hundreds of properties of the triangle and there are dozens of other Web pages devoted to it. Here are a few facts that I find most interesting.
... read more >>

**Category:**- Fun,
- Matrices,
- Numerical Analysis

Posted by **Cleve Moler**,

In the 1970s and early 1980s, while I was working on the LINPACK and EISPACK projects that I discussed in two previous posts, I was a Professor of Mathematics and then of Computer Science at the University of New Mexico in Albuquerque. I was teaching courses in Linear Algebra and Numerical Analysis. I wanted my students to have easy access to LINPACK and EISPACK without writing Fortran programs. By "easy access" I meant not going through the remote batch processing and the repeated edit-compile-link-load-execute process that was ordinarily required on the campus central mainframe computer.... read more >>

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

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 third such installment.... read more >>

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

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**,

My post on May 8 was about "half-precision" and "quarter-precision" arithmetic. I also added code for objects `fp16` and `fp8` to Cleve's Laboratory. A few days ago I heard from Pierre Blanchard and my good friend Nick Higham at the University of Manchester about a serious bug in the constructors for those objects.... read more >>

**Category:**- Numerical Analysis,
- Precision

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.... read more >>

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

Posted by **Cleve Moler**,

Leslie Fox (1918-1992) is a British numerical analyst who was a contemporary of three men who played such an important role in my education and early professional life, John Todd, George Forsythe, and Jim Wilkinson. Although I saw less of Fox than I did of the others, he was still an important influence in my life.... read more >>

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

Posted by **Cleve Moler**,

Latent Semantic Indexing, LSI, uses the Singular Value Decomposition of a term-by-document matrix to represent the information in the documents in a manner that facilitates responding to queries and other information retrieval tasks. I set out to learn for myself how LSI is implemented. I am finding that it is harder than I thought.... read more >>

**Category:**- Numerical Analysis,
- Singular Values

Posted by **Cleve Moler**,

A couple of questions in comments on recent blog posts have prompted me to discuss matrix condition numbers.... read more >>

**Category:**- Matrices,
- Numerical Analysis,
- Performance

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