# Fun With The Pascal Triangle 3

Posted by **Cleve Moler**,

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

Blogs

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

Posted by **Cleve Moler**,

The Householder meetings on Numerical Linear Algebra have been held roughly every three years since 1961. The twentieth, with the logo **HHXX**, was held June 18th through 23rd at Virginia Tech in Blacksburg, Virginia. I've been to 17 of the meetings. They have been an important part of my professional life and I've written Cleve's Corner articles and blog posts about them, MathWorks News & Notes, and Householder XIX.... read more >>

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