Posts 31 - 40 of 99

Results for: Numerical Analysis

Pejorative Manifolds of Polynomials and Matrices, part 2

In an unpublished 1972 technical report "Conserving confluence curbs ill-condition," Velvel Kahan coined the descriptive term pejorative manifold. In case you don't use it in everyday conversation, pejorative means "expressing contempt or disapproval."... read more >>

Pejorative Manifolds of Polynomials and Matrices, part 1 2

In an unpublished 1972 technical report "Conserving confluence curbs ill-condition," Velvel Kahan coined the descriptive term pejorative manifold. In case you don't use it in everyday conversation, pejorative means "expressing contempt or disapproval."... read more >>

A Matrix for the New HPL-AI Benchmark 2

My colleagues are looking for a matrix to be used in a new benchmark. They've come to the right place.... read more >>

Bohemian Matrices in the MATLAB® Gallery 2

We will have a two-part minisymposium on "Bohemian Matrices" at ICIAM2019, the International Congress on Industrial and Applied Mathematics in Valencia, Spain, July 15-19. This is an outline of my talk.... read more >>

Matrix Eigenvalue Dating Service 1

This is a summary of my talk at the conference Celebrating the Centenary of James H. Wilkinson's Birth at the University of Manchester, May 29.... read more >>

An Eigenvalue Sensitivity Example

On May 29-30, I plan to attend a conference, organized by Nick Higham, at the University of Manchester. The title of the conference is... read more >>

Continued Fractions and Function “rat” 1

Let me tell you about MATLAB's controversial function rat.... read more >>

Makima Piecewise Cubic Interpolation

This post is by my colleague Cosmin Ionita.... read more >>

Experiments with Variable Format Half Precision

For the past month I have been working with the variable format 16-bit floating point arithmetic that I described in this post. It has been frustrating work. I have found that the limited precision and limited range of half precision make it barely usable for the kind of experiments with matrix computation that I like to do. In this post I will describe a few of these experiments.... read more >>

Floating Point Arithmetic Before IEEE 754 1

In a comment following my post about half-precision arithmetic, "Raj C" asked how the parameters for IEEE Standard 754 floating point arithmetic were chosen. I replied that I didn't know but would try to find out. I called emeritus U. C. Berkeley Professor W. (Velvel) Kahan, who was the principle architect of 754. Here is what I learned.... read more >>

Posts 31 - 40 of 99