# Cleve’s Corner: Cleve Moler on Mathematics and ComputingScientific computing, math & more

Posts 1 - 10 of 38

# Complexity of Computing the Eigenvalues of a Symmetric Matrix1

I am giving a five-minute talk today, May 26, at the virtual seminar on Complexity of Matrix Computations. Here are my slides. Two new MATLAB functions, tred and imtql, instrumented to count flops, are available in symeig.m.... 더 읽어보기 >>

# Computing Eigenvalues of Symmetric Matrices1

Computing Eigenvalues of Symmetric MatricesSee revision.Get the MATLAB code (requires JavaScript) Published with MATLAB®... 더 읽어보기 >>

# Two Dubious Ways to Solve A*X = X*B, part 12

Recently, I had email from a student in Italy.... 더 읽어보기 >>

# Roundoff Patterns from Triple Kronecker Products

While I was working on my posts about Pejorative Manifolds, I was pleased to discover the intriguing patterns created by the roundoff error in the computed eigenvalues of triple Kronecker products.... 더 읽어보기 >>

# 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In an unpublished 1972 technical report "Conserving confluence curbs ill-condition," Velvel Kahan coined the descriptive term pejorative manifold.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."... 더 읽어보기 >>

# The QR Algorithm Computes Eigenvalues and Singular Values

The QR algorithm is one of the world's most successful algorithms. We can use animated gifs to illustrate three variants of the algorithm, one for computing the eigenvalues of a nonsymmetric... 더 읽어보기 >>

# Bohemian Matrices in the MATLAB® Gallery2

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.... 더 읽어보기 >>

# 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... 더 읽어보기 >>

# 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.... 더 읽어보기 >>

Posts 1 - 10 of 38