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

Posts 1 - 10 of 40

# Blog Post Number 300, Vibrating Logo2

This is post number 300 of Cleve's Corner blog. The first post was on June 6, 2012, which is 600 weeks ago. So, I have averaged one post every two weeks for over a decade. The posts were more frequent in the early days and are less frequent today.... read more >>

# Singular Matrix Pencils and the QZ Algorithm, Update

(The January 5 posting was premature and incomplete.)... read more >>

# 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.... read more >>

# Computing Eigenvalues of Symmetric Matrices1

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

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

Recently, I had email from a student in Italy.... read more >>

# 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.... read more >>

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In an unpublished 1972 technical report "Conserving confluence curbs ill-condition," Velvel Kahan coined the descriptive term pejorative manifold.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

# 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... read more >>

# 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.... read more >>

# Matrix Eigenvalue Dating Service1

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 >>

Posts 1 - 10 of 40