Charles T. Fulton

Mathematical software for Sturm-Liouville problems

Software is described for the Sturm-Liouville eigenproblem. Eigenvalues, eigenfunctions, and spectral density functions can be estimated with global error control. The method of approximating the coefficients forms the mathematical basis. The underlying algorithms are briefly described, and several examples are presented.

Large Least Squares Problems Involving Kronecker Products

The general problem considered here is the least squares solution of

Cache efficient bidiagonalization using BLAS 2.5 operators

(A \otimes B)x = t

The computation of spectral density functions for singular Sturm-Liouville problems involving simple continuous spectra

, where

Improved parallel QR method for large least squares problems involving Kronecker products

A

An asymptotic numerical method for a class of singular Sturm-Liouville problems

and

Using the SLEDGE package on Sturm-Liouville problems having nonempty essential spectra

B

PARALLEL COMPUTATION OF STURM-LIOUVILLE SPECTRAL DENSITY FUNCTIONS∗ †

are full rank, rectangular matrices, and

Software for closed-form solutions of linear time-invariant differential systems

A \otimes B

Some Open Problems on Asymptotics of m-Coefficients

is the Kronecker product of