Accession Number : ADA140069

Title :   Contributions to the Computation of the Matrix Exponential. Revision,

Corporate Author : CALIFORNIA UNIV BERKELEY CENTER FOR PURE AND APPLIED MATHEMATICS

Personal Author(s) : Ng,K C

PDF Url : ADA140069

Report Date : Feb 1984

Pagination or Media Count : 82

Abstract : This thesis consists of two parts. First, a condition number for the exponential of a triangular matrix S is introduced. It measures how sensitive is e sub s to relatively small perturbations in the elements of S. Second, a new technique (matrix argument reduction) for computing periodic matrix functions is described and discussed in detail. By applying this technique to the computation of e sub s one can always reduce the problem to one in which the eigenvalues lie close to the real axis.

Descriptors :   *Computations, *Matrices(Mathematics), *Exponential functions, Theorems, Perturbations, Linear systems, Differential equations, Eigenvectors

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE