Mathematical Sciences: Faculty Presentations (1991-2022)

The Representation and Iterative Methods for Drazin Inverse with Complex Spectrum

Document Type

Presentation

Presentation Date

10-29-2001

Copyright

This work is archived and distributed under the repository's Standard Copyright and Reuse License (opens in new tab). End users may copy, store, and distribute this work without restriction. For all other uses, permission must be obtained from the copyright owners or their authorized agents.

Abstract or Description

A general iterative method for the Drazin inverse of a squre matrix with complex spectrum and its error bound are derived. Euler-Knopp and Newton-Raphson methods for the real spectrum case are generalized. Semiiterative methods for the Drazin inverse is also developed. Numerical examples are given to illustrate the theoretic results.

Sponsorship/Conference/Institution

Workshop on Numerical Linear Algebra in Scientific and Engineering Applications

Location

Toronto, Canada

Share

COinS