Mathematical Sciences: Faculty Presentations (1991-2022)

The Representation and Iterative Methods for Drazin Inverse with Complex Spectrum

Document Type

Presentation

Presentation Date

3-9-2002

Copyright

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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

Joint Meeting of the Spring Southeastern Section of the American Mathematical Society (AMS-SE) and Southeastern Section of the Mathematical Association of America (MAA-SE)

Location

Atlanta, GA

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