An extension of genralized pseudo-involutions

Author

Oliver K. Tavakoli

Date of Award

6-1985

Degree Type

Thesis

Degree Name

Master of Science

Major

Mathematics

Major Professor

Randall E. Cline

Committee Members

Robert M. McConnel, Steven M. Serbin

Abstract

Solutions of the nonlinear matrix equation αA + βX = αβAX are characterized in terms of the Drazin inverse of A, and are shown to provide an extension of generalized pseudo-involutions when X = A_d. Computational techniques are developed to construct general n by n matrices A such that X = A_d, and corresponding complete sets of eigenvectors and associated generalized eigenvectors. These results are illustrated by numerical examples using real matrices and also integral matrices whose elements are chosen from a finite field.

Recommended Citation

Tavakoli, Oliver K., "An extension of genralized pseudo-involutions. " Master's Thesis, University of Tennessee, 1985.
https://trace.tennessee.edu/utk_gradthes/14452