Some matrix factorization theorems. I

Robert Charles Thompson

Vol. 33 (1970), No. 3, 763–810

DOI: 10.2140/pjm.1970.33.763

Abstract

The object of this paper is to make an exhaustive study of the matrix equation

(1)

when A,B, and C are normal matrices. We shall specialize these matrices in various ways by requiring that C,A, or B lie in one or more of the well-known subclasses of the class of normal matrices (Hermitian, unitary, real skew symmetric, etc.). We shall also demand from time to time that C commute with A, or B, or both.

Mathematical Subject Classification

Primary: 15.30

Milestones

Received: 9 December 1966

Revised: 11 November 1969

Published: 1 June 1970