Vol. 33, No. 3, 1970

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Some matrix factorization theorems. I

Robert Charles Thompson

Vol. 33 (1970), No. 3, 763–810
Abstract

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

C = ABA −1B −1
(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
Authors
Robert Charles Thompson