
Accession Number : AD0742904
Title : On the Solutions of the Matrix Equation XAXX.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Greville,T. N. E.
Report Date : DEC 1971
Pagination or Media Count : 9
Abstract : For a given m x n complex matrix A, it is shown that X satisfies XAX=X if and only if it expressible in the form X = (EAF)*, where E and F are Hermitian idempotents and the * denotes the MoorePenrose inverse. In particular, a matrix is idempotent if and only if it is the MoorePenrose inverse of the product of two Hermitian idempotents. (The 'if' part of the latter statement was previously shown by Cline). (Author)
Descriptors : (*MATRICES(MATHEMATICS), THEOREMS), VECTOR SPACES
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE