Article ID Journal Published Year Pages File Type
4628255 Applied Mathematics and Computation 2014 7 Pages PDF
Abstract

In this paper, we discuss the minimal rank of A-BXA-BX when X   is Hermitian by applying singular value decomposition and some rank equalities of matrices, and obtain a representation of the minimal rank. Based on the representation, we obtain necessary and sufficient conditions for the matrix equation BX=ABX=A to have Hermitian solutions.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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