On a product of positive semidefinite matrices
type: Item
instance of: scholarly article
title: On a product of positive semidefinite matrices
zbMATH Open document ID: 0940.15022
DOI: 10.1016/S0024-3795(99)00014-2
author: A. R. Meenakshi
author: C. Rajian
published in: Linear Algebra and its Applications
publication date: 1999-11-29T00:00:00Z
review text: The matrix \(A\) is said to be positive semidefinite (psd) if there exists a matrix \(P\) such that \(PP^*=A\). If \(A\) and its conjugate transpose \(A^*\) have the same range space, then \(A\) is called EP. Necessary and sufficient conditions are given for the product of two positive semidefinite (psd) matrices to be EP. As a consequence, it is shown that the product of two psd matrices is psd if and only if the product is normal.
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 1371423
zbMATH Keywords: positive semidefinite matrices
zbMATH Keywords: EP matrices
zbMATH Keywords: product
reviewed by: Rodica Covaci
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1371423