Product of two positive contractions

doi:10.1016/j.laa.2016.03.016

Title:	Product of two positive contractions
Authors:	Li, Chi-Kwong Pelejo, Diane Christine Wang, Kuo-Zhong 應用數學系 Department of Applied Mathematics
Keywords:	Positive semidefinite matrices;Orthogonal projections;Eigenvalues
Issue Date:	15-Jul-2016
Abstract:	Several characterizations are given for a square matrix that can be written as the product of two positive (semidefinite) contractions. Based on one of these characterizations, and the theory of alternating projections, a Matlab program is written to check the condition and construct the two positive contractions whose product equal to the given matrix, if they exist. (C) 2016 Elsevier Inc. All rights reserved.
URI:	http://dx.doi.org/10.1016/j.laa.2016.03.016 http://hdl.handle.net/11536/133606
ISSN:	0024-3795
DOI:	10.1016/j.laa.2016.03.016
Journal:	LINEAR ALGEBRA AND ITS APPLICATIONS
Volume:	501
Begin Page:	409
End Page:	423
Appears in Collections:	Articles