標題: | Product of two positive contractions |
作者: | Li, Chi-Kwong Pelejo, Diane Christine Wang, Kuo-Zhong 應用數學系 Department of Applied Mathematics |
關鍵字: | Positive semidefinite matrices;Orthogonal projections;Eigenvalues |
公開日期: | 15-七月-2016 |
摘要: | 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 |
期刊: | LINEAR ALGEBRA AND ITS APPLICATIONS |
Volume: | 501 |
起始頁: | 409 |
結束頁: | 423 |
顯示於類別: | 期刊論文 |