Product of two positive contractions in memory of Professor Robert Thompson

Chi Kwong Li; Diane Christine Pelejo; Kuo-Zhong Wang

doi:10.1016/j.laa.2016.03.016

Product of two positive contractions in memory of Professor Robert Thompson

Chi Kwong Li, Diane Christine Pelejo, Kuo-Zhong Wang^*

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	409-423
Number of pages	15
Journal	Linear Algebra and Its Applications
Volume	501
DOIs	https://doi.org/10.1016/j.laa.2016.03.016
State	Published - 15 Jul 2016

Keywords

Eigenvalues
Orthogonal projections
Positive semidefinite matrices

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10.1016/j.laa.2016.03.016

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title = "Product of two positive contractions in memory of Professor Robert Thompson",

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.",

keywords = "Eigenvalues, Orthogonal projections, Positive semidefinite matrices",

author = "Li, {Chi Kwong} and Pelejo, {Diane Christine} and Kuo-Zhong Wang",

year = "2016",

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doi = "10.1016/j.laa.2016.03.016",

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journal = "Linear Algebra and Its Applications",

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AU - Li, Chi Kwong

AU - Pelejo, Diane Christine

AU - Wang, Kuo-Zhong

PY - 2016/7/15

Y1 - 2016/7/15

N2 - 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.

AB - 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.

KW - Eigenvalues

KW - Orthogonal projections

KW - Positive semidefinite matrices

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DO - 10.1016/j.laa.2016.03.016

M3 - Article

AN - SCOPUS:84961997854

SN - 0024-3795

VL - 501

SP - 409

EP - 423

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Product of two positive contractions in memory of Professor Robert Thompson

Abstract

Keywords

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