A decomposition property for a class of square matrices

Zhi Quan Luo; Paul Tseng

doi:10.1016/0893-9659(91)90148-O

A decomposition property for a class of square matrices

Zhi Quan Luo, Paul Tseng

Electrical and Computer Engineering

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

13 Scopus citations

Abstract

We show that a square matrix M has the property that Mκ{script} = 0 whenever κ{script}^TMκ{script} = 0 if and only if it can be decomposed into the form E^TAE, for some matrix E and some matrix A that is either positive definite or negative definite.

Original language	English (US)
Pages (from-to)	67-69
Number of pages	3
Journal	Applied Mathematics Letters
Volume	4
Issue number	5
DOIs	https://doi.org/10.1016/0893-9659(91)90148-O
State	Published - 1991

Bibliographical note

Funding Information:
The research of the firat author is supported by the Natural Sciences and Engineering Research COUUCoJ f

Publisher link

10.1016/0893-9659(91)90148-O

Find It

Find It at U of M Libraries

Cite this

@article{032f79ba8b584dc898edc8703c7b17c6,

title = "A decomposition property for a class of square matrices",

abstract = "We show that a square matrix M has the property that Mκ{script} = 0 whenever κ{script}TMκ{script} = 0 if and only if it can be decomposed into the form ETAE, for some matrix E and some matrix A that is either positive definite or negative definite.",

author = "Luo, {Zhi Quan} and Paul Tseng",

note = "Funding Information: The research of the firat author is supported by the Natural Sciences and Engineering Research COUUCoJ f",

year = "1991",

doi = "10.1016/0893-9659(91)90148-O",

language = "English (US)",

volume = "4",

pages = "67--69",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Limited",

number = "5",

}

TY - JOUR

T1 - A decomposition property for a class of square matrices

AU - Luo, Zhi Quan

AU - Tseng, Paul

N1 - Funding Information: The research of the firat author is supported by the Natural Sciences and Engineering Research COUUCoJ f

PY - 1991

Y1 - 1991

N2 - We show that a square matrix M has the property that Mκ{script} = 0 whenever κ{script}TMκ{script} = 0 if and only if it can be decomposed into the form ETAE, for some matrix E and some matrix A that is either positive definite or negative definite.

AB - We show that a square matrix M has the property that Mκ{script} = 0 whenever κ{script}TMκ{script} = 0 if and only if it can be decomposed into the form ETAE, for some matrix E and some matrix A that is either positive definite or negative definite.

UR - http://www.scopus.com/inward/record.url?scp=0011339710&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011339710&partnerID=8YFLogxK

U2 - 10.1016/0893-9659(91)90148-O

DO - 10.1016/0893-9659(91)90148-O

M3 - Article

AN - SCOPUS:0011339710

SN - 0893-9659

VL - 4

SP - 67

EP - 69

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 5

ER -

A decomposition property for a class of square matrices

Abstract

Bibliographical note

Publisher link

Find It

Other files and links

Fingerprint

Cite this