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

14 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

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10.1016/0893-9659(91)90148-O

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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",

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volume = "4",

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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.

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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

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