New matrix partial order based on spectrally orthogonal matrix decomposition

Alexander Guterman; Alicia Herrero; Néstor Thome

doi:10.1080/03081087.2015.1041365

New matrix partial order based on spectrally orthogonal matrix decomposition

Alexander Guterman, Alicia Herrero, Néstor Thome

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

Abstract

We investigate partial orders on the set of complex square matrices and introduce a new order relation based on spectrally orthogonal matrix decompositions. We also establish the relation of this concept with the known orders.

Original language	English
Pages (from-to)	362-374
Number of pages	13
Journal	Linear and Multilinear Algebra
Volume	64
Issue number	3
DOIs	https://doi.org/10.1080/03081087.2015.1041365
State	Published - 3 Mar 2016
Externally published	Yes

Keywords

minus order
sharp order
spectrally orthogonal matrix decomposition
spectrum

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1080/03081087.2015.1041365

Cite this

@article{6677ba74354c40dcad6c541fcca0a1aa,

title = "New matrix partial order based on spectrally orthogonal matrix decomposition",

abstract = "We investigate partial orders on the set of complex square matrices and introduce a new order relation based on spectrally orthogonal matrix decompositions. We also establish the relation of this concept with the known orders.",

keywords = "minus order, sharp order, spectrally orthogonal matrix decomposition, spectrum",

author = "Alexander Guterman and Alicia Herrero and N{\'e}stor Thome",

note = "Publisher Copyright: {\textcopyright} 2015 Taylor \& Francis.",

year = "2016",

month = mar,

day = "3",

doi = "10.1080/03081087.2015.1041365",

language = "الإنجليزيّة",

volume = "64",

pages = "362--374",

journal = "Linear and Multilinear Algebra",

issn = "0308-1087",

publisher = "Taylor and Francis Ltd.",

number = "3",

}

TY - JOUR

T1 - New matrix partial order based on spectrally orthogonal matrix decomposition

AU - Guterman, Alexander

AU - Herrero, Alicia

AU - Thome, Néstor

PY - 2016/3/3

Y1 - 2016/3/3

N2 - We investigate partial orders on the set of complex square matrices and introduce a new order relation based on spectrally orthogonal matrix decompositions. We also establish the relation of this concept with the known orders.

AB - We investigate partial orders on the set of complex square matrices and introduce a new order relation based on spectrally orthogonal matrix decompositions. We also establish the relation of this concept with the known orders.

KW - minus order

KW - sharp order

KW - spectrally orthogonal matrix decomposition

KW - spectrum

UR - http://www.scopus.com/inward/record.url?scp=84953366994&partnerID=8YFLogxK

U2 - 10.1080/03081087.2015.1041365

DO - 10.1080/03081087.2015.1041365

M3 - مقالة

SN - 0308-1087

VL - 64

SP - 362

EP - 374

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

IS - 3

ER -

New matrix partial order based on spectrally orthogonal matrix decomposition

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this