Necessary and sufficient conditions for multivariate majorization

Hidetoshi Komiya

doi:10.1016/0024-3795(83)90173-8

Necessary and sufficient conditions for multivariate majorization

Hidetoshi Komiya

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

1 Citation (Scopus)

Abstract

Let X and Y be m × n matrices whose elements are in K, a real or complex field. We obtain necessary and sufficient conditions for the existence of a matrix A belonging to the convex hull of a certain subgroup of the general linear group GL_n(K) such that X = YA, which unite and generalize several known results concerning majorization.

Original language	English
Pages (from-to)	147-154
Number of pages	8
Journal	Linear Algebra and Its Applications
Volume	55
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(83)90173-8
Publication status	Published - 1983 Dec
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/0024-3795(83)90173-8

Cite this

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title = "Necessary and sufficient conditions for multivariate majorization",

abstract = "Let X and Y be m × n matrices whose elements are in K, a real or complex field. We obtain necessary and sufficient conditions for the existence of a matrix A belonging to the convex hull of a certain subgroup of the general linear group GLn(K) such that X = YA, which unite and generalize several known results concerning majorization.",

author = "Hidetoshi Komiya",

year = "1983",

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language = "English",

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T1 - Necessary and sufficient conditions for multivariate majorization

AU - Komiya, Hidetoshi

PY - 1983/12

Y1 - 1983/12

N2 - Let X and Y be m × n matrices whose elements are in K, a real or complex field. We obtain necessary and sufficient conditions for the existence of a matrix A belonging to the convex hull of a certain subgroup of the general linear group GLn(K) such that X = YA, which unite and generalize several known results concerning majorization.

AB - Let X and Y be m × n matrices whose elements are in K, a real or complex field. We obtain necessary and sufficient conditions for the existence of a matrix A belonging to the convex hull of a certain subgroup of the general linear group GLn(K) such that X = YA, which unite and generalize several known results concerning majorization.

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UR - http://www.scopus.com/inward/citedby.url?scp=0346590898&partnerID=8YFLogxK

U2 - 10.1016/0024-3795(83)90173-8

DO - 10.1016/0024-3795(83)90173-8

M3 - Article

AN - SCOPUS:0346590898

SN - 0024-3795

VL - 55

SP - 147

EP - 154

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - C

ER -

Necessary and sufficient conditions for multivariate majorization

Abstract

ASJC Scopus subject areas

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