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

商学部

研究成果: Article › 査読

2 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	147-154
ページ数	8
ジャーナル	Linear Algebra and Its Applications
巻	55
号	C
DOI	https://doi.org/10.1016/0024-3795(83)90173-8
出版ステータス	Published - 1983 12

ASJC Scopus subject areas

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

文献へのアクセス

10.1016/0024-3795(83)90173-8

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引用スタイル

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