Necessary and sufficient conditions for multivariate majorization

Hidetoshi Komiya

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 GLn(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
55
C
DOI
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

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