On pairs of multidimensional matrices
type: Item
instance of: scholarly article
title: On pairs of multidimensional matrices
zbMATH Open document ID: 0567.15010
DOI: 10.1016/0024-3795(84)90101-0
published in: Linear Algebra and its Applications
publication date: 1984-01-01T00:00:00Z
review text: Recently \textit{R. Bapat} [ibid. 48, 437-442 (1982; Zbl 0503.15008)] applied a topological theorem of Kronecker and generalized a theorem of Sinkhorn on positive matrices. Here we give an alternative proof of a slightly stronger version of his generalization. This proof combines Kakutani's fixed point theorem and the duality theorem of linear programming and gives yet another proof of a theorem of Bacharach and Menon on pairs of nonnegative matrices.
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 90C05
zbMATH DE Number: 3904766
zbMATH Keywords: pairs of multidimensional matrices
zbMATH Keywords: Kakutani's fixed point theorem
author: Thirukkannamangai E. S. Raghavan
MaRDI profile type: Publication
full work available at URL: 0024-3795(84)90101-0
OpenAlex ID: W2048403706
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description: scientific article; zbMATH DE number 3904766