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Permutation matrices whose convex combinations are orthostochastic

Authors
Journal
Linear Algebra and its Applications
0024-3795
Publisher
Elsevier
Publication Date
Volume
150
Identifiers
DOI: 10.1016/0024-3795(91)90172-s
Disciplines
  • Mathematics

Abstract

Abstract Let P 1,…, P m be n× n permutation matrices. In this note, we give a simple necessary condition for all convex combinations of P 1,…, P m to be orthostochastic. We show that for n⩽15 the condition is also sufficient, but for n⩾15 whether the condition is sufficient or not is still open.

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