Concerning the question of monotonicity of the permanent on the doubly stochastic matrices†

DOI10.1080/03081088008817336zbMath0428.15004OpenAlexW1965689839MaRDI QIDQ3864645

Richard Sinkhorn

Publication date: 1980

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081088008817336

zbMATH Keywords

permanent on doubly stochastic matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15)

Related Items (4)

The monotonicity of and the Đoković conjectures on permanents of doubly stochastic matrices ⋮ Monotonicity of permanents of direct sums of doubly stochastic matrices ⋮ On a conjecture by D. Z. Dokovic ⋮ Combinatorial analysis (nonnegative matrices, algorithmic problems)

Cites Work

• Doubly stochastic matrices with minimal permanents
• On the minimum of the permanent of a doubly stochastic matrix
• Some notes on the van der Waerden conjecture
• Doubly stochastic matrices with dominant p-minors
• Monotonicity of permanents of doubly stochastic matrices
• The permanent at a minimum on certain classes of doubly stochastic matrices

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