The monotonicity of and the Đoković conjectures on permanents of doubly stochastic matrices

DOI10.1016/0024-3795(86)90296-XzbMath0595.15016WikidataQ123007953 ScholiaQ123007953MaRDI QIDQ1077492

Suk-Geun Hwang

Publication date: 1986

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

zbMATH Keywords

doubly stochastic matricessubpermanentsDjoković conjecture

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45) Stochastic matrices (15B51)

Related Items

On a conjecture of E. Dittert, Convexity of the permanent for doubly stochastic matrices, On the Monotonicity of the Permanent, On some permanental conjectures, A note on the convexity of the sum of subpermanents, The monotonicity of the permanent function, Maximization of a matrix function related to the Dittert conjecture

Cites Work

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• Doubly stochastic matrices with equal subpermanents
• On a conjecture by D. Z. Dokovic
• Monotonicity of permanents of certain doubly stochastic circulant matrices
• Monotonicity of permanents of certain doubly stochastic matrices
• Extensions of classical matrix inequalities
• An interesting face of the polytope of doubly stochastic matrices
• Minimum permanent on faces of staircase type of the polytope of doubly stochastic matrices
• Concerning the question of monotonicity of the permanent on the doubly stochastic matrices^†
• Behavior of the permanent of a special class of doubly stochastic matrices
• On the Đoković conjecture for matrices of rank two
• Monotonicity Conjecture on Permanents of Doubly Stochastic Matrices
• A proof of a generalized van der Waerden conjecture on permanents
• Doubly stochastic matrices with dominant p-minors
• Monotonicity of permanents of doubly stochastic matrices
• Theory of permanents 1978–1981
• A relation between the permanental and determinantal adjoints
• On the Permanent of a Bistochastik Matrix.