On the convex combinations of matrices and the sum of subpermanents

DOI10.1080/03081089008817986zbMath0698.15002OpenAlexW2092873040MaRDI QIDQ3475402

Massoud Malek

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/03081089008817986

zbMATH Keywords

doubly stochastic matrixMarcus-Minc conjectureconvex combinations of matricesHolens-Doković conjecturesum of subpermanents

Mathematics Subject Classification ID

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

Related Items (4)

Notes on permanental and subpermanental inequalities ⋮ An update on Minc's survey of open problems involving permanents ⋮ On the monotonicity of the sum of subpermanents of doubly stochastic matrices ⋮ The Holens-Đoković conjecture on permanents fails!

Cites Work

• Extensions of classical matrix inequalities
• A note on a conjecture of M. Marcus and H. Minc
• Theory of permanents 1982–1985
• Permanents of convex combinations of doubly stochastic matrices
• On a conjecture of M. Marcus and H. Minc
• Remarks on a conjecture of M. Marcus and H. Minc
• Theory of permanents 1978–1981

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