Permanents of doubly stochastic matrices with diagonal submatrices of fixed order.

DOI10.1016/j.laa.2003.06.006zbMath1038.15013OpenAlexW2050660668MaRDI QIDQ1415289

Suk-Geun Hwang, Eun-Young Lee

Publication date: 3 December 2003

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.06.006

zbMATH Keywords

doubly stochastic matrixbarycenterpermanent functionlocal minimum pointpermanent minimization problem

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Determinants, permanents, traces, other special matrix functions (15A15) Stochastic matrices (15B51)

Cites Work

• Minimum permanents on certain doubly stochastic matrices
• Minimum permanents on certain faces of matrices containing an identity submatrix
• On the minimum value of the permanent of a nearly decomposable doubly stochastic matrix
• Convex polyhedra of doubly stochastic matrices. I: Applications of the permanent function
• Minimum permanents on a face of the polytope of doubly stochastic matrices
• Minimum permanents of doubly stochastic matrices with prescribed zero entries^†
• An interesting face of the polytope of doubly stochastic matrices
• Inequalities: theory of majorization and its applications

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