Minimum permanents on a face of the polytope of doubly stochastic matrices

DOI10.1016/S0024-3795(96)00248-0zbMath0955.15009MaRDI QIDQ1362632

Seok-Zun Song, Sung Min Hong, Seon Jeong Kim, Jun, Young Bae

Publication date: 27 February 2001

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

zbMATH Keywords

doubly stochastic matricesminimum permanentsminimizing matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Stochastic matrices (15B51)

Related Items (5)

Minimum Permanents of Tridiagonal Doubly Stochastic Matrices ⋮ Minimum Permanents on a Face of the Polytope of Doubly Stochastic Matrices II ⋮ Minimum permanents on two faces of the polytope of doubly stochastic matrices ⋮ Permanents of doubly stochastic matrices with diagonal submatrices of fixed order. ⋮ Remarks and open problems on the minimum permanent of acyclic doubly stochastic matrices

Cites Work

• Minimum permanents on certain doubly stochastic matrices
• Minimum permanents on certain faces of matrices containing an identity submatrix
• Minimum permanents on certain doubly stochastic matrices. II
• Convex polyhedra of doubly stochastic matrices. I: Applications of the permanent function
• Minimum permanents on special faces 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

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