Generalized doubly stochastic and permutation matrices over a ring

DOI10.1016/0024-3795(80)90185-8zbMath0437.15006OpenAlexW2041309701MaRDI QIDQ1141209

Peter M. Gibson

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0024-3795(80)90185-8

zbMATH Keywords

generalized doubly stochastic and permutation matrices over a ring

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Stochastic matrices (15B51)

Related Items (9)

Integral Schur-Weyl duality for partition algebras ⋮ An extension of Birkhoff's theorem with an application to determinants ⋮ Weighted complexities of graph products and bundles ⋮ On the linear algebra of generalized doubly stochastic matrices and their equivalence relations and permutation basis ⋮ Doubly stochastic matrices over arbitrary vector spaces and the Birkhoff theorem ⋮ On a Lie-theoretic approach to generalized doubly stochastic matrices and applications ⋮ A characterization of orthogonal permutative matrices of order 4 ⋮ Combinatorial analysis (nonnegative matrices, algorithmic problems) ⋮ Doubly stochastic matrices and Schur-Weyl duality for partition algebras

Cites Work

• Orthogonal matrices as linear combinations of permutation matrices
• Convex polyhedra of doubly stochastic matrices. I: Applications of the permanent function
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