On the linear algebra of generalized doubly stochastic matrices and their equivalence relations and permutation basis

DOI10.1007/BF03167108zbMath0618.15014OpenAlexW2031973787MaRDI QIDQ3754748

Hang-Chin Lai

Publication date: 1986

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167108

zbMATH Keywords

doubly stochastic matrixpermutation matricesrow equivalencetotal algebra of linear operators

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30) Stochastic matrices (15B51)

Related Items (2)

Integral Schur-Weyl duality for partition algebras ⋮ Doubly stochastic matrices and Schur-Weyl duality for partition algebras

Cites Work

• Stochastic matrices. I. Similarity via stochastic transforms
• Generalized doubly stochastic and permutation matrices over a ring
• Essentially stochastic matrices - factorizations into elementary and quasi-elementary matrices
• Essentially doubly stochastic matrices. II: Canonical forms for row equivalence, equivalence, and a special case of congruence
• Essentially doubly stochastic matrices. I: Elements of the theory over arbitrary fields
• Real essentially stochastic matrices: factorizations into special elementary matrices
• Essentially doubly stochastic matrices
• Essentially doubly stochastic matrices

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