Permutation matrices whose convex combinations are orthostochastic

DOI10.1016/0024-3795(91)90172-SzbMath0723.15019MaRDI QIDQ757545

Yik-Hoi Au-Yeung, Che-Man Cheng

Publication date: 1991

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

zbMATH Keywords

convex combinationsdoubly stochastic matrixpermutation matricesmatrix grouporthostochastic matrix

Mathematics Subject Classification ID

Stochastic matrices (15B51) Other matrix groups over fields (20H20)

Related Items (8)

Robust Hadamard matrices, unistochastic rays in Birkhoff polytope and equi-entangled bases in composite spaces ⋮ Separation of unistochastic matrices from the double stochastic ones: Recovery of a 3×3 unitary matrix from experimental data ⋮ Algebraic and geometric structures inside the Birkhoff polytope ⋮ Entropy of orthogonal matrices and minimum distance orthostochastic matrices from the uniform van der Waerden matrices ⋮ Maximal energy extraction via quantum measurement ⋮ On orthostochastic, unistochastic and qustochastic matrices ⋮ Pre-order between diagonal elements and singular values of real matrices ⋮ Birkhoff's polytope and unistochastic matrices, \(N=3\) and \(N=4\)

Cites Work

• \(3\times 3\) orthostochastic matrices and the convexity of generalized numerical ranges
• Products of elementary doubly stochastic matrices
• Inclusion relations between outhostochastic matrices and products of pinching matrices
• On the crossing rule
• On Matrices whose Nontrivial Real Linear Combinations are Nonsingular
• Isoclinic 𝑛-planes in Euclidean 2𝑛-space, Clifford parallels in elliptic (2𝑛-1)-space, and the Hurwitz matrix equations
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix

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