Strong linear preservers of symmetric doubly stochastic or doubly substochastic matrices.

DOI10.1016/S0024-3795(03)00452-XzbMath1059.15005OpenAlexW2018666534MaRDI QIDQ1426299

Shwu-Huey Lin, Bit-Shun Tam

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(03)00452-x

zbMATH Keywords

Linear preserverLOCC graphsNeighborly extreme pointSymmetric doubly stochastic matrixSymmetric doubly substochastic matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Linear transformations, semilinear transformations (15A04) Stochastic matrices (15B51)

Related Items (3)

Zero-term rank and zero-star cover number of symmetric matrices and their linear preservers ⋮ Primitive symmetric matrices and their preservers ⋮ Preservers of term ranks and star cover numbers of symmetric matrices

Cites Work

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• On the extreme points of the set of substochastic and symmetric matrices
• Linear maps leaving invariant subsets of nonnegative symmetric matrices
• On the extreme points of a certain convex polytope
• Linear maps leaving the alternating group invariant
• Linear maps preserving permutation and stochastic matrices

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