Generalized doubly stochastic matrices and linear preservers

DOI10.1080/03081080410001681599zbMath1080.15021OpenAlexW2040466411MaRDI QIDQ4657857

Hanley Chiang, Chi-Kwong Li

Publication date: 14 March 2005

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

Full work available at URL: https://doi.org/10.1080/03081080410001681599

zbMATH Keywords

reducibilitylinear preserverpermutation matriceslinear mapsgeneralized symmetric doubly stochastic matrices

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Stochastic matrices (15B51)

Related Items (7)

Linear preservers of two-sided right matrix majorization on \(\mathbb{R}_{n}\) ⋮ G-tridiagonal majorization on \(\mathbf{M}_{n,m}\) ⋮ Unnamed Item ⋮ Right gut-majorization on M_{n,m} ⋮ Strong Linear Preservers of GW-Majorization on M_n ⋮ Linear preservers of circulant majorization on rectangular matrices ⋮ Unnamed Item

Cites Work

• A characterization of linear transformations which leave the doubly stochastic matrices
• Linear maps leaving invariant subsets of nonnegative symmetric matrices
• Linear maps leaving the alternating group invariant
• Linear maps preserving permutation and stochastic matrices

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