Linear operators preserving multivariate majorization

DOI10.1016/S0024-3795(99)00227-XzbMath0954.15016MaRDI QIDQ1970498

Sang-Gu Lee, Leroy B. Beasley

Publication date: 7 June 2000

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

zbMATH Keywords

multivariate majorizationdoubly stochastic matrixmajorization preserving linear transformation

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Linear transformations, semilinear transformations (15A04) Stochastic matrices (15B51)

Related Items

A characterization of strong preservers of matrix majorization, Linear operators preserving combinatorial matrix sets, Linear operators preserving and converting majorizations of the \((0, 1)\)-vectors, Linear operators preserving majorization of matrix tuples, Linear converters of weak, directional and strong majorizations, Linear preservers of weak majorization on \(\ell^{1}(I)^{+}\), when \(I\) is an infinite set, Linear maps which preserve or strongly preserve weak majorization, Linear operators preserving directional majorization, Weak matrix majorization, Linear maps preserving group majorization, Converting column majorization, Linear preservers of Hadamard majorization, Linear operators preserving strong majorization of (0,1)-matrices, Linear preservers of weak majorization on \(\ell^{p}(I)^{+}\), when \(p\in (1,\infty)\)

Cites Work

• Majorization, doubly stochastic matrices, and comparison of eigenvalues
• Matrix majorization
• Majorizations and inequalities in matrix theory
• Comments on and complements to: ``Inequalities: Theory of majorization and its applications, by Albert W. Marshall and Ingram Olkin
• RESOLUTION OF THE CONJECTURE ON STRONG PRESERVERS OF MULTIVARIATE MAJORIZATION
• Chapter 4:algebraic sets, polynomials, and other functions
• Inequalities: theory of majorization and its applications
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