On the matrix reorderings \(\Gamma\) and \(\Psi\)

DOI10.1016/0024-3795(85)90076-XzbMath0573.15001OpenAlexW2042951286MaRDI QIDQ1063086

Richard D. Hill, Clinton J. Oxenrider

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90076-x

zbMATH Keywords

Hermitian matricesKronecker productspositive semidefinite matricesmatrix reorderingslinear transformations of matricesHermitian-preserving

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Related Items

Order intervals of matrices, On the cone of completely positive linear transformations, Linear matrix maps for which positivity and complete positivity coincide, On \(\kappa\)-real and \(\kappa\)-Hermitian matrices, SINGULAR VALUE DECOMPOSITION AND MATRIX REORDERINGS IN QUANTUM INFORMATION THEORY, Separability of Mixed Quantum States: Linear Contractions and Permutation Criteria, On completely copositive and decomposable linear transformations, Hill representations for \(\ast\)-linear matrix maps, On dissipative matrices

Cites Work

• On the completely positive and positive-semidefinite-preserving cones
• Completely positive and Hermitian-preserving linear transformations
• Linear transformations which preserve Hermitian and positive semidefinite operators
• Decomposable tensors as sums of Dyads
• Characterizations of sums of dyads and of Kronecker products