Some Löwner partial orders of Schur complements and Kronecker products of matrices

DOI10.1016/S0024-3795(98)10241-0zbMath0936.15016MaRDI QIDQ1300852

Jianzhou Liu

Publication date: 14 May 2000

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

zbMATH Keywords

inequalitiesHermitian matriceseigenvaluessingular valuesKronecker productgeneralized Schur complementLöwner partial ordersemidefinite positive matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

Generalized Schur complements involving the Kronecker products of positive semidefinite matrices

Cites Work

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• Block Kronecker products and the vecb operator
• Schur complements and statistics
• Some interlacing properties of the Schur complement of a Hermitian matrix
• A minimum principle and estimates of the eigenvalues for Schur complements of positive semidefinite Hermitian matrices
• Some results on the Bergstrom and Minkowski inequalities
• Maximal rank of an element of a tensor product
• Generalized Inverse Formulas Using the Schur Complement

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