Generalized Schur complements involving the Kronecker products of positive semidefinite matrices

DOI10.1134/S0001434620010125zbMath1443.15015OpenAlexW3009844586MaRDI QIDQ2191942

Yanyan Li

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620010125

zbMATH Keywords

permutation matrixKronecker productpositive semidefinite matrixgeneralized Schur complement

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Applications of generalized inverses (15A10)

Cites Work

• On Schur complements of sign regular matrices of order \(k\)
• Inertia characteristics of self-adjoint matrix polynomials
• Some interlacing properties of the Schur complement of a Hermitian matrix
• Generalized Schur complements
• Some Löwner partial orders of Schur complements and Kronecker products of matrices
• Generalized inverses. Theory and applications.
• Some inequalities for Schur complements
• Some inequalities on generalized Schur complements
• Some inequalities for eigenvalues of Schur complements of Hermitian matrices
• Schur complements and matrix inequalities of hadamard products^∗
• A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse

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