Schur complements and matrix inequalities of hadamard products∗

DOI10.1080/03081089708818531zbMath0893.15008OpenAlexW2025345184MaRDI QIDQ4376566

Fuzhen Zhang, Bo Ying Wang

Publication date: 11 February 1998

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

Full work available at URL: https://doi.org/10.1080/03081089708818531

zbMATH Keywords

positive definite matricesmatrix inequalitiesHadamard productsSchur complementsprincipal submatrix

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45)

Related Items (16)

A matrix inequality on Schur complements ⋮ A Matrix Identity on the Schur Complement ⋮ BACKWARD PERTURBATION ANALYSIS AND RELATIVE ALGORITHMS FOR NONSYMMETRIC LINEAR SYSTEMS WITH MULTIPLE RIGHT-HAND SIDES ⋮ The further generalization on the inequalities for Hadamard products of any number of invertible Hermitian matrices ⋮ Generalized Schur complements involving the Kronecker products of positive semidefinite matrices ⋮ Hadamard product and related inequalities in the Jordan spin algebra ⋮ On the Hadamard product of inverse \(M\)-matrices ⋮ Some inequalities on generalized Schur complements ⋮ Equivalence of the wielandt inequality and the kantorovich inequality ⋮ Inequalities involving Hadamard products of positive semidefinite matrices ⋮ C*-algebraic Schur product theorem, P\'{o}lya-Szeg\H{o}-Rudin question and Novak's conjecture ⋮ Block minimum perturbation algorithm based on block Arnoldi process for nonsymmetric linear systems with multiple right-hand sides ⋮ A Schur complement inequality for certain P-matrices ⋮ Two inequalities involving Hadamard products of positive semi-definite Hermitian matrices ⋮ Several inequalities involving Khatri-Rao products of positive semidefinite matrices ⋮ Schur complements and matrix inequalities in the Löwner ordering

Cites Work

• Unnamed Item
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Some results on the Bergstrom and Minkowski inequalities
• Matrix Analysis
• On principal submatrices
• Notes on hadamard products of matrices
• Trace and Eigenvalue Inequalities for Ordinary and Hadamard Products of Positive Semidefinite Hermitian Matrices

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