Some inequalities on generalized Schur complements
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Publication:1970437
DOI10.1016/S0024-3795(99)00071-3zbMath0947.15010MaRDI QIDQ1970437
Fuzhen Zhang, Xiuping Zhang, Bo Ying Wang
Publication date: 7 November 2000
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
inequalitieseigenvaluesgeneralized inversepositive semidefinite matricesMoore-Penrose pseudoinversegeneralized Schur complement
Theory of matrix inversion and generalized inverses (15A09) Inequalities involving eigenvalues and eigenvectors (15A42)
Related Items (8)
A matrix inequality on Schur complements ⋮ A Matrix Identity on the Schur Complement ⋮ Generalized Schur complements involving the Kronecker products of positive semidefinite matrices ⋮ On generalized Schur complement of matrices and its applications to real and integer matrix factorizations ⋮ Expression of the Drazin and MP-inverse of partitioned matrix and quotient identity of generalized Schur complement ⋮ The Schur complements of generalized doubly diagonally dominant matrices ⋮ Two inequalities involving Hadamard products of positive semi-definite Hermitian matrices ⋮ The equivalent form of a matrix inequality and its application
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- Matrix Analysis
- Schur complements and matrix inequalities of hadamard products∗
- Trace and Eigenvalue Inequalities for Ordinary and Hadamard Products of Positive Semidefinite Hermitian Matrices
- Applications of an Inequality for the Schur Complement
- A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse
- Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
- Matrix theory. Basic results and techniques
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