A minimum principle and estimates of the eigenvalues for Schur complements of positive semidefinite Hermitian matrices
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Publication:1369351
DOI10.1016/S0024-3795(96)00595-2zbMath0885.15010MaRDI QIDQ1369351
Publication date: 8 April 1998
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)
Related Items
The Schur complements of \(\gamma\)-diagonally and product \(\gamma\)-diagonally dominant matrix and their disc separation ⋮ The improved disc theorems for the Schur complements of diagonally dominant matrices ⋮ The Schur complement of strictly doubly diagonally dominant matrices and its application ⋮ The dominant degree and disc theorem for the Schur complement of matrix ⋮ Some inequalities for eigenvalues of Schur complements of Hermitian matrices ⋮ Some Löwner partial orders of Schur complements and Kronecker products of matrices ⋮ Some inequalities for singular values and eigenvalues of generalized Schur complements of products of matrices
Cites Work
- Some inequalities for the eigenvalues of the product of positive semidefinite Hermitian matrices
- Some interlacing properties of the Schur complement of a Hermitian matrix
- Inequalities Connected with Definite Hermitian Forms, II
- Inequalities: theory of majorization and its applications
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