On an equality and four inequalities for generalized inverses of Hermitian matrices

DOI10.13001/1081-3810.1503zbMath1253.15025OpenAlexW327605548MaRDI QIDQ3166843

Yonge Tian

Publication date: 1 November 2012

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol23_pp11-42.pdf

zbMATH Keywords

Schur complementinequalitymatrix inequalitiesLöwner partial orderingHermitian matrixMoore-Penrose inverseRankequalityexpansion formulamatrix equalityparallel sum of matricesshorted matrixInertiageneralized inverse of matrix

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) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

A survey on rank and inertia optimization problems of the matrix-valued function \(A+BXB^\ast\) ⋮ Classification analysis to the equalities A^(i,…,j) = B^(k,…,l) for generalized inverses of two matrices

This page was built for publication: On an equality and four inequalities for generalized inverses of Hermitian matrices