Löwner-ordering antitonicity of generalized inverses of Hermitian matrices

DOI10.1016/0024-3795(90)90342-AzbMath0697.15007MaRDI QIDQ911683

George P. H. Styan, Jerzy K. Baksalary, Kenneth Nordström

Publication date: 1990

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

zbMATH Keywords

Löwner partial orderingMoore-Penrose inversesgeneralized inversesantitonicityinertias of Hermitian matricesinverses of positive definite Hermitian matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (9)

Characterizations of admissible linear estimators in the linear model ⋮ Antitonicity of the inverse for selfadjoint matrices, operators, and relations ⋮ On Löwner-ordering antitonicity of matrix inversion ⋮ Moore-Penrose inverse and partial orders on Hilbert space operators ⋮ Matrix monotonicity and concavity of the principal pivot transform ⋮ Characterizations and dispersion-matrix robustness of efficiently estimable parametric functionals in linear models with nuisance parameters ⋮ Proper splittings and reduced solutions of matrix equations ⋮ Equalities and inequalities for inertias of Hermitian matrices with applications ⋮ Some remarks on partial orderings of hermitian matrices

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