On Löwner-ordering antitonicity of matrix inversion

DOI10.1007/BF02029073zbMath0891.15002MaRDI QIDQ1367115

Erkki P. Liski

Publication date: 17 September 1997

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

Löwner partial orderingMoore-Penrose inversematrix inversioncomplex matricesantitonicity

Mathematics Subject Classification ID

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

Related Items (1)

Matrix monotonicity and concavity of the principal pivot transform

Cites Work

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• Löwner-ordering antitonicity of generalized inverses of Hermitian matrices
• Some properties of matrix partial orderings
• Über monotone Matrixfunktionen
• A further note on a theorem on the difference of the generalized inverses of two nonnegative definite matrices
• Some further aspects of the löwner-ordering antitonicity of the moore-penrose inverse
• Matrix Analysis
• A theorem on the difference of the generalized inverses of two nonnegative matrices
• A note on the partial ordering of positive semi-definite matrices
• Pseudoinverss of Postive Semidefeinite Matrices

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