Some remarks on partial orderings of hermitian matrices

DOI10.1080/03081089708818490zbMath0870.15012OpenAlexW2041507009WikidataQ126247969 ScholiaQ126247969MaRDI QIDQ3126472

Jürgen Gross

Publication date: 31 March 1997

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

Full work available at URL: https://doi.org/10.1080/03081089708818490

zbMATH Keywords

Hermitian matricesLöwner partial ordering

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30) Ordered rings, algebras, modules (06F25)

Related Items (2)

Matrix monotonicity and concavity of the principal pivot transform ⋮ Relationships between partial orders of matrices and their powers.

Cites Work

• Löwner-ordering antitonicity of generalized inverses of Hermitian matrices
• On some characterizations of the star partial ordering for matrices and rank subtractivity
• Some properties of matrix partial orderings
• A theorem on the difference of the generalized inverses of two nonnegative matrices
• A note on the partial ordering of positive semi-definite matrices
• Unnamed Item

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