Löwner partial ordering and space preordering of Hermitian non-negative definite matrices

DOI10.1016/S0024-3795(00)00282-2zbMath0979.15019MaRDI QIDQ5932213

Jürgen Gross

Publication date: 12 February 2002

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

zbMATH Keywords

Hermitian matrix spaceLöwner partial orderingpreordering of matricesrow space

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (6)

Characterizations of minus and star orders between the squares of Hermitian matrices ⋮ On the star and minus orders on Hilbert space operators ⋮ Relationships between partial orders of matrices and their powers. ⋮ A note on the star order in Hilbert spaces ⋮ Unnamed Item ⋮ Construction of a class of sharp Löwner majorants for a set of symmetric matrices

Cites Work

• Unnamed Item
• Spectrum and trace invariance criterion and its statistical applications
• Left-star and right-star partial orderings
• The matrix inequality \(M \leq B^*MB\)
• Ordering of nonnegative definite matrices with application to comparison of linear models
• On some characterizations of the star partial ordering for matrices and rank subtractivity
• Admissible linear estimation in a general Gauss-Markov model with an incorrectly specified dispersion matrix
• On the Löwner, minus, and star partial orderings of nonnegative definite matrices and their squares
• Some further results on Hermitian-matrix inequalities
• Some properties of matrix partial orderings
• Natural structures on semigroups with involution

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