On partial orderings on the set of rectangular matrices

DOI10.1016/0024-3795(93)00212-IzbMath0833.15012WikidataQ127532988 ScholiaQ127532988MaRDI QIDQ1890759

Jan Hauke, Augustyn Markiewicz

Publication date: 23 May 1995

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

zbMATH Keywords

partial orderingrectangular matricesstar orderingLoewner orderingHermitian nonnegative definite matricespolar decomposition of matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Algebraic systems of matrices (15A30)

Related Items (7)

Some characterizations and properties of a new partial order ⋮ A new partial order based on core partial order and star partial order ⋮ A partial order on the set of complex matrices with index one ⋮ Inter- and extrapolatory properties of matrix partial orderings ⋮ Partial orderings, preorderings, and the polar decomposition of matrices ⋮ Simultaneous polar decomposition of rectangular complex matrices ⋮ The polar-like decomposition and its applications

Cites Work

• On some characterizations of the star partial ordering for matrices and rank subtractivity
• Mean square error matrix improvements and admissibility of linear estimators
• Matrix Analysis
• Natural structures on semigroups with involution
• Inequalities: theory of majorization and its applications
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