Some results on the partial orderings of block matrices

DOI10.1186/1029-242X-2011-54zbMath1271.15021WikidataQ59268838 ScholiaQ59268838MaRDI QIDQ357382

Hu Yang, Xifu Liu

Publication date: 30 July 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

Moore-Penrose inversematrix partial orderingsblock matrixminus orderingstar ordering

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

• Left-star and right-star partial orderings
• Particular formulae for the Moore--Penrose inverse of a columnwise partitioned matrix
• On some characterizations of the star partial ordering for matrices and rank subtractivity
• Infimum of a pair of matrices
• The natural partial order on a regular semigroup
• Natural structures on semigroups with involution

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