Minus partial order on regular matrices

DOI10.1080/03081087.2015.1067667zbMath1382.15005OpenAlexW1533231626MaRDI QIDQ2805677

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Publication date: 12 May 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1067667

zbMATH Keywords

generalized inverseregular matrixminus partial orderrank additivity

Mathematics Subject Classification ID

Partial orders, general (06A06) Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

• Shorted operators and rank decomposition matrices
• Generalized inverses of matrices over commutative rings
• On generalized inverses of matrices over integral domains
• The natural partial order on a regular semigroup

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