Nonnegative Moore--Penrose inverses of operators over Hilbert spaces

DOI10.1007/s11117-007-2173-8zbMath1169.47003OpenAlexW2071238838MaRDI QIDQ941703

T. Kurmayya, K. C. Sivakumar

Publication date: 2 September 2008

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-007-2173-8

zbMATH Keywords

Moore-Penrose inverseHilbert latticepositive splitting

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (5)

Generalizations of matrix monotonicity and their relationships with certain subclasses of proper splittings ⋮ Nonnegative generalized inverses and least elements of polyhedral sets ⋮ Nonnegative Generalized Inverses and Interval Linear Programs ⋮ A new characterization of nonnegativity of Moore-Penrose inverses of Gram operators ⋮ On positive invertibility of operators and their decompositions

Cites Work

• A new characterization of inverse-positive matrices
• Nonnegative Moore--Penrose inverses of Gram operators
• Direct iterative methods for least-squares solutions to singular operator equations
• Generalized inverses. Theory and applications.
• On the Positiveness of the Inverse Operator
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