A new characterization of nonnegativity of Moore-Penrose inverses of Gram operators

DOI10.1007/s11117-008-2167-1zbMath1161.15004OpenAlexW2087472475MaRDI QIDQ1007088

K. C. Sivakumar

Publication date: 27 March 2009

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-008-2167-1

zbMATH Keywords

Hilbert spacesGram matricesobtuse conesGram operatoracute conesnonnegative Moore-Penrose inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (4)

A characterization of cone nonnegativity of Moore-Penrose inverses of unbounded Gram operators ⋮ Nonnegative generalized inverses and least elements of polyhedral sets ⋮ Moore-Penrose inverses of Gram matrices leaving a cone invariant in an indefinite inner product space ⋮ Nonnegative Generalized Inverses and Interval Linear Programs

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