Weighted Generalized Inverses, Oblique Projections, and Least-Squares Problems

DOI10.1080/01630560500323083zbMath1086.15003arXivmath/0509329OpenAlexW1965398715MaRDI QIDQ3368580

Alejandra L. Maestripieri, Gustavo Corach

Publication date: 31 January 2006

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509329

zbMATH Keywords

Hilbert spacespseudo-inverseleast squaresbounded linear operatorsMoore-Penrose inverseoblique projectionsminimal norm solutionweighted generalized inverses

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Equations involving linear operators, with operator unknowns (47A62) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (14)

Characterization of the oblique projector \(U(VU)^{\dagger}V\) with application to constrained least squares ⋮ \(A\)-partial isometries and generalized inverses ⋮ Matrix representations of multivalued projections and least squares problems ⋮ Moore-Penrose inverse and partial orders on Hilbert space operators ⋮ Unbounded symmetrizable idempotents ⋮ Oblique projections and sampling problems ⋮ Positive semi-definite matrices of adjointable operators on Hilbert \(C^{*}\)-modules ⋮ A geometrical approach to indefinite least squares problems ⋮ Partial isometries and pseudoinverses in semi-Hilbertian spaces ⋮ Methods for computing weighted pseudoinverses and weighted normal pseudosolutions with singular weights ⋮ Global solutions of approximation problems in Hilbert spaces ⋮ Shorted operators and minus order ⋮ WEIGHTED MOORE-PENROSE INVERSES OF ADJOINTABLE OPERATORS ON INDEFINITE INNER-PRODUCT SPACES ⋮ Weighted Moore-Penrose inverses of products and differences of weighted projections on indefinite inner-product spaces

Cites Work

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