A geometrical approach to indefinite least squares problems

DOI10.1007/s10440-009-9532-3zbMath1202.46090OpenAlexW1971473484MaRDI QIDQ982231

Juan Ignacio Giribet, Francisco Martínez Pería, Alejandra L. Maestripieri

Publication date: 6 July 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9532-3

zbMATH Keywords

selfadjoint operatorsleast squaresoblique projectionsweighted generalized inverses

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Least squares and related methods for stochastic control systems (93E24) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Linear operators on spaces with an indefinite metric (47B50)

Related Items

Indefinite least squares with a quadratic constraint ⋮ Matrix representations of multivalued projections and least squares problems ⋮ Linear pencils and quadratic programming problems with a quadratic constraint ⋮ Solving optimization problems on ranks and inertias of some constrained nonlinear matrix functions via an algebraic linearization method ⋮ Operator least squares problems and Moore-Penrose inverses in Krein spaces ⋮ Indefinite least-squares problems and pseudo-regularity ⋮ Regularization of an indefinite abstract interpolation problem with a quadratic constraint

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