Linear least squares problems with additional constraints and an application to scattered data approximation

Titelangaben

Damm, Tobias ; Stahl, Dominik:
Linear least squares problems with additional constraints and an application to scattered data approximation.
In: Linear Algebra and its Applications. Bd. 439 (2013) Heft 4 . - S. 933-943.
ISSN 0024-3795
DOI: https://doi.org/10.1016/j.laa.2012.08.015

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Abstract

We construct generalized inverses to solve least squares problems with partially prescribed kernel and image spaces. To this end we parameterize a special subset of all (1,3)-generalized inverses, and analyze their properties. Furthermore, we discuss an application to scattered data approximation where certain (1,3)-generalized inverses are more adequate than the Moore–Penrose inverse.