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

: Damm, T.; Stahl, D.


Linear algebra and its applications 439 (2013), No.4, pp.933-943
ISSN: 0024-3795
International Linear Algebra Society (Conference) <17, 2011, Braunschweig>
Journal Article, Conference Paper
Fraunhofer ITWM ()

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.