## Title data

Damm, Tobias ; Stahl, Dominik:

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

*In:* Linear Algebra and its Applications.
Vol. 439
(2013)
Issue 4
.
- pp. 933-943.

ISSN 0024-3795

DOI: https://doi.org/10.1016/j.laa.2012.08.015

Review: |

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## Abstract in another language

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.