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A problem in computation of pseudoinverses

Predrag S. Stanimirovic
Organization: University of Nis
Department: Department of Mathematics, Faculty of Science
Milan B. Tasic
Department: Department of Mathematics, Faculty of Science
Journal / Anthology

Applied Mathematics and Computation
Year: 2003
Volume: 135
Page range: 443-469

In this paper we describe implementation of three methods for computing generalized inverses in the programming packages Mathematica and DELPHI. Greviles method, the limit representation and the determinantal representation of generalized inverses are considered. A major problem arising in the implementation of these methods is very rapid increment of arithmetic operations. We describe a few different algorithms to avoid this common problem.

*Mathematics > Algebra > Linear Algebra

Pseudoinverse, Mathematica, DELPHI, Limit representation, Partitioning method, Determinantal representation