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On the Computation of the Moore—Penrose Inverse of Matrices with Symbolic Elements

  • Karsten Schmidt

Abstract

In this paper potential difficulties in using Greville's method for the computation of the Moore—Penrose inverse of a matrix that also contains symbolic elements are discussed. For the actual computation of the Moore—Penrose inverse of matrices whose elements are not numeric only, a Computer Algebra System has to be used. Initially, the computation of the Moore—Penrose inverse of a vector is considered which is a simple task if it only has numeric elements. If it contains symbolic elements, it might also be straightforward, but might turn out to be difficult. As Greville's method — an iterative algorithm that needs n steps for the computation of the Moore—Penrose inverse of an m by n matrix — requires the computation of the Moore—Penrose inverse of a vector in each step, the difficulty just mentioned might prevent the actual computation of the Moore—Penrose inverse of a matrix with symbolic elements.

Keywords

Iterative Algorithm Actual Computation Generalize Inverse Computer Algebra System Zero Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Physica-Verlag Heidelberg 2009

Authors and Affiliations

  1. 1.Fakultält WirtschaftswissenschaftenFachhochschule SchmalkaldenGermany

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