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Title

Symbolic computation of A (2) T,S-inverses using QDR factorization
Authors

Predrag S. Stanimirovic
Organization: University of Nis
Department: Department of Mathematics, Faculty of Science
Dimitrios Pappas
Vasilios N. Katsikis
Ivan P Stanimirovic
Journal / Anthology

Linear Algebra and its Applications
Year: 2012
Volume: 437
Page range: 1317-1331
Description

Efficient evaluation of the full-rank QDR decomposition is established. A method and algorithm for efficient symbolic computation of A (2) T,S inverses of a given rational matrix A is defined using the full-rank QDR decomposition of an appropriate rational matrix W. The algorithm is implemented using Mathematicaís ability to deal with symbolic expressions as well as with numbers. Examples including polynomial and rational matrices are presented. Some comparisons with well-known methods for symbolic evaluation of generalized inverses are obtained
Subject

*Unclassified
Keywords

Generalized inverse A, (2), T, S, QDR factorization, Full-rank representation, Rational matrices