Wolfram Library Archive

Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings

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

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

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 MATHEMATICA’s 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


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