Symbolic computation of weighted Moore-Penrose inverse using partitioning method

Details Symbolic computation of weighted Moore-Penrose inverse using partitioning method Symbolic computation of weighted Moore-Penrose inverse using partitioning method

2011-04-09

arxiv.org/abs/1104.1696v1

Applied Mathematics and Computation, Volume 189, Issue 1, 1 June 2007, Pages 615-640

Computer Science

Symbolic Computation

Scientific paper

10.1016/j.amc.2006.11.114

We propose a method and algorithm for computing the weighted Moore-Penrose inverse of one-variable rational matrices. Continuing this idea, we develop an algorithm for computing the weighted Moore-Penrose inverse of one-variable polynomial matrix. These methods and algorithms are generalizations of the method for computing the weighted Moore-Penrose inverse for constant matrices, originated in Wang and Chen [G.R. Wang, Y.L. Chen, A recursive algorithm for computing the weighted Moore-Penrose inverse AMN, J. Comput. Math. 4 (1986) 74-85], and the partitioning method for computing the Moore-Penrose inverse of rational and polynomial matrices introduced in Stanimirovic and Tasic [P.S. Stanimirovic, M.B. Tasic, Partitioning method for rational and polynomial matrices, Appl. Math. Comput. 155 (2004) 137-163]. Algorithms are implemented in the symbolic computational package MATHEMATICA.

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