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The computation and application of the generalized inverse via Maple. (English) Zbl 0894.68088
Summary: In N. P. Karampetakis [Linear Algebr. Appl. 252, 35-60 (1997; Zbl 0869.65028)] an algorithm for computing the generalized inverse of a singular polynomial matrix \(A(s)\in \mathbb{R}[s]^{n\times m}\) has been presented. In this paper, the algorithm is extended to that of the singular rational matrix, \(A(s)\in\mathbb{R}(s)^{n\times m}\), and the algorithm is subsequently implemented in the symbolic computational package Maple. Several applications of its use are given.

68W30 Symbolic computation and algebraic computation
65F20 Numerical solutions to overdetermined systems, pseudoinverses
15A09 Theory of matrix inversion and generalized inverses
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