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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.

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