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Computation of the generalized inverse of a polynomial matrix and applications. (English) Zbl 0869.65028
A two-dimensional recursive algorithm for the computation of the generalized inverse of a polynomial matrix in terms of the coefficient matrices is given. Three applications of the generalized inverse are given: (a) The computation of the right (left) inverse of a rational matrix, (b) autoregressive representation, and (c) the solution in a specific feedback compensation problem. Illustrative examples are given. The paper concludes with methods for the Laurent expansion of the generalized inverse.

65F20 Numerical solutions to overdetermined systems, pseudoinverses
15A09 Theory of matrix inversion and generalized inverses
15A54 Matrices over function rings in one or more variables
Full Text: DOI
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