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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.

MSC:
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
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