Computation of the generalized inverse of a polynomial matrix and applications (Q676011)
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scientific article; zbMATH DE number 991114
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computation of the generalized inverse of a polynomial matrix and applications |
scientific article; zbMATH DE number 991114 |
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Computation of the generalized inverse of a polynomial matrix and applications (English)
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1 September 1997
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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.
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recursive algorithm
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generalized inverse
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polynomial matrix
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rational matrix
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autoregressive representation
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feedback compensation problem
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Laurent expansion
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