A novel method to determine the finite and infinite frequency structure of a rational matrix (Q2729604)
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scientific article; zbMATH DE number 1623070
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A novel method to determine the finite and infinite frequency structure of a rational matrix |
scientific article; zbMATH DE number 1623070 |
Statements
A novel method to determine the finite and infinite frequency structure of a rational matrix (English)
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13 June 2002
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Smith form
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polynomial matrix
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Smith-McMillan form
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rational matrix
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rank of Toeplitz matrices
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The authors propose:NEWLINENEWLINENEWLINE(a) An algorithm to determine the Smith form of a polynomial matrix.NEWLINENEWLINENEWLINE(b) An algorithm to determine the Smith-McMillan form at infinity of a rational matrix.NEWLINENEWLINENEWLINE(c) An algorithm to determine the Smith-McMillan form of a rational matrix.NEWLINENEWLINENEWLINEThe algorithms are partly based on the determination of the rank of Toeplitz matrices.NEWLINENEWLINENEWLINEAccording to the authors, these new algorithms are numerically stable.NEWLINENEWLINENEWLINEAll algorithms (proofs of the correctness of the algorithms are provided as well) are illustrated by means of examples.
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