On canonical factorization of rational matrix functions. (English) Zbl 0856.47012
Summary: This paper concerns the problem of canonical factorization of a rational matrix function \(W(\lambda)\) which is analytic but may be not invertible at infinity. The factors are obtained explicitly in terms of the realization of the original matrix function. The cases of symmetric factorization for selfadjoint and positive rational matrix functions are considered separately.
MSC:
| 47A56 | Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) |
| 47A68 | Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators |
| 93B28 | Operator-theoretic methods |
| 15A99 | Basic linear algebra |
References:
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