Factorization of the Partly Non-rational Matrix of Arbitrary Order

Author:

Rogosin S. V.,Primachuk L. P.,Dubatovskaya M. V.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference24 articles.

1. V. M. Adukov, ‘‘Wiener–Hopf factorization of meromorphic matrix-functions,’’ SPb. Math. J. 4, 51–69 (1993).

2. V. M. Adukov, N. V. Adukova, and G. Mishuris, ‘‘An explicit Wiener–Hopf factorization algorithm for matrix polynomials and its exact realizations within ExactMPF package,’’ Proc. R. Soc. A 478, 20210941 (2022).

3. V. M. Adukov, G. Mishuris, and S. V. Rogosin, ‘‘Exact conditions for preservation of the partial indices of a perturbed triangular $$2\times 2$$ matrix function,’’ Proc. R. Soc. A 476 (2237), 20200099 (2020).

4. B. Bojarski, ‘‘Stability of the Hilbert problem for a holomorphic vector,’’ Bull. Georgian Acad. Sci. 21, 391–398 (1958).

5. G. N. Chebotarev, ‘‘Partial indices of the Riemann boundary value problem with a triangular matrix of the second order,’’ Usp. Mat. Nauk 11, 192–202 (1956).

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