Spectral numerical-analytical methods in dynamical systems analysis and generalised Newton--Kantorovich--Mikhailov method
Matematičeskoe modelirovanie, Tome 21 (2009) no. 8, pp. 87-99.

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A spectral numerical-analytical method of solving linear systems of differential-algebraic equations of order $m$ is considered. The problems of realisation of spectral numerical-analytical method of solving non-linear differential-algebraic equations (generalised Newton–Kantorovich–Mikhaylov method).
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V. N. Gridin; V. B. Mikhaylov. Spectral numerical-analytical methods in dynamical systems analysis and generalised Newton--Kantorovich--Mikhailov method. Matematičeskoe modelirovanie, Tome 21 (2009) no. 8, pp. 87-99. http://geodesic.mathdoc.fr/item/MM_2009_21_8_a7/

[1] Uilkinson Dzh. Kh., Algebraicheskaya problema sobstvennykh znachenii, Nauka, M., 1970, 564 pp.

[2] Mikhailov V. B., Chislenno-analiticheskie metody resheniya sverkhzhestkikh differentsialno-algebraicheskikh sistem uravnenii, Nauka, SPb., 2005, 235 pp. | MR | Zbl

[3] Kronsj L., Algorithm: their complexity and efficiency, Sec. edit., John Wiley Sons, Chichester ets., 1987, 363 pp. | MR | Zbl

[4] Gantmakher F. R., Teoriya matrits, Nauka, M., 1988, 552 pp. | MR | Zbl

[5] Gridin V. N., Mikhailov V. B., Mikhailov K. V., Khraponov A. N., “Polinomialnye matritsy i ikh primenenie k resheniyu differentsialno-algebraicheskikh sistem uravnenii $m$-go poryadka dlya tekhnicheskikh prilozhenii”, Informatsionnye tekhnologii v proektirovanii i proizvodstve, 4, VIMI, 2001, 27–33

[6] Lankaster P., Teoriya matrits, Per. s angl., Nauka, M., 1982, 269 pp. | MR

[7] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz, Nauka, M., 1984, 752 pp. | MR | Zbl

[8] Gridin V. N., Mikhailov V. B., Shusterman L. B., Chislenno-analiticheskoe modelirovanie radioelektronnykh skhem, Nauka, M., 2008, 339 pp.