Computer algebra procedures for separating the roots of algebraic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 10, pp. 1603-1619 Cet article a éte moissonné depuis la source Math-Net.Ru

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N. V. Savel'eva. Computer algebra procedures for separating the roots of algebraic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 10, pp. 1603-1619. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_10_a0/

[1] Krein M. G., Naimark M. A., “The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations”, Linear and Multilinear Algebra, 10 (1981), 265–308 | DOI | MR | Zbl

[2] Ikramov Kh. D., Saveleva H. B., “Kompyuterno-algebraicheskie protsedury dlya proverki matrichnogo svoistva znakoopredelennosti na podprostranstve”, Zh. vychisl. matem. i matem. fiz., 39:3 (1999), 357–370 | MR

[3] Ikramov Kh. D., Saveleva N. V., Chugunov V. N., “O ratsionalnykh kriteriyakh suschestvovaniya obschikh sobstvennykh vektorov ili invariantnykh podprostranstv”, Programmirovanie, 1997, no. 3, 43–57 | MR | Zbl

[4] Schur I., “Über Potenzreihen, die im Innern des Einheitskreises beschränkt sind”, J. reine and angew. Math., 148 (1918), 122–145 | DOI | Zbl

[5] Tyrtyshnikov E. E., Teplitsevy matritsy, nekotorye ikh analogi i prilozheniya, AN SSSR. Otd. vychisl. matem., M., 1989 | MR | Zbl