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To solving multiparameter problems of algebra. 10.
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XX, Tome 346 (2007), pp. 119-130 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper considers the problem of computing zeros of scalar polynomials in several variables. The zeros of a polynomial are subdivided into the regular (eigen- and mixed) zeros and the singular ones. An algorithm for computing regular zeros, based on a decomposition of a given polynomial into a product of primitive polynomials, is suggested. The algorithm is applied to solving systems of nonlinear algebraic equations. 
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V. N. Kublanovskaya. To solving multiparameter problems of algebra. 10.. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XX, Tome 346 (2007), pp. 119-130. http://geodesic.mathdoc.fr/item/ZNSL_2007_346_a8/

[1] B. L. Van-der Varden, Algebra, Nauka, M., 1976 | MR

[2] V. N. Kublanovskaya, V. B. Khazanov, “Otnositelnaya faktorizatsiya mnogochlenov ot neskolkikh peremennykh”, Zh. vychisl. matem. i matem. fiz., 36:8 (1996), 6–11 | MR | Zbl

[3] V. N. Kublanovskaya, “Nekotoryi podkhod k resheniyu mnogoparametricheskikh zadach”, Zap. nauchn. semin. POMI, 229, 1995, 191–246 | MR

[4] V. N. Kublanovskaya, “K resheniyu mnogoparametricheskikh zadach algebry. 2. Metod nepolnoi otnositelnoi faktorizatsii i ego primeneniya”, Zap. nauchn. semin. POMI, 296, 2003, 89–107 | MR | Zbl

[5] V. N. Kublanovskaya, “K resheniyu mnogoparametricheskikh zadach algebry. 5. Algoritm $\nabla V$-$q$ faktorizatsii i ego primeneniya”, Zap. nauchn. semin. POMI, 309, 2004, 144–153 | Zbl