Computing the common zeros of two bivariate functions via Bézout resultants

Author:

Nakatsukasa Yuji,Noferini Vanni,Townsend Alex

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference53 articles.

1. Aruliah, D.A., Corless, R.M., Gonzalez-Vega, L., Shakoori, A.: Geometric applications of the Bezout matrix in the Lagrange basis. In: Proceedings of the 2007 International Workshop on Symbolic-Numeric Computation, pp. 55–64. ACM Press, New York (2007)

2. Asakura, J., Sakurai, T., Tadano, H., Ikegami, T., Kimura, K.: A numerical method for nonlinear eigenvalue problems using contour integrals. JSIAM Lett. 1, 52–55 (2009)

3. Atkinson, F.V.: Multiparameter Eigenvalue Problems. Academic Press, New York (1972)

4. Bai, Z., Demmel, J., Dongarra, J., Ruhe, A., van der Vorst, H.: Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide. SIAM, Philadelphia (2000)

5. Barnett, S.: Greatest common divisors from generalized sylvester resultant matrices. Linear Multilinear Algebra 8, 271–279 (1980)

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