Inverse multivariate polynomial root-finding: Numerical implementations of the affine and projective Buchberger–Möller algorithm

Author:

Batselier Kim,Wong Ngai

Funder

Hong Kong Research Grants Council

University Research Committee of The University of Hong Kong

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference32 articles.

1. W. Auzinger, H.J. Stetter, An elimination algorithm for the computation of all zeros of a system of multivariate polynomial equations, in: Int. Conf. on Numerical Mathematics, Singapore, 1988, pp. 11–30.

2. Multivariate polynomial equations with multiple zeros solved by matrix eigenproblems;Moller;Numer. Math.,1995

3. H.J. Stetter, Numerical Polynomial Algebra, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 2004.

4. The canonical decomposition of Cdn and numerical Gröbner and border bases;Batselier;SIAM J. Matrix Anal. Appl.,2014

5. The construction of multivariate polynomials with preassigned zeros;Möller,1982

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