Newton’s method in practice, II: The iterated refinement Newton method and near-optimal complexity for finding all roots of some polynomials of very large degrees
Author:
Publisher
Elsevier BV
Subject
Applied Mathematics,Computational Mathematics
Reference25 articles.
1. Solving secular and polynomial equations: a multiprecision algorithm;Bini;J. Comput. Appl. Math.,2014
2. The Weierstrass–Durand–Kerner root finder is not generally convergent;Reinke;Math. Comp.,2023
3. Diverging orbits for the Ehrlich–Aberth and the Weierstrass root finders;Reinke;Proc. Amer. Math. Soc.,2022
4. Univariate polynomials: nearly optimal algorithms for factorization and rootfinding;Pan;J. Symb. Comput.,2002
5. Computational complexity: on the geometry of polynomials and a theory of cost: II;Shub;SIAM J. Comput.,1986
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