A unified semilocal convergence analysis of a family of iterative algorithms for computing all zeros of a polynomial simultaneously
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/article/10.1007/s11075-016-0237-1/fulltext.html
Reference29 articles.
1. Aberth, O.: Iteration methods for finding all zeros of a polynomial simultaneously. Math. Comp. 27, 339–344 (1973)
2. Börsch-Supan, W.: Residuenabschätzung für Polynom-Nullstellen mittels Lagrange Interpolation. Numer. Math. 14, 287–296 (1970)
3. Carstensen, C.: On quadratic-like convergence of the means for two methods for simultaneous rootfinding of polynomials. BIT 33, 64–73 (1993)
4. Dochev, K., Byrnev, P.: Certain modifications of Newton’s method for the approximate solution of algebraic equations. USSR Comput. Math. Math. Phys. 4 (5), 174–182 (1964)
5. Ehrlich, L.: A modified Newton method for polynomials. Commun. ACM 10, 107–108 (1967)
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