For an equation f (x) = 0 having a multiple root of multiplicity m > 1 unknown, we propose a transformation which converts the multiple root to a simple root of H (x) = 0. The transformed function H (x) of f (x) with a small > 0 has appropriate properties in applying a derivative free iterative meth
Fifth-order iterative method for finding multiple roots of nonlinear equations
β Scribed by Xiaowu Li; Chunlai Mu; Jinwen Ma; Linke Hou
- Publisher
- Springer US
- Year
- 2010
- Tongue
- English
- Weight
- 258 KB
- Volume
- 57
- Category
- Article
- ISSN
- 1017-1398
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π SIMILAR VOLUMES
a b s t r a c t Two accelerating generators that produce iterative root-finding methods of arbitrary order of convergence are presented. Primary attention is paid to algorithms for finding multiple roots of nonlinear functions and, in particular, of algebraic polynomials. First, two classes of algor
Conventional numerical methods for finding multiple roots of polynomials are inaccurate. The accuracy is unsatisfactory because the derivatives of the polynomial in the intermediate steps of the associated root-finding procedures are eliminated. Engineering applications require that this problem be