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
Finding multiple roots of nonlinear algebraic equations using s-system methodology
β Scribed by Michael A. Savageau
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 687 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0096-3003
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π SIMILAR VOLUMES
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
In this paper, the author presents a new method for iteratively finding a real solution of an arbitrary system of nonlinear algebraic equations, where the system can be overdetermined or underdetermined and its Jacobian matrix can be of any (positive) rank. When the number of equations is equal to t