We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
MODIFIED NEWTON'S METHODS OF CUBIC CONVERGENCE FOR MULTIPLE ROOTS.
- Authors
Siyul Lee; Young-Hee Kim
- Abstract
From Newton's method of solving nonlinear equations numerically, various modifications concerning accelerated order, or multiple roots had been actively developed. In this paper, we focus on those concerning multiple roots. Based on existing modifications for simple roots, new methods for multiple roots, which do not require knowledge on multiplicity of the desired root to find, are derived. They are proved to be of third order, and numerical experiments show their quality, one of them competitive and the other superior to existing methods of same order.
- Subjects
NEWTON-Raphson method; STOCHASTIC convergence; ROOTS of equations; NUMERICAL solutions for nonlinear theories; THEORY of knowledge; NUMERICAL analysis
- Publication
Journal of Computational Analysis & Applications, 2012, Vol 14, Issue 3, p516
- ISSN
1521-1398
- Publication type
Article