Newton-like iteration method for solving algebraic equations

Communications in Nonlinear Science and Numerical Simulation

Volumn 3, Issue 2, 1998, Pages 106-109

  He, Jihuan ^a  

^a SHANGHAI UNIVERSITY   (China)

Author keywords

Newton like iteration method; Nonlinearity; Perturbation method

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES;

ALGEBRAIC EQUATIONS; HOMOTOPY PERTURBATION METHOD; NEWTON ITERATION FORMULA; NEWTON-LIKE ITERATION METHOD;

ITERATIVE METHODS;

MATHEMATICAL ANALYSIS;

EID: 0003196951     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1007-5704(98)90073-9     Document Type: Article

References (4)

1. Osada, N., An optimal multiple root-finding method of order three, J. Appl. Comput. Math., 1994. 51:131-133.
2. Petkovic, L., et al., On the construction of simultaneous methods for multiple zeros, Nonlinear Analysis, Theory, Methods & Applications, 1997, 30:669-676.
3. Liao, S. J., An approximate solution technique not depending on small parameters: a special example, Int. J. Non-Linear Mechanics, 1995, 30:371-380.
4. Liu, G. L., New Research Directions in Singular Perturbation Theory: Artificial Parameter Approach and Inverse-Perturbation Technique, Conf. of 7th Modern Mathematics and Mechanics, 1997, Shanghai, 47-53 (in Chinese).