A Novel Iterative Method for Nonlinear Equations

Based on the idea that the iterative error function can be applied to extrapolation to zero for SAM, a novel acceleration iterative scheme is obtained by using the quadratic interpolation error function. Furthermore, the new scheme is extended to the vector case and nonlinear equations, and the conv...

Full description

Saved in:
Bibliographic Details
Published inIAENG international journal of applied mathematics Vol. 48; no. 4; p. 444
Main Authors Liu, Guanghui, Nie, Cunyun, Lei, Jie
Format Journal Article
LanguageEnglish
Published Hong Kong International Association of Engineers 07.11.2018
Subjects
Error functions
Interpolation
Iterative methods
Mathematical analysis
Nonlinear equations
Online AccessGet full text

Cover

More Information
Summary:Based on the idea that the iterative error function can be applied to extrapolation to zero for SAM, a novel acceleration iterative scheme is obtained by using the quadratic interpolation error function. Furthermore, the new scheme is extended to the vector case and nonlinear equations, and the convergence order of the method proposed is always greater than or equal to two. Numerical results confirm the validity of the theoretical results.
ISSN:1992-9978
1992-9986