Two-step secant type method with approximation of the inverse operator

The two-step secant type method with a consistent approximation of the inverse operator for solving nonlinear equations is proposed. The local convergence of the proposed method is studied and the quadratic convergence order is established. A numerical experiment is made on the test problems.

Bibliographic Details
Main Authors: Shakhno S.M., Yarmola H.P.
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2013-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/175/140
Description
Summary:The two-step secant type method with a consistent approximation of the inverse operator for solving nonlinear equations is proposed. The local convergence of the proposed method is studied and the quadratic convergence order is established. A numerical experiment is made on the test problems.
ISSN:2075-9827