Title :
Some Modified Newton-Type Methods with Order of Convergence Varied from Two to Six under Weak Conditions
Author :
Fang, Liang ; He, Guoping ; Hu, Yunhong ; Sun, Li
Author_Institution :
Coll. of Math. & Syst. Sci., Taishan Univ., Tai´´an, China
Abstract :
We present some modified Newton-type methods for solving nonlinear equations. These algorithms are free from second derivatives and permit f´(x) = 0 in some iteration points. The convergent analysis demonstrates that the order of convergence and the efficiency index of the present methods are better than that of the classical Newton´s method. Some numerical examples are given to illustrate their efficiency and performance.
Keywords :
Newton method; convergence of numerical methods; nonlinear differential equations; convergence analysis; iteration point; modified Newton-type method; nonlinear differential equation; second derivative; Convergence; Educational institutions; Helium; Information science; Iterative methods; Mathematics; Newton method; Nonlinear equations; Optimization methods; Sun; Newton´s method; Nonlinear equations; iterative method; order of convergence;
Conference_Titel :
Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-0-7695-3605-7
DOI :
10.1109/CSO.2009.284
