|
|
|
|
Seventh-order iterative algorithm free from second derivative for solving algebraic nonlinear equations
|
|
|
|
|
|
|
|
نویسنده
|
Fardi M ,Ghasemi M ,Kazemi E ,Ezzati R
|
|
منبع
|
international journal of industrial mathematics - 2013 - دوره : 5 - شماره : 1 - صفحه:25 -29
|
|
چکیده
|
In this paper, we introduce an iterative algorithm free from second derivative for solving algebraic nonlinearequations. the analysis of convergence shows that this iterative algorithm has seventh-order convergence.per iteration of the new algorithm requires three evaluations of the function and two evaluation of its rstderivative. therefore this algorithm has the eciency index which equals to 1.477. the results obtained usingthe algorithm presented here show that the iterative algorithm is very e ective and convenient for the algebraicnonlinear equations.
|
|
کلیدواژه
|
Homotopy analysis method ,Iterative algorithm ,Nonlinear equation.
|
|
آدرس
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|