کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4626406 | 1631786 | 2015 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure](/preview/png/4626406.png)
چکیده انگلیسی
In this paper, from Traub’s method and by applying weight function technique, a bi-parametric family of predictor–corrector iterative schemes with optimal fourth-order of convergence, for solving nonlinear equations, is presented. By using some algebraic manipulations and a divided difference operator, we extend this family to the multidimensional case, preserving its order of convergence. Some numerical test are made in order to confirm the theoretical results and to compare the new methods with other known ones.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 268, 1 October 2015, Pages 1064–1071
Journal: Applied Mathematics and Computation - Volume 268, 1 October 2015, Pages 1064–1071
نویسندگان
Santiago Artidiello, Alicia Cordero, Juan R. Torregrosa, Maria P. Vassileva,