کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9511489 1342092 2005 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New iterative schemes for nonlinear fixed point problems, with applications to problems with bifurcations and incomplete-data problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
New iterative schemes for nonlinear fixed point problems, with applications to problems with bifurcations and incomplete-data problems
چکیده انگلیسی
In this paper, we propose a new method which could be considered as a modification of the Δk-method introduced for solving nonlinear fixed point problems. At each iteration of the new scheme, we evaluate the Δk steplength once and we use it twice. Various numerical results illustrate the efficiency of the new scheme. They concern the solution of a reaction-diffusion problem which exhibits a bifurcation. An additional example, involving a mixture of Poisson distributions, will be given and suggest that the new scheme could be adapted with success for an important statistical problem called the expectation-maximization problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 55, Issue 2, October 2005, Pages 215-226
نویسندگان
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