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
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
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چکیده انگلیسی
In this paper, we propose a new method which could be considered as a modification of the Îk-method introduced for solving nonlinear fixed point problems. At each iteration of the new scheme, we evaluate the Îk 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
Journal: Applied Numerical Mathematics - Volume 55, Issue 2, October 2005, Pages 215-226
نویسندگان
Ch. Roland, R. Varadhan,