کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
474322 698863 2017 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
High-order nonlinear solver for multiple roots
ترجمه فارسی عنوان
مرتبه بالا حل غیر خطی برای ریشه ها
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی

A method of order four for finding multiple zeros of nonlinear functions is developed. The method is based on Jarratt’s fifth-order method (for simple roots) and it requires one evaluation of the function and three evaluations of the derivative. The informational efficiency of the method is the same as previously developed schemes of lower order. For the special case of double root, we found a family of fourth-order methods requiring one less derivative. Thus this family is more efficient than all others. All these methods require the knowledge of the multiplicity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 55, Issue 9, May 2008, Pages 2012–2017
نویسندگان
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