کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4620826 1339472 2008 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence criterion of Newton's method for singular systems with constant rank derivatives
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Convergence criterion of Newton's method for singular systems with constant rank derivatives
چکیده انگلیسی

The present paper is concerned with the convergence problem of Newton's method to solve singular systems of equations with constant rank derivatives. Under the hypothesis that the derivatives satisfy a type of weak Lipschitz condition, a convergence criterion based on the information around the initial point is established for Newton's method for singular systems of equations with constant rank derivatives. Applications to two special and important cases: the classical Lipschitz condition and the Smale's assumption, are provided; the latter, in particular, extends and improves the corresponding result due to Dedieu and Kim in [J.P. Dedieu, M. Kim, Newton's method for analytic systems of equations with constant rank derivatives, J. Complexity 18 (2002) 187–209].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 345, Issue 2, 15 September 2008, Pages 689-701