On Newton's method under mild differentiability conditions
Author
Source
The Arabian Journal for Science and Engineering
Issue
Vol. 15, Issue 2A (30 Apr. 1990), pp.233-239, 7 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
1990-04-30
Country of Publication
Saudi Arabia
No. of Pages
7
Main Subjects
Topics
Abstract AR
يقدم هذا البحث شروط تقارب طريقة معاودة نيوتن لحل معادلة مؤثر غير خطية في فراغ (بناخ).
و الافتراض الوحيد في البحث هو أن مشقات (فريشيه) للمؤثر غير الخطي تحقق اتصال (هولدر).
كما و يحتوي البحث على بعض أمثلة حيث أن الفرضية العادية لطريقة نيوتن لا تتحقق.
و لكن الفرضية المقترحة يمكن تحقيقها.
Abstract EN
We provide sufficient conditions for the convergence of Newton's iteration to a solution of nonlinear operator equation in Banach space.
We assume only that the Frechet-derivative of the nonlinear operator is Holder continuous.
Some examples are provided where the usual hypotheses for the application of Newton's method are not satisfied but ours are.
American Psychological Association (APA)
Argyros, Ioannis K.. 1990. On Newton's method under mild differentiability conditions. The Arabian Journal for Science and Engineering،Vol. 15, no. 2A, pp.233-239.
https://search.emarefa.net/detail/BIM-395683
Modern Language Association (MLA)
Argyros, Ioannis K.. On Newton's method under mild differentiability conditions. The Arabian Journal for Science and Engineering Vol. 15, no. 2A (Apr. 1990), pp.233-239.
https://search.emarefa.net/detail/BIM-395683
American Medical Association (AMA)
Argyros, Ioannis K.. On Newton's method under mild differentiability conditions. The Arabian Journal for Science and Engineering. 1990. Vol. 15, no. 2A, pp.233-239.
https://search.emarefa.net/detail/BIM-395683
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 239
Record ID
BIM-395683
