LOCAL CONVERGENCE RESULTS FOR NEWTON S METHOD

• 발행기관: 충청수학회
• 저자명: Ioannis K. Argyros SAID Hilout
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 25, No. 2, 267~275쪽, 전체 9쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2012.05.30

영문 초록

We present new results for the local convergence of Newton s method to a unique solution of an equation in a Banach space setting. Under a °exible gamma{type condition [12], [13], we extend the applicability of Newton s method by enlarging the radius and decreasing the ratio of convergence. The results can compare favorably to other ones using Newton{Kantorovich and Lipschitz conditions [3]{[7], [9]{[13]. Numerical examples are also provided

목차

1. Introduction

2. Local convergence analysis of Newton s method (1.2)