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ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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ON THE CONVERGENCE OF NEWTON'S METHOD AND LOCALLY <TEX>$H{\ddot{O}}LDERIAN$</TEX> OPERATORS

ON THE CONVERGENCE OF NEWTON'S METHOD ANDLOCALLY H?OLDERIAN OPERATORS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2008, v.15 no.2, pp.111-120
Argyros, Ioannis K. (DEPARTMENT OF MATHEMATICAL SCIENCES, CAMERON UNIVERSITY)

Abstract

A semi local convergence analysis is provided for Newton's method in a Banach space setting. The operators involved are only locally Holderian. We make use of a point-based approximation and center-Holderian hypotheses. This approach can be used to approximate solutions of equations involving nonsmooth operators.

keywords
Newton's method, Banach space, locally <tex> $H{\ddot{o}}lderian$</tex> operators, point-based approximation, semilocal convergence, successive substitutions, fixed point

한국수학교육학회지시리즈B:순수및응용수학