한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)
- 제15권2호
- /
- Pages.111-120
- /
- 2008
- /
- 1226-0657(pISSN)
- /
- 2287-6081(eISSN)
ON THE CONVERGENCE OF NEWTON'S METHOD AND LOCALLY $H{\ddot{O}}LDERIAN$ OPERATORS
초록
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.
키워드