ON THE CONVERGENCE OF NEWTON'S METHOD AND LOCALLY HÖLDERIAN INVERSES OF OPERATORS
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A semilocal convergence analysis is provided for Newton's method in a Banach space. The inverses of the operators involved are only locally HÖlderian. We make use of a point-based approximation and center-HÖlderian hypotheses for the inverses of the operators involved. Such an approach can be used to approximate solutions of equations involving nonsmooth operators.
Abstract
A semilocal convergence analysis is provided for Newton's method in a Banach space. The inverses of the operators involved are only locally HÖlderian. We make use of a point-based approximation and center-HÖlderian hypotheses for the inverses of the operators involved. Such an approach can be used to approximate solutions of equations involving nonsmooth operators.
참고문헌 (6)
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