论文信息 - A semilocal convergence result for Newton's method under generalized conditions of Kantorovich

A semilocal convergence result for Newton's method under generalized conditions of Kantorovich

Abstract From Kantorovich’s theory we establish a general semilocal convergence result for Newton’s method based fundamentally on a generalization required to the second derivative of the operator involved. As a consequence, we obtain a modification of the domain of starting points for Newton’s method and improve the a priori error estimates. Finally, we illustrate our study with an application to a special case of conservative problems.

Miguel Ángel Hernández | José Antonio Ezquerro | Daniel González

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