论文信息 - On Steffensen's method on Banach spaces

On Steffensen's method on Banach spaces

We present a modification of Steffensen's method as a predictor-corrector iterative method, so that we can use Steffensen's method to approximate a solution of a nonlinear equation in Banach spaces from the same starting points from which Newton's method converges. We study the semilocal convergence of the predictor-corrector method by using the majorant principle. We illustrate the method with an application to a discrete problem.

Miguel Ángel Hernández | José Antonio Ezquerro | Natalia Romero Álvarez | A. I. Velasco

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