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A quasi-Newton method for solving fixed point problems in Hilbert spaces
Authors:Igor Moret  Pierpaolo Omari
Institution:(1) Dipartimento di Scienze Matematiche, Università di Trieste, Piazzale Europa 1, I-34127 Trieste, Italy
Abstract:Summary We study the convergence properties of a projective variant of Newton's method for the approximation of fixed points of completely continuous operators in Hilbert spaces. We then discuss applications to nonlinear integral equations and we produce some numerical examples.
Keywords:AMS(MOS): 65J15  65R20  45G10  CR: G1  6
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