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Filtering by: Creator Filichkin, Sergei A. Creator Aalto, Sergei Kalvin Resource Type Dissertation

An iterative procedure for the solution of nonlinear equations in a Banach space

Creator:

Aalto, Sergei Kalvin

Abstract:

In 1964, Zarantonello published a constructive method for the solution of certain nonlinear problems in a Hilbert space. We extend the method in various directions including a generalization to a Banach space setting. A revealing geometric interpretation of the method yields guidelines for the analysis.

Resource Type:

Dissertation