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Type: Artigo de periódico
Title: Parallel Projection Methods And The Resolution Of Ill-posed Problems
Author: Diniz-Ehrhardt M.A.
Martinez J.M.
Santos S.A.
Abstract: In this paper, we consider a modification of the parallel projection method for solving overdetermined nonlinear systems of equations introduced recently by Diniz-Ehrhardt and Martínez [1]. This method is based on the classical Cimmino's algorithm for solving linear systems. The components of the function are divided into small blocks, as an attempt to correct the intrinsic ill-conditioning of the system, and the new iteration is a convex combination of the projections onto the linear manifolds defined by different blocks. The modification suggested here was motivated by the application of the method to the resolution of a nonlinear Fredholm first kind integral equation. We prove convergence results and we report numerical experiments. © 1993.
Rights: fechado
Identifier DOI: 10.1016/0898-1221(94)90002-7
Date Issue: 1994
Appears in Collections:Unicamp - Artigos e Outros Documentos

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