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Type: Artigo de periódico
Title: A Parallel Projection Method For Overdetermined Nonlinear Systems Of Equations
Author: Diniz-Ehrhardt M.A.
Mario Martinez J.
Abstract: We consider overdetermined nonlinear systems of equations F(x)=0, where F: ℝ n → ℝ m, m≥n. For this type of systems we define "weighted least square distance" (WLSD) solutions, which represent an alternative to classical least squares solutions and to other solutions based on residual normas. We introduce a generalization of the classical method of Cimmino for linear systems and we prove local convergence results. We introduce a practical strategy for improving the global convergence properties of the method. Finally, numerical experiments are presented. © 1993 J.C. Baltzer AG Science Publishers.
Editor: Baltzer Science Publishers, Baarn/Kluwer Academic Publishers
Rights: fechado
Identifier DOI: 10.1007/BF02144106
Date Issue: 1993
Appears in Collections:Unicamp - Artigos e Outros Documentos

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