A parallel projection method for overdetermined nonlinear systems of equations.

Autor: Diniz-Ehrhardt, Maria, Mario Martínez, José
Zdroj: Numerical Algorithms; 1993, Vol. 4 Issue 2, p241-262, 22p
Abstrakt: We consider overdetermined nonlinear systems of equations F(x)=0, where F: ℝ → ℝ, 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index