The Method Of Successive Orthogonal Projections For Solving Nonlinear Simultaneous Equations

In this paper we analyze a generalization of the method of Successive Orthogonal Projections (S.O.P.) for solving nonlinear simultaneous equations. We prove a local linear convergence theorem under mild assumptions on the Jacobian of the system. A globally convergent S.O.P. type method is also introduced. We comment some numerical experiences. © 1986 Instituto di Elaborazione della Informazione del CNR.2329310