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From linear to nonlinear iterative schemes
by
Michael N. Vrahatis
Department of Mathematics, University of Patras, GR-26110 Patras, Greece.
The present work constitutes an effort towards the generalization of the most common classical iterative schemes used for the solution of linear systems (like Jacobi, Gauss-Seidel, SOR, etc.) to the solution of systems of nonlinear algebraic and/or transcendental equations as well as to unconstrained optimization of nonlinear functions. Convergence and experimental results are presented. The proposed algorithms have also been implemented and tested on real-life artificial neural network applications and the results to date appear to be very promising.
Date received: March 14, 2001
Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cagm-26.