SOME ITERATIVE ALGORITHMS WITH SUB-STEPS TO SOLVE SYSTEMS OF NON-LINEAR EQUATIONS
GREGORY ANTONI *
Aix-Marseille Universite, IFSTTAR, LBA UMR T24, F-13016 Marseille, France.
*Author to whom correspondence should be addressed.
Abstract
This paper deals with some iterative algorithms with sub-steps for solving the systems of non-linear equations. Jacobi and Gauss-Seidel procedures are combined with these algorithms for reducing the non-linear system to a succession of equations with only one variable. The proposed algorithms are tested, assessed and compared on some examples.
Keywords: Non-linear systems, newton-type algorithms, sub-steps iterative algorithms, gaussseidel's method, jacobi's method