applied mathematical sciences vol 4 2010 no 69 3403 3412 an ecient solver for systems of nonlinear equations with singular jacobian via diagonal updating m y waziri w j leong ...
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...Applied mathematical sciences vol no an ecient solver for systems of nonlinear equations with singular jacobian via diagonal updating m y waziri w j leong a hassan and monsi department mathematics faculty science universiti putra malaysia serdang math upm edu my abstract it is well known that the quadratic rate convergence newton methodforsolvingnonlinear depends on when nonsingular in neighborhood solution disobeying this con dition i e to be too slow may even lost paper we report design implementation at our approach based approximation inverse into matrix without computing proposed algorithm simple straightforward implement several numerical experiments which shows method very subject classication h k keywords nonlinearequations diagonallyupdating non introduction let us consider problem nding f x where rn n assuming mapping has following classical assumptions continuously dierentiable open there exists lipschitz continuous prominent generates iterative sequence according steps cnm ...