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A residual method for solving nonlinear operator equations and their application to nonlinear integral equations using symbolic computation
Authors:William La Cruz
Affiliation:Departamento de Electrónica, Computación y Control, Facultad de Ingeniería, Universidad Central de Venezuela, Caracas 1051-DF, Venezuela
Abstract:A derivative-free residual method for solving nonlinear operator equations in real Hilbert spaces is discussed. This method uses in a systematic way the residual as search direction, but it does not use first order information. Furthermore a convergence analysis and numerical results of the new method applied to nonlinear integral equations using symbolic computation are presented.
Keywords:Residual method   Nonlinear operator equations   Nonlinear integral equations   Symbolic computation
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