摘要：In this work, we suggest some variants of Broyden-like algorithm to solve systems of nonlinear equations using various combination of quadrature rules . The proposed methods are three-step in nature whereby the first step is the initial iterate of the Newton’s method and the remaining two steps are the predictor-corrector of Broyden method and quadrature rules. Numerical tests show that these methods give encouraging results with respect to some existing Broyden-like methods in view of Dolan and More performance profile and Bogle and Perkins comparison index.
关键词：Broyden-like method;quadrature formulas;predictor;corrector model;systems of nonlinear equations;numerical examples.
