摘要：Broyden-like methods (or hybrid Broyden methods) are one of the efficient modifications of the classical Broyden method proposed to solve nonlinear systems of equations and to overcome the deficiencies of the classical Newton method. In this work, a variant of the Broyden-like method is proposed using the weighted combination of the Trapezoidal, Simpson and Midpoint quadrature rules. Hence a new hybrid Broyden method known as TSMM has been created based on these rules. The numerical tests confirm that TSMM is promising when subjected to comparison with other Broyden-like methods.
