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This paper proposes a multi-step iterative method for solving systems of nonlinear equations with a local convergence order of 3m−4, where m(≥2) is the number of steps. The multi-step iterative method includes two parts: the base method and the multi-step part. The base method involves two function evaluations, two Jacobian evaluations, one LU decomposition of a Jacobian, and two matrix–vector multiplications...
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