科研之友
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摘要
In this paper, an Ulm-like method is proposed for solving nonlinear operator equations. This method has an advantage over other known methods since it avoids computing Jacobian matrices and solving Jacobian equations. Under some mild conditions, we prove that this Ulm-like method converges locally to the solution with R-convergence rate 2. Moreover, numerical tests are given in the last section demonstrating the effectiveness of this Ulm-like method.
