An efficient linearization method for solving a system of nonlinear equations was developed, showing good stability and convergence properties. It uses an unconventional and simple strategy to improve the performance of classic methods by a full-rank update of the Jacobian approximates. It can be considered both as a discretized Newton’s method or as a quasi-Newton method with a full-rank update of the Jacobian approximates. Numerical examples are shown for demonstration purposes.
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Peter (2025). Modified secant method (https://ww2.mathworks.cn/matlabcentral/fileexchange/180286-modified-secant-method), MATLAB Central File Exchange. 检索时间: .
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