On the convergence of Broyden-like methods for nonlinear equations with nondifferentiable terms |
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Authors: | X Chen |
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Institution: | (1) Department of Mathematies, Xian Jiaotong University, Xl'an, Shaanxi, China;(2) Present address: Department of Mathematies, Faculty of Science, Ehime University, 790 Matsuyama, Japan |
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Abstract: | In this paper, the author studies a Broyden-like method for solving nonlinear equations with nondifferentiable terms, which uses as updating matrices, approximations for Jacobian matrices of differentiable terms. Local and semilocal convergence theorems are proved. The results generalize those of Broyden, Dennis and Moré. |
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Keywords: | Convergence theorems Broyden-like methods nonlinear equations nondifferentiable terms |
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