Newton-like methods for solving underdetermined nonlinear equations with nondifferentiable terms
Newton-like methods for solving underdetermined nonlinear equations with nondifferentiable terms
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DOI：
10.1016/0377-0427(94)90036-1
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发表时间：
1994-11
影响因子：
2.4
通讯作者：
Xiaojun Chen;Tetsuro Yamamoto
中科院分区：
文献类型：
--
作者：
Xiaojun Chen;Tetsuro Yamamoto
本文考虑解欠定非线性方程组的Newton类方法。在给出局部收敛性分析后，我们证明了一个半局部收敛定理以及广义解的唯一性。建立了牛顿弦法的另一个半局部收敛定理。最后给出了一个数值例子。
In this paper we consider Newton-like methods for solving underdetermined systems of nonlinear equations with nondifferentiable terms. After presenting local convergence analysis for the methods, we prove a semilocal convergence theorem as well as uniqueness of solution in a generalized sense. Another semilocal convergence theorem for the Newton-chord method is also established. Finally, a numerical example is given.