电路方程的Newton自适应迭代算法
首发时间:2011-12-26
摘要:本文采用了微分算子在小波基下的自适应稀疏表示特性, 针对大规模电路系统提出了非线性Newton自适应迭代算法, 并给出这一迭代格式的稳定性、收敛性分析. 本文中的改进算法加速了迭代法的收敛, 减少了计算量. 数值实验说明了这一改进算法的有效性, 合理性.
关键词: 小波配置法(WCM) Newton 迭代 自适应表示
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AN NEWTON ADAPTIVE ITERATIVE ALGORITHM FOR CIRCUIT EQUATION
Abstract:The wavelet adaptive representation for operator or function is introduced to develop Newton adaptive iterative method based on Wavelet Collocation Method(WCM). Correspondingly, the convergence and the stability of this new iterative form are analyzed theoretically. Compared with the original Newton iterative method, the proposed Newton adaptive method can reduce computational cost and storageexpense to accelerate convergence rate. Numerical experiments confirm the effectiveness of the modified Newton iterative algorithm.
Keywords: Wavelet collocation method Newton iterative Adaptivity representation
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