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线性方程组雅可比迭代

于 2022-10-21 发布 文件大小:50.72 kB
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应用背景在科学计算与工程技术等很多领域,比如计算流体力学,航空航天工程研究领域的飞船飞行轨道的计算,电路优化设计以及矿藏数值模拟等很多重要的实际问题中。通常采用有限元法,或者有限差分法来离散原微分方程,最终转化为线性方程组的求解问题。关键技术迭代法:用某种极限过程去逼近线性方程组精确解的方法。迭代法具有存储单元较少,程序设计简单,原始系数矩阵在计算中始终不变等优点,但存在收敛性与收敛速度的问题。迭代法根据具体的实现过程的不同又分为两大类:迭代法主要分为两类:一类是以矩阵分裂为基础的定常迭代法,另一类称为非定常迭代法。

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