基于线性代数方程组迭代法的比较分析
首发时间:2009-09-03
摘要:本文比较分析已有的解线性方程组迭代方法的优点及缺点.重点讨论求解线性代数方程组的Jacob迭代法,Guss-seide迭代法和sor迭代法。对这几种迭代解法的矩阵表达式,算法分析和MATLAB编程实现进行比较分析,针对这3种解线性方程组的迭代方法通过举例分析与MATLAB实现及每迭代一次所需的计算量等个方面进行比较,并根据比较和分析作出总结.同时给出应用于求解数学模型的实例.
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MATLAB Realization of the Iterative Methods for System of Linear A lgebra Equations
Abstract:According the iterative methors of Jacob;Guass-seidel and SOR for solving system of linear algebra equations ,the matrix expressions ,algorithm analysis,and eealization of MATLAB programming of these methods were given .Examples of solving mathematic models were put forward
Keywords: System of Linear A lgebra Equations iterative methods mathematic models algorithm analysis MATLAB programming
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