李耀堂, 李继成, 刘庆兵. 关于Z-矩阵的一类新预条件迭代法[J]. 云南大学学报(自然科学版), 2002, 24(1): 5-8,13.
引用本文: 李耀堂, 李继成, 刘庆兵. 关于Z-矩阵的一类新预条件迭代法[J]. 云南大学学报(自然科学版), 2002, 24(1): 5-8,13.
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LI Yao-tang, LI Ji-cheng, LIU Qing-bing. A New Type of Preconditioned Iterative Methods for Z-matrices[J]. Journal of Yunnan University: Natural Sciences Edition, 2002, 24(1): 5-8,13.
Citation: LI Yao-tang, LI Ji-cheng, LIU Qing-bing. A New Type of Preconditioned Iterative Methods for Z-matrices[J]. Journal of Yunnan University: Natural Sciences Edition, 2002, 24(1): 5-8,13.
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关于Z-矩阵的一类新预条件迭代法

A New Type of Preconditioned Iterative Methods for Z-matrices

    摘要
  • 摘要: 给出了解线性方程组Ax=b的一类新的预条件迭代法,并证明了其收敛性.数值例子表明,所给方法比经典的Gauss-Seidel方法收敛速度快.

     

    Abstract: A new type of preconditioned iterative methods for solving a linear system Ax=b are presented,some of related convergent results are proved.Some numerical examples illustrate that the convergence rate of the new preconditioned method proposed is superior to the classical Gauss-Seidel iterative methods.

     

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