汤兴华, 黄红伟, 马乐荣. 解线性方程组的子空间直交基裂分法[J]. 云南大学学报(自然科学版), 2003, 25(4): 299-302.
引用本文: 汤兴华, 黄红伟, 马乐荣. 解线性方程组的子空间直交基裂分法[J]. 云南大学学报(自然科学版), 2003, 25(4): 299-302.
shu
TANG Xin-hua, HUANG Hong-wei, MA Le-rong. Solution of linear equation system based on splitting orthogonal basis in subspace[J]. Journal of Yunnan University: Natural Sciences Edition, 2003, 25(4): 299-302.
Citation: TANG Xin-hua, HUANG Hong-wei, MA Le-rong. Solution of linear equation system based on splitting orthogonal basis in subspace[J]. Journal of Yunnan University: Natural Sciences Edition, 2003, 25(4): 299-302.
shu

解线性方程组的子空间直交基裂分法

Solution of linear equation system based on splitting orthogonal basis in subspace

    摘要
  • 摘要: 提出了一种解线性方程组的新方法,目的在于降低方程组的阶数进行计算,比Schur算法在计算量方面大为减少,特别对阶数越高稀疏性越强的方程组计算量的减少越为显著,并且该方法的算法比较简单,是一个有效的算法,在实用和理论上都有一定意义;最后在计算机上举数值例子与Schur方法进行比较.

     

    Abstract: A new method for solving linear equation system is proposed,and the aim is to decline the order of equation system to solve.The working capacity of the solution is greatly less than the Schur algorithm.Especially with the increasing of order and the openness,the reducing of working capacity is very predominant;in addition,the algorithm is very simple and efficient.It has an effect in application and theory.Finally an instance is given to compare with the Schur algorithm by computer.

     

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