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    罗钟铉

    • 教授     博士生导师   硕士生导师
    • 主要任职:党委常委、副校长
    • 性别:男
    • 毕业院校:大连理工大学
    • 学位:博士
    • 所在单位:软件学院、国际信息与软件学院
    • 学科:软件工程. 计算机应用技术
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    The direct-projection methods

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    论文类型:期刊论文

    第一作者:Luo, ZX

    通讯作者:Yuan, JY (reprint author), Univ Fed Parana, Ctr Politecn, Dept Matemat, CP 19-081, BR-81531990 Curitiba, Parana, Brazil.

    合写作者:Silva, BPB,Yuan, JY

    发表时间:2001-02-01

    发表刊物:INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

    收录刊物:SCIE

    卷号:76

    期号:4

    页面范围:517-535

    ISSN号:0020-7160

    关键字:direct-projection method; basic solutions; Gaussian elimination; least squares problem; preconditioner; singular system; rank determination; Markov chain

    摘要:In this paper, the direct-projection method given by Benzi and Meyer (1995) is derived by slightly different way - Basic Solutions of corresponding homogeneous system. The idea of the method differs from the idea of the Gaussian Elimination (or LU decomposition). The method works for every nonsingular coefficient matrix in the absence of rounding error. The Gaussian Elimination is explained by the method. The corresponding numerical algorithms of the method are also given, The method is applied to find the preconditioner for least squares problems and solvers of singular systems. The numerical experiments illustrate that the method has better numerical stability than the Gaussian Elimination.