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首页> 外文期刊>Mathematical Problems in Engineering >Augmented Arnoldi-Tikhonov Regularization Methods for Solving Large-Scale Linear Ill-Posed Systems
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Augmented Arnoldi-Tikhonov Regularization Methods for Solving Large-Scale Linear Ill-Posed Systems

机译：求解大型线性不适定系统的增强型Arnoldi-Tikhonov正则化方法

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摘要

We propose an augmented Arnoldi-Tikhonov regularization method for the solution of large-scale linear ill-posed systems. This method augments the Krylov subspace by a user-supplied low-dimensional subspace, which contains a rough approximation of the desired solution. The augmentation is implemented by a modified Arnoldi process. Some useful results are also presented. Numerical experiments illustrate that the augmented method outperforms the corresponding method without augmentation on some real-world examples.
机译：我们提出了一种增强的Arnoldi-Tikhonov正则化方法来求解大规模线性不适定系统。该方法通过用户提供的低维子空间来扩充Krylov子空间，其中包含所需解决方案的粗略近似。通过改进的Arnoldi流程实现增强。还提供了一些有用的结果。数值实验表明，在某些实际示例中，增强方法在不进行增强的情况下优于相应方法。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第3期|548487.1-548487.8|共8页
  • 作者

    Yiqin Lin; Liang Bao; Yanhua Cao;

  • 作者单位

    Department of Mathematics and Computational Science, Hunan University of Science and Engineering, Yongzhou 425100, China;

    Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China;

    Department of Mathematics, North China Electric Power University, Beijing 102206, China;

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