Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ONE NEW TYPE OF INTERLEAVED ITERATIVE ALGORITHM FOR H-MATRICES

  • Tuo, Qing (Department of Mathematics, Xiangtan University, Department of Mathematics and Computer Science, Jishou University) ;
  • Liu, Jianzhou (Department of Mathematics and Computer Science, Jishou University)
  • Published : 2009.01.31
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Abstract

In the theory and the applications of Numerical Linear Algebra, the class of H-matrices is very important. In recent years, many appeared works have proposed iterative criterion for H-matrices. In this paper, we provide a new type of interleaved iterative algorithm, which is always convergent in finite steps for H-matrices and needs fewer iterations than those proposed in the related works, and a corresponding algorithm for general matrix, which eliminates the redundant computations when the given matrix is not an H-matrix. Finally, several numerical examples are presented to show the effectiveness of the proposed algorithms.

Keywords

References

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