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Convergence and comparison results for double splittings of Hermitian positive definite matrices

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Abstract

For single splittings of Hermitian positive definite matrices, there are well-known convergence and comparison theorems. This paper gives new convergence and comparison results for double splittings of Hermitian positive definite matrices.

Keywords: Hermitian positive definite matrix; convergence theorem; comparison theorem; double splitting

Mathematics Subject Classification (2000): 65F10

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Authors and Affiliations

  1. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, P. R. China

    Shu-Qian Shen, Ting-Zhu Huang & Jin-Liang Shao

Authors
  1. Shu-Qian Shen
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  2. Ting-Zhu Huang
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  3. Jin-Liang Shao
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Shen, SQ., Huang, TZ. & Shao, JL. Convergence and comparison results for double splittings of Hermitian positive definite matrices. Calcolo 44, 127–135 (2007). https://doi.org/10.1007/s10092-007-0132-1

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  • DOI: https://doi.org/10.1007/s10092-007-0132-1

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