Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2013, Special Issue (2013), Article ID 827826, 4 pages.

Comparison Theorems for Single and Double Splittings of Matrices

Cui-Xia Li, Qun-Fa Cui, and Shi-Liang Wu

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Some comparison theorems for the spectral radius of double splittings of different matrices under suitable conditions are presented, which are superior to the corresponding results in the recent paper by Miao and Zheng (2009). Some comparison theorems between the spectral radius of single and double splittings of matrices are established and are applied to the Jacobi and Gauss-Seidel double SOR method.

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J. Appl. Math., Volume 2013, Special Issue (2013), Article ID 827826, 4 pages.

First available in Project Euclid: 14 March 2014

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Li, Cui-Xia; Cui, Qun-Fa; Wu, Shi-Liang. Comparison Theorems for Single and Double Splittings of Matrices. J. Appl. Math. 2013, Special Issue (2013), Article ID 827826, 4 pages. doi:10.1155/2013/827826.

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