Article

Calcolo

, Volume 48, Issue 3, pp 245-260

Convergence for nonnegative double splittings of matrices

  • J. SongAffiliated withInstitute of Mathematics, Nanjing Normal UniversityFaculty of Humanities, Jiangsu Institute of Education
  • , Y. SongAffiliated withInstitute of Mathematics, Nanjing Normal University Email author 

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Abstract

In this paper, we investigate a class of iterative methods for solving linear systems. This iterative method is derived by double splittings of coefficient matrices. On the basis of convergence and comparison theorems for single splittings, we present some convergence and comparison theorems for nonnegative double splittings. The results are applied to the Jacobi double SOR method.

Keywords

Linear system Matrix Double splitting Jacobi double SOR method Convergence Comparison

Mathematics Subject Classification (2000)

65F10 15A23