, Volume 48, Issue 3, pp 245–260

Convergence for nonnegative double splittings of matrices


DOI: 10.1007/s10092-010-0037-2

Cite this article as:
Song, J. & Song, Y. Calcolo (2011) 48: 245. doi:10.1007/s10092-010-0037-2


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.


Linear systemMatrixDouble splittingJacobi double SOR methodConvergenceComparison

Mathematics Subject Classification (2000)


Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Institute of MathematicsNanjing Normal UniversityNanjingPR China
  2. 2.Faculty of HumanitiesJiangsu Institute of EducationNanjingPR China