Calcolo

, Volume 44, Issue 3, pp 127–135

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

Authors

  • Shu-Qian Shen
    • School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054
  • Ting-Zhu Huang
    • School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054
  • Jin-Liang Shao
    • School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054
Article

DOI: 10.1007/s10092-007-0132-1

Cite this article as:
Shen, S., Huang, T. & Shao, J. Calcolo (2007) 44: 127. doi:10.1007/s10092-007-0132-1

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

Copyright information

© Springer-Verlag 2007