Article

Calcolo

, Volume 44, Issue 3, pp 127-135

First online:

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

  • Shu-Qian ShenAffiliated withSchool of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054
  • , Ting-Zhu HuangAffiliated withSchool of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054
  • , Jin-Liang ShaoAffiliated withSchool of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054

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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