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Sufficient conditions for the convergent splittings of non-Hermitian positive definite matrices
Authors:Chuan-Long Wang and Zhong-Zhi Bai
Affiliation:

a Department of Computer Science and Mathematics, The Normal College of Shanxi University, Taiyuan 030012, People's Republic of China

b State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, People's Republic of China

Abstract:We present sufficient conditions for the convergent splitting of a non-Hermitian positive definite matrix. These results are applicable to identify the convergence of iterative methods for solving large sparse system of linear equations.
Keywords:Non-Hermitian matrix   Positive definite matrix   Convergent splitting
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