期刊论文

Tian, Zhaolu;Tian, Maoyi

英文

Applied Mathematics and Computation

0096-3003

2019

356

479-501

10.1016/j.amc.2019.02.066

The authors sincerely thank the anonymous referees for their constructive and valuable comments, which greatly improved the presentation of this paper. The authors would like to thank the supports of the National Natural Science Foundation of China (Grant No. 11371075 ), the China Scholarship Council (Grant No. 201706935029 ), the Hunan Key Laboratory of mathematical modeling and analysis in engineering.

本校为其他机构

In this paper, combined the regular splittings of the coefficient matrix I - alpha P with the inner-outer iteration framework [9], a general inner-outer (GIO) iteration method is presented for solving the PageRank problem. Firstly, the AOR and modified AOR (MAOR) methods for solving the PageRank problem are constructed, and several comparison results are also given. Next, the GIO iteration scheme is developed, and its overall convergence is analyzed in detail. Furthermore, the preconditioner derived from the GIO iteration can be used to accelerate the Krylov subspace methods, such as GMRES met...