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杜磊 副教授

2006年本科毕业于大连理工大学数学与应用数学专业,2008年硕士毕业于大连理工大学计算数学专业(导师:于波 教授),2011年博士毕业于日本名古屋大学计算理工学专攻,获博士(工学)学位(导师:张绍良 教授)。后在筑波大学计算机科学专攻从事博士后研究工作(日本技术振兴机构CREST项目资助,合作导师:Prof. SAKURAI Tetsuya)。2014年回国任职于大连理工大学数学科学学院。主要研究内容包括:大型稀疏线性方程组求解、矩阵特征值计算、高性能科学计算等。

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Restarted Hessenberg method for solving shifted nonsymmetric linear systems

发布时间: 2019-03-11 点击次数:

  • 论文类型:期刊论文
  • 第一作者:Gu, Xian-Ming
  • 通讯作者:Huang, TZ (reprint author), Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China.
  • 合写作者:Huang, Ting-Zhu,Yin, Guojian,Carpentieri, Bruno,Wen, Chun,Du, Lei
  • 收录刊物:SCIE、EI、ESI高被引论文
  • 卷号:331
  • 页面范围:166-177
  • ISSN号:0377-0427
  • 关键字:Shifted linear system; Hessenberg process; Pivoting strategy; Restarted Hessenberg method; Collinear; Fractional differential equations
  • 摘要:It is known that the restarted full orthogonalization method (FOM) outperforms the restarted generalized minimum residual (GMRES) method in several circumstances for solving shifted linear systems when the shifts are handled simultaneously. Many variants of them have been proposed to enhance their performance. We show that another restarted method, the restarted Hessenberg method (Heyouni, 1996) based on Hessenberg procedure, can effectively be employed, which can provide accelerating convergence rate with respect to the number of restarts. Theoretical analysis shows that the new residual of shifted restarted Hessenberg method is still collinear with each other. In these cases where the proposed algorithm needs less enough elapsed CPU time to converge than the earlier established restarted shifted FOM, the weighted restarted shifted FOM, and some other popular shifted iterative solvers based on the short-term vector recurrence, as shown via extensive numerical experiments involving the recently popular application of handling time fractional differential equations. (C) 2017 Elsevier B.V. All rights reserved.
  • 发表时间:2018-03-15