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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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Simultaneous band reduction of two symmetric matrices

发布时间: 2019-03-20 点击次数:

  • 论文类型:期刊论文
  • 第一作者:杜磊
  • 合写作者:Akira Imakura,Tetsuya Sakurai
  • 发表刊物:Computers and Mathematics with Applications
  • 卷号:77
  • 期号:8
  • 页面范围:2207-2220
  • 关键字:Computer architecture; Matrix algebra, Band reduction; Matrix operations; Matrix pencil; Numerical results; Symmetric matrices; Tridiagonalization; Vector operations; WY representation, Linear transformations
  • 摘要:In this paper, we consider simultaneous band reduction of two dense symmetric matrices by congruent transformations. The ideas of simultaneous tridiagonalization are generalized to propose an efficient algorithm for the simultaneous band reduction. In contrast to the algorithms of simultaneous tridiagonalization which are mainly based on matrix–vector operations, the proposed algorithm of simultaneous band reduction has the advantage that matrix–matrix operations can be fully used to achieve better performance on modern computer architecture. Numerical results are presented to illustrate the effectiveness of our proposed algorithm. © 2018 Elsevier Ltd
  • 发表时间:2019-01-01