A parallel algorithm of ICSYM for complex symmetric linear systems in quantum chemistry

Authors

  • Yingchun Zhang
  • Quanyi Lv
  • Manyu Xiao
  • Gongnan Xie
  • Piotr Breitkopf

DOI:

https://doi.org/10.7494/csci.2018.19.4.2868

Abstract

Computational effort is a common issue for solving large-scale complex symmetric linear systems, particularly in quantum chemistry applications. In order to alleviate this problem, we propose a parallel algorithm of improved conjugate gradient-type iterative (CSYM). Using three-term recurrence relation and orthogonal properties of residual vectors to replace the tridiagonalization process of classical CSYM, which allows to decrease the degree of the reduce-operator from two to one communication at each iteration and to reduce the amount of vector updates and vector multiplications. Several numerical examples are implemented to show that high performance of proposed improved version is obtained both in convergent rate and in parallel efficiency.

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Published

2018-11-25

How to Cite

Zhang, Y., Lv, Q., Xiao, M., Xie, G., & Breitkopf, P. (2018). A parallel algorithm of ICSYM for complex symmetric linear systems in quantum chemistry. Computer Science, 19(4). https://doi.org/10.7494/csci.2018.19.4.2868

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