Investigating the Composite Step Biconjugate A-Orthogonal Residual Method for Non-Hermitian Dense Linear Systems in Electromagnetics

Authors

  • Yan-Fei Jing University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, P. R. China
  • Ting-Zhu Huang University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, P. R. China
  • Yong Duan University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, P. R. China
  • Bruno Carpentieri University of Groningen, Nijenborgh 9, PO Box 407, 9700 AK Groningen, Netherlands

Keywords:

Investigating the Composite Step Biconjugate A-Orthogonal Residual Method for Non-Hermitian Dense Linear Systems in Electromagnetics

Abstract

An interesting stabilizing variant of the biconjugate A-orthogonal residual (BiCOR) method is investigated for solving dense complex non-Hermitian systems of linear equations arising from the Galerkin discretization of surface integral equations in electromagnetics. The novel variant is naturally based on and inspired by the composite step strategy employed for the composite step biconjugate gradient method from the point of view of pivot-breakdown treatment when the BiCOR method has erratic convergence behaviors. Besides reducing the number of spikes in the convergence history of the norm of the residuals to the greatest extent, the present composite step BiCOR method can provide some further practically desired smoothing behavior towards stabilizing the numerical performance of the BiCOR method in the case of irregular convergence.

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Published

2022-05-02

How to Cite

[1]
Y.-F. . Jing, T.-Z. . Huang, Y. . Duan, and B. . Carpentieri, “Investigating the Composite Step Biconjugate A-Orthogonal Residual Method for Non-Hermitian Dense Linear Systems in Electromagnetics”, ACES Journal, vol. 27, no. 2, pp. 112–122, May 2022.

Issue

2012: Vol 27 Iss 2

Section

General Submission