BiCOR

The BiCOR and CORS iterative algorithms for solving nonsymmetric linear systems The paper describes the theoretical background and computational aspects of two iterative algorithms for solving real nonsymmetric and complex non-Hermetian linear systems. These algorithms are developed from variants of the nonsymmetric Lanczos method. The convergence properties of these two methods are then analyzed using a large number of numerical experiments. The paper also includes a comparison of the two methods under examination with other common iterative algorithms for solving nonsymmetic linear systems.

This software is also peer reviewed by journal TOMS.


References in zbMATH (referenced in 9 articles , 1 standard article )

Showing results 1 to 9 of 9.
Sorted by year (citations)

  1. Jing, Yan-Fei; Yuan, Pei; Huang, Ting-Zhu: A simpler GMRES and its adaptive variant for shifted linear systems. (2017)
  2. Gu, Xian-Ming; Huang, Ting-Zhu; Carpentieri, Bruno: BiCGCR2: A new extension of conjugate residual method for solving non-Hermitian linear systems (2016)
  3. Meng, Jing; Li, Hou-Biao; Jing, Yan-Fei: A new deflated block GCROT($m,k$) method for the solution of linear systems with multiple right-hand sides (2016)
  4. Zhang, Jianhua; Dai, Hua: A transpose-free quasi-minimal residual variant of the CORS method for solving non-Hermitian linear systems (2015)
  5. Zhang, Jianhua; Dai, Hua: A new quasi-minimal residual method based on a biconjugate $A$-orthonormalization procedure and coupled two-term recurrences (2015)
  6. Sun, Dong-Lin; Jing, Yan-Fei; Huang, Ting-Zhu; Carpentieri, Bruno: A quasi-minimal residual variant of the BiCORSTAB method for nonsymmetric linear systems (2014)
  7. Jing, Yan-Fei; Huang, Ting-Zhu; Carpentieri, Bruno; Duan, Yong: Exploiting the composite step strategy to the biconjugate $A$-orthogonal residual method for non-Hermitian linear systems (2013)
  8. Zhao, Liang; Huang, Ting-Zhu; Jing, Yan-Fei; Deng, Liang-Jian: A generalized product-type BiCOR method and its application in signal deconvolution (2013)
  9. Carpentieri, B.; Jing, Y.-F.; Huang, T.-Z.: The BiCOR and CORS iterative algorithms for solving nonsymmetric linear systems (2011)