首页> 外文期刊>Computers & mathematics with applications >A quasi-minimal residual variant of the BiCORSTAB method for nonsymmetric linear systems
【24h】

A quasi-minimal residual variant of the BiCORSTAB method for nonsymmetric linear systems

机译:非对称线性系统BiCORSTAB方法的准最小残差

获取原文
获取原文并翻译 | 示例

摘要

The Biconjugate A-orthogonal residual stabilized method named as BiCORSTAB was proposed by Jing et al. (2009), where the numerical experiments therein demonstrate that the BiCORSTAB method converges more smoothly than the Bi-Conjugate Gradient stabilized (BiCGSTAB) method in some circumstances. In order to further stabilize the convergence behavior and hopefully to accelerate the convergence speed of the BiCORSTAB algorithm when it has erratic convergence curves, a quasi-minimal residual variant of the BiCORSTAB algorithm, named as QMRC0RSTAB, will be developed and investigated for solving non-symmetric systems of linear equations borrowing the same further-smooth-effect idea for the QMRCGSTAB method. Numerical experiments on typical sets of both sparse and dense matrices will show that the proposed QMRCORSTAB method shares attractive smoother effect over its basic parent and also outperforms its counterpart.
机译:Jing等人提出了一种名为BiCORSTAB的双共轭A正交残差稳定方法。 (2009年),其中的数值实验表明BiCORSTAB方法在某些情况下比Bi-共轭梯度稳定(BiCGSTAB)方法收敛更平稳。为了进一步稳定收敛行为,并希望在BiCORSTAB算法具有不稳定的收敛曲线时加快其收敛速度,将开发和研究BiCORSTAB算法的拟最小残差变量,称为QMRC0RSTAB,以解决非收敛问题。线性方程组的对称系统借用了QMRCGSTAB方法的相同的进一步平滑效果的想法。在稀疏矩阵和稠密矩阵的典型集合上进行的数值实验将表明,所提出的QMRCORSTAB方法在其基本父代方法上具有吸引人的平滑效果,并且也优于同类方法。

著录项

  • 来源
    《Computers & mathematics with applications》 |2014年第10期|1743-1755|共13页
  • 作者单位

    School of Mathematical Sciences/Institute of Computational Science, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, PR China;

    School of Mathematical Sciences/Institute of Computational Science, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, PR China;

    School of Mathematical Sciences/Institute of Computational Science, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, PR China;

    Institute of Mathematics and Computing Science, University of Groningen, Nijenborgh 9, PO Box 407, 9700 AK Groningen, Netherlands;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Quasi-minimal residual variant; Nonsymmetric linear systems; BiCORSTAB; QMRCGSTAB; QMRCORSTAB;

    机译:准最小残差变体;非对称线性系统;BiCORSTAB;QMRCGSTAB;QMRCORSTAB;

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号