Exploiting the Composite Step Strategy to the Biconjugate A-Orthogonal Residual Method for Non-Hermitian Linear Systems
المؤلفون المشاركون
Carpentieri, Bruno
Jing, Yan-Fei
Huang, Ting-Zhu
Duan, Yong
المصدر
Journal of Applied Mathematics
العدد
المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-16، 16ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2013-02-20
دولة النشر
مصر
عدد الصفحات
16
التخصصات الرئيسية
الملخص EN
The Biconjugate A-Orthogonal Residual (BiCOR) method carried out in finite precision arithmetic by means of the biconjugate A-orthonormalization procedure may possibly tend to suffer from two sources of numerical instability, known as two kinds of breakdowns, similarly to those of the Biconjugate Gradient (BCG) method.
This paper naturally exploits the composite step strategy employed in the development of the composite step BCG (CSBCG) method into the BiCOR method to cure one of the breakdowns called as pivot breakdown.
Analogously to the CSBCG method, the resulting interesting variant, with only a minor modification to the usual implementation of the BiCOR method, is able to avoid near pivot breakdowns and compute all the well-defined BiCOR iterates stably on the assumption that the underlying biconjugate A-orthonormalization procedure does not break down.
Another benefit acquired is that it seems to be a viable algorithm providing some further practically desired smoothing of the convergence history of the norm of the residuals, which is justified by numerical experiments.
In addition, the exhibited method inherits the promising advantages of the empirically observed stability and fast convergence rate of the BiCOR method over the BCG method so that it outperforms the CSBCG method to some extent.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Jing, Yan-Fei& Huang, Ting-Zhu& Carpentieri, Bruno& Duan, Yong. 2013. Exploiting the Composite Step Strategy to the Biconjugate A-Orthogonal Residual Method for Non-Hermitian Linear Systems. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-469767
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Jing, Yan-Fei…[et al.]. Exploiting the Composite Step Strategy to the Biconjugate A-Orthogonal Residual Method for Non-Hermitian Linear Systems. Journal of Applied Mathematics No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-469767
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
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. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-469767
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-469767
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر