کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4633980 | 1340683 | 2008 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Comment on “condition number of Drazin inverse and their condition numbers of singular linear systems”
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Comment on “condition number of Drazin inverse and their condition numbers of singular linear systems” Comment on “condition number of Drazin inverse and their condition numbers of singular linear systems”](/preview/png/4633980.png)
چکیده انگلیسی
In this paper, we establish the condition number of Drazin inverse of a singular matrix A, where R(Ak)=R(Ak*) and k = index(A), by the Schur decomposition. Based on this form, the spectral norm and Frobenius norm of relative condition number for the Drazin inverse and level-2 condition number of the Drazin inverse are characterized. The sensitivity for the Drazin-inverse solution of singular systems is also presented. We obtain several formulas for the condition number of the Drazin inverse by spectral norm instead of the P-norm, where P is a transformation matrix of the Jordan canonical form of A, thereby improving the earlier work [Y. Wei, G. Wang, D. Wang, Condition number of Drazin inverse and their condition numbers of singular linear systems, Appl. Math. Comput. 146 (2003) 455-467].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 199, Issue 2, 1 June 2008, Pages 512-526
Journal: Applied Mathematics and Computation - Volume 199, Issue 2, 1 June 2008, Pages 512-526
نویسندگان
Jueping Chen, Zhaoliang Xu,