کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9509421 | 1341394 | 2005 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers](/preview/png/9509421.png)
چکیده انگلیسی
In this paper, we investigate the condition number of Drazin inverse and Drazin-inverse solution of singular linear system Ax=b, where A is a nÃn rank-deficient matrix and b a real vector of size n, x a real vector. Let α and β be two positive real numbers, when we consider the weighted Frobenius norm â¥[αA,βb]â¥P,Q(F) on the data we get the formula of condition number of the Drazin-inverse solution of singular linear system. For the normwise condition number, the sensitivity of the relative condition number itself is studied, the componentwise perturbation is also investigated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 182, Issue 2, 15 October 2005, Pages 270-289
Journal: Journal of Computational and Applied Mathematics - Volume 182, Issue 2, 15 October 2005, Pages 270-289
نویسندگان
Yimin Wei, Huaian Diao,