کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632897 1340657 2009 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The condition numbers for weighted Moore–Penrose inverse and weighted linear least squares problem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The condition numbers for weighted Moore–Penrose inverse and weighted linear least squares problem
چکیده انگلیسی

Condition numbers play an important role in numerical analysis. Classical normise condition numbers are used to measure the size of both input perturbations and output errors. In this paper, we study the weighted normwise relative condition numbers for the weighted Moore–Penrose inverse and the weighted linear least-squares (WLS) problems in the case of the full-column rank matrix. The bounds or formulas for the weighted condition numbers are presented. The obtained results can be viewed as extensions of the earlier works studied by others.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 215, Issue 1, 1 September 2009, Pages 197–205
نویسندگان
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