Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632897 | Applied Mathematics and Computation | 2009 | 9 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shu-fan Wang, Bing Zheng, Zhi-ping Xiong, Zi-zhen Li,