Article ID Journal Published Year Pages File Type
4632897 Applied Mathematics and Computation 2009 9 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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