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On level-2 condition number for the weighted Moore–Penrose inverse

✍ Scribed by Lijing Lin; Tzon-Tzer Lu; Yimin Wei

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
277 KB
Volume
55
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we present characterizations for the level-2 condition number of the weighted Moore-Penrose inverse, i.e.,

where cond M N (A) is the condition number of the weighted Moore-Penrose inverse of a rectangular matrix and cond [2] M N (A) is the level-2 condition number of this problem. This paper extends the result by Cucker, Diao and Wei [F. Cucker, H. Diao, Y. Wei, On the level-2 condition number for Moore-Penrose inversion, 2005, Unpublished report] and improves the results by Wei and Wang [Y. Wei, D. Wang, Condition numbers and perturbation of weighted Moore-Penrose inverse and weighted linear least squares problem, Appl. Math. Comput. 145 (2003) 45-58].

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