A contribution to perturbation analysis for total least squares problems |
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| Authors: | Pengpeng Xie Hua Xiang Yimin Wei |
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| Institution: | 1.School of Mathematical Sciences,Fudan University,Shanghai,People’s Republic of China;2.Shanghai Key Laboratory of Contemporary Applied Mathematics,Shanghai,People’s Republic of China;3.School of Mathematics and Statistics,Wuhan University,Wuhan,People’s Republic of China;4.School of Mathematical Sciences,Ocean University of China,Qingdao,People’s Republic of China |
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| Abstract: | In this note, we present perturbation analysis for the total least squares (Tls) problems under the genericity condition. We review the three condition numbers proposed respectively by Zhou et al. (Numer. Algorithm, 51 (2009), pp. 381–399), Baboulin and Gratton (SIAM J. Matrix Anal. Appl. 32 (2011), pp. 685–699), Li and Jia (Linear Algebra Appl. 435 (2011), pp. 674–686). We also derive new perturbation bounds. |
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