𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Perturbation analysis and condition numbers of scaled total least squares problems

✍ Scribed by Liangmin Zhou; Lijing Lin; Yimin Wei; Sanzheng Qiao

Publisher
Springer US
Year
2009
Tongue
English
Weight
409 KB
Volume
51
Category
Article
ISSN
1017-1398

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On Frobenius normwise condition numbers
On Frobenius normwise condition numbers for Moore–Penrose inverse and linear least-squares problems
✍ Huaian Diao; Yimin Wei πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 109 KB

## Abstract Condition numbers play an important role in numerical analysis. Classical condition numbers are normwise: they measure the size of both input perturbations and output errors using norms. In this paper, we give explicit, computable expressions depending on the data, for the normwise cond

Perturbation theory for the Eckart-Young
Perturbation theory for the Eckart-Young-Mirsky theorem and the constrained total least squares problem
✍ Musheng Wei πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 972 KB

Golub et al. (Linear Algebra Appl. 88/89 (1987) 317-327) J.Demmel (SIAM J. Numer. Anal. 24 (1987) 199-206), generalized the Eckart-Young-Mirsky (EYM) theorem, which solves the problem of approximating a matrix by one of lower rank with only a specific rectangular subset of the matrix allowed to be