On the Perturbation of the Least-Squares Solutions in Hilbert-Spaces

Authors

Jiu Ding, University of Southern MississippiFollow
L.J. Huang, Rockford CollegeFollow

Document Type

Article

Publication Date

11-15-1994

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Let H₁ and H₂ be Hilbert spaces, and let T : H₁ → H₂ be a bounded linear operator with closed range. We present some results of the perturbation analysis for the least squares solutions to the operator equation Tx = y.

Publication Title

Linear Algebra and Its Applications

Volume

212

First Page

487

Last Page

500

Recommended Citation

Ding, J., Huang, L. (1994). On the Perturbation of the Least-Squares Solutions in Hilbert-Spaces. Linear Algebra and Its Applications, 212, 487-500.
Available at: https://aquila.usm.edu/fac_pubs/6613