Lower and Upper Bounds for the Perturbation of Linear Operators Equations
Document Type
Article
Publication Date
1-1-2004
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
Let X and Y be Banach spaces, and let T : X → Y be a bounded linear operator with closed range. In this paper, we give optimal lower and upper bounds for the perturbation of consistent operator equations Tx = y, and more general least-squares problems in Hilbert spaces.
Publication Title
Applied Mathematics Letters
Volume
17
Issue
1
First Page
55
Last Page
58
Recommended Citation
Ding, J.
(2004). Lower and Upper Bounds for the Perturbation of Linear Operators Equations. Applied Mathematics Letters, 17(1), 55-58.
Available at: https://aquila.usm.edu/fac_pubs/3424