Lower and Upper Bounds for the Perturbation of Linear Operators Equations
Mathematics and Natural Sciences
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.
Applied Mathematics Letters
(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