Convex constrained optimization for large-scale generalized Sylvester equations |
| |
Authors: | A Bouhamidi K Jbilou M Raydan |
| |
Institution: | (1) Department of Mathematics, University of Bologna, Piazza Porta San Donato, 5, 40126 Bologna, Italy |
| |
Abstract: | We propose and study the use of convex constrained optimization techniques for solving large-scale Generalized Sylvester Equations
(GSE). For that, we adapt recently developed globalized variants of the projected gradient method to a convex constrained
least-squares approach for solving GSE. We demonstrate the effectiveness of our approach on two different applications. First,
we apply it to solve the GSE that appears after applying left and right preconditioning schemes to the linear problems associated
with the discretization of some partial differential equations. Second, we apply the new approach, combined with a Tikhonov
regularization term, to restore some blurred and highly noisy images. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|