On the Existence of Solutions to Equality Constrained Least-Squares Problems in Infinite Dimensional Hilbert Spaces
Document Type
Article
Publication Date
9-25-2002
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
We study the problem of existence of solutions to least-squares problems with equality constraints (LSE) in infinite dimensional Hilbert spaces, based on the equivalence of this problem to a usual least-squares problem (LSP) and Bouldin's result. Several equivalent conditions are presented. (C) 2002 Elsevier Science Inc. All rights reserved.
Publication Title
Applied Mathematics and Computation
Volume
131
Issue
2-3
First Page
573
Last Page
581
Recommended Citation
Ding, J.
(2002). On the Existence of Solutions to Equality Constrained Least-Squares Problems in Infinite Dimensional Hilbert Spaces. Applied Mathematics and Computation, 131(2-3), 573-581.
Available at: https://aquila.usm.edu/fac_pubs/3494