DocumentCode
800193
Title
On the convergence of the conjugate gradient method in Hilbert space
Author
Kawamura, Kei ; Volz, Ryan
Author_Institution
University of Michigan, Ann Arbor, MI, USA
Volume
14
Issue
3
fYear
1969
fDate
6/1/1969 12:00:00 AM
Firstpage
296
Lastpage
297
Abstract
A proof of convergence of the conjugate gradient method of Hestenes and Stiefel in a Hilbert space setting for Fréchet differentiable functionals is given. The proof is based upon uniform continuity of the gradient and is similar to that used by Goldstein for the steepest descent method.
Keywords
Gradient methods; Hilbert spaces; Convergence; Gradient methods; Hilbert space; Iterative methods; Laplace equations; Nonlinear equations; Topology; Vectors;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1969.1099164
Filename
1099164
Link To Document