Paper Info
Title
Analysis of the Barzilai-Borwein Step-Sizes for Problems in Hilbert Spaces.
Abstract
The Barzilai and Borwein gradient method has received a significant amount of attention in different fields of optimization. This is due to its simplicity, computational cheapness, and efficiency in practice. In this research, based on spectral analysis techniques, root-linear global convergence for the Barzilai and Borwein method is proven for strictly convex quadratic problems posed in infinite-dimensional Hilbert spaces. The applicability of these results is demonstrated for two optimization problems governed by partial differential equations.
Year
DOI
Venue
2020
10.1007/s10957-020-01677-y
Journal of Optimization Theory and Applications
Keywords
DocType
Volume
Barzilai–Borwein method, Hilbert spaces, R-Linear rate of convergence, PDE-constrained optimization, 65K05, 49J20, 49K20, 93C20
Journal
185
Issue
ISSN
Citations 
3
0022-3239
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Behzad Azmi101.69
Karl Kunisch21370145.58