2008
DOI: 10.1142/s0217595908001663
|View full text |Cite
|
Sign up to set email alerts
|

Global Convergence of a Special Case of the Dai–yuan Family Without Line Search

Abstract: Conjugate gradient methods are efficient to minimize differentiable objective functions in large dimension spaces. Recently, Dai and Yuan introduced a tree-parameter family of nonlinear conjugate gradient methods and show their convergence. However, line search strategies usually bring computational burden. To overcome this problem, in this paper, we study the global convergence of a special case of three-parameter family(the CD-DY family) in which the line search procedures are replaced by fixed formulae of s… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2010
2010
2023
2023

Publication Types

Select...
3

Relationship

0
3

Authors

Journals

citations
Cited by 3 publications
(1 citation statement)
references
References 16 publications
0
1
0
Order By: Relevance
“…Here, we would like to use the hybrid local and global optimization search methods to investigate the optimal atomic-resolution amyloid fibril models in hopes that the findings thus obtained may be of use for controlling prion diseases. Using the traditional local search steepest descent and conjugate gradient [Li and Chen, 2005, Sun and Zhang, 2001, Zhu and Chen, 2008] methods hybridized with the standard global search simulated annealing method [Horst et al, 2003, Yiu et al, 2004, zhang (2011a) successfully constructed three optimal atomic-resolution structures of prion AGAAAAGA amyloid fibrils. These structures were constructed based on the breakthrough work of [Sawaya et al, 2007].…”
Section: Introductionmentioning
confidence: 99%
“…Here, we would like to use the hybrid local and global optimization search methods to investigate the optimal atomic-resolution amyloid fibril models in hopes that the findings thus obtained may be of use for controlling prion diseases. Using the traditional local search steepest descent and conjugate gradient [Li and Chen, 2005, Sun and Zhang, 2001, Zhu and Chen, 2008] methods hybridized with the standard global search simulated annealing method [Horst et al, 2003, Yiu et al, 2004, zhang (2011a) successfully constructed three optimal atomic-resolution structures of prion AGAAAAGA amyloid fibrils. These structures were constructed based on the breakthrough work of [Sawaya et al, 2007].…”
Section: Introductionmentioning
confidence: 99%