On saddle points of a class of augmented lagrangian functions

Qian Liu; Xinmin Yang; Heung Wing Joseph Lee

doi:10.3934/jimo.2007.3.693

Article Contents

2007, Volume 3, Issue 4: 693-700. Doi: 10.3934/jimo.2007.3.693

This issue Previous Article Duplicating in batch scheduling Next Article An application of the nearest correlation matrix on web document classification

On saddle points of a class of augmented lagrangian functions

1.
Department of Mathematics, Inner Mongolia University, Hohhot, 010021
2.
Department of Mathematics, Chongqing Normal University, Chongqing 400047
3.
Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

Received: November 2006

Revised: April 2007

Published: October 2007

Abstract Related Papers Cited by

Abstract

For constrained nonconvex optimization, we first show that under second-order sufficient conditions, a class of augmented Lagrangian functions possess local saddle points, and then prove that global saddle points of these augmented Lagrangian functions exist under certain mild additional conditions.

Keywords:

Mathematics Subject Classification: 90C26, 90C46.

Citation:

Article Metrics

HTML views() PDF downloads(171) Cited by(0)

On saddle points of a class of augmented lagrangian functions

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

On saddle points of a class of augmented lagrangian functions

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content