On the limited memory BFGS method for large scale optimization (1989)

by Dong C. Liu , Jorge Nocedal , Dong C. Liu , Jorge Nocedal
Venue:Mathematical Programming
Citations:488 - 14 self

Active Bibliography

83 Theory of Algorithms for Unconstrained Optimization – Jorge Nocedal - 1992
13 An overview of unconstrained optimization – R. Fletcher, S. Leyffer - 1993
8 Towards a Discrete Newton Method with Memory for Large-Scale Optimization – Richard H. Byrd, Jorge Nocedal, Ciyou Zhu - 1996
6 Large Scale Unconstrained Optimization – Jorge Nocedal - 1996
12 BFGS with update skipping and varying memory – Tamara G. Kolda, Dianne P. O’leary, Larry Nazareth - 1998
30 Limited-Memory Matrix Methods with Applications – Tamara Gibson Kolda - 1997
26 A survey of nonlinear conjugate gradient methods – William W. Hager, Hongchao Zhang - 2006
25 Theory and implementation of numerical methods based on Runge-Kutta integration for solving optimal control problems – Adam Lowell Schwartz - 1996
31 Automatic preconditioning by limited memory Quasi-Newton updating – Jose Luis Morales, Jorge Nocedal Y
2 Algorithm PREQN: Fortran 77 Subroutines for Preconditioning the Conjugate Gradient Method – José Luis Morales, Jorge Nocedal - 1999
8 Second Order Information in Data Assimilation – Francois-Xavier Le Dimet, I. M. Navon, Dacian N. Daescu - 2000
42 A Global Convergence Theory for General Trust-Region-Based Algorithms for Equality Constrained Optimization – John Dennis, Mahraoud El-Alera, Maria Christina Maciel, J. E. Dennis, Mahmoud El-alem, Maria, C. Maciel - 1992
6 A three-parameter family of nonlinear conjugate gradient methods – Y. H. Dai, Y. Yuan - 2001
Variational Data Assimilation: Theory and Applications – Xiaolei Zou, I. M. Navon
13 Numerical experience with limited-Memory Quasi-Newton methods and Truncated Newton methods – X. Zou, I. M. Navon, M. Berger, K. H. Phua, T. Schlickii, F. X. Le Dimet - 1992
11 Numerical Optimal Control Of Parabolic PDEs Using DASOPT – Linda Petzold, J. Ben Rosen, PHILIP E. GILL, Laurent O. Jay, KIHONG PARK - 1997
103 Representations Of Quasi-Newton Matrices And Their Use In Limited Memory Methods – Richard H. Byrd, Jorge Nocedal, Robert B. Schnabel, Richard H. Byrd Jorge Nocedal, Robert B - 1994
A practical method for solving large-scale TRS – M. S. Apostolopoulou, D. G. Sotiropoulos , C. A. Botsaris, P. Pintelas , C. A. Botsaris, P. Pintelas - 2009
17 Combining Trust Region and Line Search Techniques – Jorge Nocedal, Ya-xiang Yuan