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Publications
Selected publications
We list here the publications that are more closely related to the
development of the Spectral Projected Gradient method (SPG), GENCAN and
ALGENCAN.
- E. G. Birgin, J. M. Martínez and M. Raydan, "Nonmonotone spectral
projected gradient methods on convex sets", SIAM Journal on Optimization
10, pp. 1196-1211, 2000.
[Abstract]
[pdf]
[ps]
- E. G. Birgin, J. M. Martínez and M. Raydan, "Algorithm 813: SPG -
software for convex-constrained optimization", ACM Transactions on
Mathematical Software 27, pp. 340-349, 2001.
[Abstract]
[pdf]
[ps]
- E. G. Birgin and J. M. Martínez, "Improving ultimate convergence of an
Augmented Lagrangian method", to appear in Optimization Methods and
Software 23, pp. 177-195, 2008.
[Abstract]
[pdf]
[ps]
- R. Andreani, E. G. Birgin, J. M. Martínez and
M. L. Schuverdt, "On Augmented Lagrangian methods with general
lower-level constraints", SIAM Journal on Optimization 18, pp. 1286-1309, 2007.
[Abstract]
[pdf]
[ps].
See also the Technical Report (extended version of the published article)
[pdf]
[ps]
- E. G. Birgin and J. M. Martínez, "Structured minimal-memory inexact
quasi-Newton method and secant preconditioners for Augmented Lagrangian
Optimization", Computational Optimization and Applications 39,
pp. 1-16, 2008. [Abstract] [pdf] [ps]
- R. Andreani, E. G. Birgin, J. M. Martínez and M. L. Schuverdt,
"Augmented Lagrangian methods under the Constant Positive Linear Dependence
constraint qualification", Mathematical Programming 111, pp. 5-32, 2008.
[Abstract]
[pdf]
[ps]
- E. G. Birgin, R. Castillo and J. M. Martínez, "Numerical comparison of
Augmented Lagrangian algorithms for nonconvex problems", Computational
Optimization and Applications 31, pp. 31-56, 2005.
[Abstract]
[pdf]
[ps]
- E. G. Birgin and J. M. Martínez, "Large-scale active-set
box-constrained optimization method with spectral projected gradients",
Computational Optimization and Applications 23, pp. 101-125, 2002.
[Abstract]
[pdf]
[ps]
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