Publications

Book

E. G. Birgin and J. M. Martínez, Practical Augmented Lagrangian Methods for Constrained Optimization, SIAM, Philadelphia, 2014.

Selected journal publications

We list here the publications that are more closely related to the development of the Spectral Projected Gradient method (SPG), GENCAN and ALGENCAN. Other publications can be found at the Roberto Andreani, Ernesto G. Birgin, José Mario Martínez, Marcos Raydan, and Maria Laura Schuverdt web pages. (In particular, for recent advances with direct implications in the convergence theory of Algencan see the web page of Roberto Andreani.)

• 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]

• 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].

• 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]