58 citations · 91 across the 6 of their papers we have counts for
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math.OC2021★ 11 cited
Block Coordinate Descent for smooth nonconvex constrained minimization
E. G. Birgin, J. M. Martínez
At each iteration of a Block Coordinate Descent method one minimizes an approximation of the objective function with respect to a generally small set of variables subject to constr…
math.OC2020★ 8 cited
On complexity and convergence of high-order coordinate descent algorithms for smooth nonconvex box-constrained minimization
V. S. Amaral, R. Andreani, E. G. Birgin +2
Coordinate descent methods have considerable impact in global optimization because global (or, at least, almost global) minimization is affordable for low-dimensional problems. Coo…
math.OC2019★ 58 cited
Complexity and performance of an Augmented Lagrangian algorithm
E. G. Birgin, J. M. Martínez
Algencan is a well established safeguarded Augmented Lagrangian algorithm introduced in [R. Andreani, E. G. Birgin, J. M. Mart\'ınez and M. L. Schuverdt, On Augmented Lagrangian me…