activity
20082021
most citedComplexity and performance of an Augmented Lagrangian algorithm

58 citations · 91 across the 6 of their papers we have counts for

collaborators

6 papers

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.NA2021★ 10 cited

Accelerated derivative-free nonlinear least-squares applied to the estimation of Manning coefficients

E. G. Birgin, J. M. Martínez

A general framework for solving nonlinear least squares problems without the employment of derivatives is proposed in the present paper together with a new general global convergen…

math.NA2020★ 3 cited

Secant acceleration of sequential residual methods for solving large-scale nonlinear systems of equations

Ernesto G. Birgin, J. M. Martínez

Sequential Residual Methods try to solve nonlinear systems of equations by iteratively updating the current approximate solution along a residual-related direction. Theref…

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…

physics.ao-ph2008★ 1 cited

Continuing dynamic assimilation of the inner region data in hydrodynamics modelling: Optimization approach

F. I. Pisnichenko, I. A. Pisnichenko, J. M. Martinez +1

In meteorological and oceanological studies the classical approach for finding the numerical solution of the regional model consists in formulating and solving the Cauchy-Dirichlet…