Amaral, V. S.; Andreani, R.; Birgin, E. G.; Marcondes, D. S.; Martínez, J. M. On complexity and convergence of high-order coordinate descent algorithms for smooth nonconvex box-constrained minimization. (English) Zbl 1504.90147 J. Glob. Optim. 84, No. 3, 527-561 (2022). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{V. S. Amaral} et al., J. Glob. Optim. 84, No. 3, 527--561 (2022; Zbl 1504.90147) Full Text: DOI arXiv
Birgin, E. G.; Bueno, L. F.; Martínez, J. M. On the complexity of solving feasibility problems with regularized models. (English) Zbl 1501.90092 Optim. Methods Softw. 37, No. 2, 405-424 (2022). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Optim. Methods Softw. 37, No. 2, 405--424 (2022; Zbl 1501.90092) Full Text: DOI
Birgin, E. G.; Martínez, J. M. Block coordinate descent for smooth nonconvex constrained minimization. (English) Zbl 1496.90092 Comput. Optim. Appl. 83, No. 1, 1-27 (2022). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Comput. Optim. Appl. 83, No. 1, 1--27 (2022; Zbl 1496.90092) Full Text: DOI arXiv
Birgin, Ernesto G.; Laurain, Antoine; Massambone, Rafael; Santana, Arthur G. A shape-Newton approach to the problem of covering with identical balls. (English) Zbl 1486.49054 SIAM J. Sci. Comput. 44, No. 2, A798-A824 (2022). MSC: 49Q10 49J52 49Q12 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., SIAM J. Sci. Comput. 44, No. 2, A798--A824 (2022; Zbl 1486.49054) Full Text: DOI arXiv
Birgin, E. G.; Krejić, N.; Martínez, J. M. Inexact restoration for derivative-free expensive function minimization and applications. (English) Zbl 1494.65038 J. Comput. Appl. Math. 410, Article ID 114193, 15 p. (2022). MSC: 65K05 65K10 90C30 90C56 65Y20 90C90 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., J. Comput. Appl. Math. 410, Article ID 114193, 15 p. (2022; Zbl 1494.65038) Full Text: DOI arXiv
Birgin, E. G.; Martínez, J. M. Accelerated derivative-free nonlinear least-squares applied to the estimation of Manning coefficients. (English) Zbl 1487.90603 Comput. Optim. Appl. 81, No. 3, 689-715 (2022). MSC: 90C30 90C56 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Comput. Optim. Appl. 81, No. 3, 689--715 (2022; Zbl 1487.90603) Full Text: DOI arXiv
Birgin, E. G.; Gardenghi, J. L.; Martínez, J. M.; Santos, S. A. On the solution of linearly constrained optimization problems by means of barrier algorithms. (English) Zbl 07389625 Top 29, No. 2, 417-441 (2021). MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Top 29, No. 2, 417--441 (2021; Zbl 07389625) Full Text: DOI
Birgin, E. G.; Laurain, A.; Massambone, R.; Santana, A. G. A shape optimization approach to the problem of covering a two-dimensional region with minimum-radius identical balls. (English) Zbl 1467.49030 SIAM J. Sci. Comput. 43, No. 3, A2047-A2078 (2021). MSC: 49Q10 49J52 49Q12 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., SIAM J. Sci. Comput. 43, No. 3, A2047--A2078 (2021; Zbl 1467.49030) Full Text: DOI
Birgin, E. G.; Martínez, J. M.; Ramos, A. On constrained optimization with nonconvex regularization. (English) Zbl 1496.90064 Numer. Algorithms 86, No. 3, 1165-1188 (2021). Reviewer: Rita Pini (Milano) MSC: 90C26 90C46 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Numer. Algorithms 86, No. 3, 1165--1188 (2021; Zbl 1496.90064) Full Text: DOI
Birgin, E. G.; Martínez, J. M. Complexity and performance of an augmented Lagrangian algorithm. (English) Zbl 1464.90094 Optim. Methods Softw. 35, No. 5, 885-920 (2020). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Optim. Methods Softw. 35, No. 5, 885--920 (2020; Zbl 1464.90094) Full Text: DOI arXiv
Birgin, Ernesto G. (ed.) Preface of the special issue dedicated to the XII Brazilian workshop on continuous optimization. (English) Zbl 1484.00117 Comput. Optim. Appl. 76, No. 3, 615-619 (2020). MSC: 00B25 00B30 49-06 90-06 PDFBibTeX XMLCite \textit{E. G. Birgin} (ed.), Comput. Optim. Appl. 76, No. 3, 615--619 (2020; Zbl 1484.00117) Full Text: DOI
Birgin, E. G.; Gardenghi, J. L.; Martínez, J. M.; Santos, S. A. On the use of third-order models with fourth-order regularization for unconstrained optimization. (English) Zbl 1439.90066 Optim. Lett. 14, No. 4, 815-838 (2020). MSC: 90C30 90C59 90C60 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Optim. Lett. 14, No. 4, 815--838 (2020; Zbl 1439.90066) Full Text: DOI
Birgin, Ernesto G.; Gómez, Walter; Haeser, Gabriel; Mito, Leonardo M.; Santos, Daiana O. An augmented Lagrangian algorithm for nonlinear semidefinite programming applied to the covering problem. (English) Zbl 1449.90278 Comput. Appl. Math. 39, No. 1, Paper No. 10, 21 p. (2020). MSC: 90C22 90C46 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Comput. Appl. Math. 39, No. 1, Paper No. 10, 21 p. (2020; Zbl 1449.90278) Full Text: DOI
Birgin, E. G.; Krejić, N.; Martínez, J. M. Iteration and evaluation complexity for the minimization of functions whose computation is intrinsically inexact. (English) Zbl 1461.65130 Math. Comput. 89, No. 321, 253-278 (2020). MSC: 65K05 65K10 90C30 90C90 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Math. Comput. 89, No. 321, 253--278 (2020; Zbl 1461.65130) Full Text: DOI
Birgin, E. G.; Martínez, J. M. A Newton-like method with mixed factorizations and cubic regularization for unconstrained minimization. (English) Zbl 1422.90070 Comput. Optim. Appl. 73, No. 3, 707-753 (2019). MSC: 90C53 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Comput. Optim. Appl. 73, No. 3, 707--753 (2019; Zbl 1422.90070) Full Text: DOI
Birgin, E. G.; Martínez, J. M. On regularization and active-set methods with complexity for constrained optimization. (English) Zbl 1390.90512 SIAM J. Optim. 28, No. 2, 1367-1395 (2018). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, SIAM J. Optim. 28, No. 2, 1367--1395 (2018; Zbl 1390.90512) Full Text: DOI
Birgin, E. G.; Krejić, N.; Martínez, J. M. On the employment of inexact restoration for the minimization of functions whose evaluation is subject to errors. (English) Zbl 1383.65060 Math. Comput. 87, No. 311, 1307-1326 (2018). MSC: 65K05 90C30 90C15 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Math. Comput. 87, No. 311, 1307--1326 (2018; Zbl 1383.65060) Full Text: DOI
Birgin, E. G.; Haeser, G.; Ramos, Alberto Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points. (English) Zbl 1411.90316 Comput. Optim. Appl. 69, No. 1, 51-75 (2018). MSC: 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Comput. Optim. Appl. 69, No. 1, 51--75 (2018; Zbl 1411.90316) Full Text: DOI
Birgin, E. G.; Krejić, N.; Martínez, J. M. On the minimization of possibly discontinuous functions by means of pointwise approximations. (English) Zbl 1386.90142 Optim. Lett. 11, No. 8, 1623-1637 (2017). MSC: 90C30 90C59 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Optim. Lett. 11, No. 8, 1623--1637 (2017; Zbl 1386.90142) Full Text: DOI
Birgin, E. G.; Lobato, R. D.; Martínez, J. M. A nonlinear programming model with implicit variables for packing ellipsoids. (English) Zbl 1406.90115 J. Glob. Optim. 68, No. 3, 467-499 (2017). MSC: 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., J. Glob. Optim. 68, No. 3, 467--499 (2017; Zbl 1406.90115) Full Text: DOI
Birgin, E. G.; Martínez, J. M. The use of quadratic regularization with a cubic descent condition for unconstrained optimization. (English) Zbl 1370.90260 SIAM J. Optim. 27, No. 2, 1049-1074 (2017). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, SIAM J. Optim. 27, No. 2, 1049--1074 (2017; Zbl 1370.90260) Full Text: DOI
Birgin, Ernesto G.; Lobato, Rafael D.; Martínez, José Mario Constrained optimization with integer and continuous variables using inexact restoration and projected gradients. (English) Zbl 1392.90104 Bull. Comput. Appl. Math. 4, No. 2, 55-70 (2016). MSC: 90C30 90C11 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Bull. Comput. Appl. Math. 4, No. 2, 55--70 (2016; Zbl 1392.90104) Full Text: Link
Birgin, E. G.; Bueno, L. F.; Martínez, J. M. Sequential equality-constrained optimization for nonlinear programming. (English) Zbl 1357.90150 Comput. Optim. Appl. 65, No. 3, 699-721 (2016). MSC: 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Comput. Optim. Appl. 65, No. 3, 699--721 (2016; Zbl 1357.90150) Full Text: DOI
Birgin, E. G.; Lobato, R. D.; Martínez, J. M. Packing ellipsoids by nonlinear optimization. (English) Zbl 1377.90088 J. Glob. Optim. 65, No. 4, 709-743 (2016). MSC: 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., J. Glob. Optim. 65, No. 4, 709--743 (2016; Zbl 1377.90088) Full Text: DOI
Birgin, E. G.; Martínez, J. M. On the application of an augmented Lagrangian algorithm to some portfolio problems. (English) Zbl 1338.91126 EURO J. Comput. Optim. 4, No. 1, 79-92 (2016). MSC: 91G10 90C06 90C30 91-08 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, EURO J. Comput. Optim. 4, No. 1, 79--92 (2016; Zbl 1338.91126) Full Text: DOI
Birgin, E. G.; Martínez, J. M.; Prudente, L. F. Optimality properties of an augmented Lagrangian method on infeasible problems. (English) Zbl 1341.90127 Comput. Optim. Appl. 60, No. 3, 609-631 (2015). MSC: 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Comput. Optim. Appl. 60, No. 3, 609--631 (2015; Zbl 1341.90127) Full Text: DOI
Birgin, E. G.; Bueno, L. F.; Martínez, J. M. Assessing the reliability of general-purpose inexact restoration methods. (English) Zbl 1310.90088 J. Comput. Appl. Math. 282, 1-16 (2015). MSC: 90C26 90C06 65K05 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., J. Comput. Appl. Math. 282, 1--16 (2015; Zbl 1310.90088) Full Text: DOI
Birgin, E. G.; Martínez, J. M.; Prudente, L. F. Augmented Lagrangians with possible infeasibility and finite termination for global nonlinear programming. (English) Zbl 1321.90106 J. Glob. Optim. 58, No. 2, 207-242 (2014). MSC: 90C26 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., J. Glob. Optim. 58, No. 2, 207--242 (2014; Zbl 1321.90106) Full Text: DOI
Birgin, Ernesto G.; Bustamante, Luis Henrique; Callisaya, Hector Flores; Martínez, Jose Mario Packing circles within ellipses. (English) Zbl 1270.90048 Int. Trans. Oper. Res. 20, No. 3, 365-389 (2013). MSC: 90C26 90C27 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Int. Trans. Oper. Res. 20, No. 3, 365--389 (2013; Zbl 1270.90048) Full Text: DOI
Birgin, Ernesto G.; Gentil, Jan M. Evaluating bound-constrained minimization software. (English) Zbl 1258.90067 Comput. Optim. Appl. 53, No. 2, 347-373 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Gentil}, Comput. Optim. Appl. 53, No. 2, 347--373 (2012; Zbl 1258.90067) Full Text: DOI
Birgin, Ernesto G.; Fernández, Damián; Martínez, J. M. The boundedness of penalty parameters in an augmented Lagrangian method with constrained subproblems. (English) Zbl 1247.90247 Optim. Methods Softw. 27, No. 6, 1001-1024 (2012). MSC: 90C30 49K99 65K05 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Optim. Methods Softw. 27, No. 6, 1001--1024 (2012; Zbl 1247.90247) Full Text: DOI
Birgin, Ernesto G.; Martínez, J. M. Augmented Lagrangian method with nonmonotone penalty parameters for constrained optimization. (English) Zbl 1244.90216 Comput. Optim. Appl. 51, No. 3, 941-965 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Comput. Optim. Appl. 51, No. 3, 941--965 (2012; Zbl 1244.90216) Full Text: DOI
Birgin, E. G.; Bueno, L. F.; Krejić, N.; Martínez, J. M. Low order-value approach for solving var-constrained optimization problems. (English) Zbl 1269.65052 J. Glob. Optim. 51, No. 4, 715-742 (2011). MSC: 65K05 91G10 90C30 91G60 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., J. Glob. Optim. 51, No. 4, 715--742 (2011; Zbl 1269.65052) Full Text: DOI
Birgin, Ernesto G.; Castelani, Emerson V.; Martinez, André L. M.; Martínez, J. M. Outer trust-region method for constrained optimization. (English) Zbl 1222.90059 J. Optim. Theory Appl. 150, No. 1, 142-155 (2011). MSC: 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., J. Optim. Theory Appl. 150, No. 1, 142--155 (2011; Zbl 1222.90059) Full Text: DOI
Birgin, Ernesto G.; Gozzi, Erico M.; Resende, Mauricio G. C.; Silva, Ricardo M. A. Continuous GRASP with a local active-set method for bound-constrained global optimization. (English) Zbl 1198.90323 J. Glob. Optim. 48, No. 2, 289-310 (2010). MSC: 90C26 90C59 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., J. Glob. Optim. 48, No. 2, 289--310 (2010; Zbl 1198.90323) Full Text: DOI
Birgin, E. G.; Floudas, C. A.; Martínez, J. M. Global minimization using an augmented Lagrangian method with variable lower-level constraints. (English) Zbl 1198.90322 Math. Program. 125, No. 1 (A), 139-162 (2010). MSC: 90C26 90C30 65K05 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Math. Program. 125, No. 1 (A), 139--162 (2010; Zbl 1198.90322) Full Text: DOI
Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L. Second-order negative-curvature methods for box-constrained and general constrained optimization. (English) Zbl 1187.90265 Comput. Optim. Appl. 45, No. 2, 209-236 (2010). MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{R. Andreani} et al., Comput. Optim. Appl. 45, No. 2, 209--236 (2010; Zbl 1187.90265) Full Text: DOI Link
Andretta, Marina; Birgin, Ernesto G.; Martínez, J. M. Partial spectral projected gradient method with active-set strategy for linearly constrained optimization. (English) Zbl 1185.65096 Numer. Algorithms 53, No. 1, 23-52 (2010). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 PDFBibTeX XMLCite \textit{M. Andretta} et al., Numer. Algorithms 53, No. 1, 23--52 (2010; Zbl 1185.65096) Full Text: DOI
Birgin, Ernesto G.; Gentil, Jan M. New and improved results for packing identical unitary radius circles within triangles, rectangles and strips. (English) Zbl 1178.90283 Comput. Oper. Res. 37, No. 7, 1318-1327 (2010). MSC: 90C27 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Gentil}, Comput. Oper. Res. 37, No. 7, 1318--1327 (2010; Zbl 1178.90283) Full Text: DOI
Birgin, E. G.; Martínez, J. M. Improving ultimate convergence of an augmented Lagrangian method. (English) Zbl 1211.90222 Optim. Methods Softw. 23, No. 2, 177-195 (2008). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Optim. Methods Softw. 23, No. 2, 177--195 (2008; Zbl 1211.90222) Full Text: DOI
Birgin, E. G.; Martínez, J. M. Structured minimal-memory inexact quasi-Newton method and secant preconditioners for augmented Lagrangian optimization. (English) Zbl 1147.90412 Comput. Optim. Appl. 39, No. 1, 1-16 (2008). MSC: 90C53 65H10 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Comput. Optim. Appl. 39, No. 1, 1--16 (2008; Zbl 1147.90412) Full Text: DOI
Birgin, E. G.; Sobral, F. N. C. Minimizing the object dimensions in circle and sphere packing problems. (English) Zbl 1177.90332 Comput. Oper. Res. 35, No. 7, 2357-2375 (2008). MSC: 90C27 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{F. N. C. Sobral}, Comput. Oper. Res. 35, No. 7, 2357--2375 (2008; Zbl 1177.90332) Full Text: DOI
Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L. Augmented Lagrangian methods under the constant positive linear dependence constraint qualification. (English) Zbl 1163.90041 Math. Program. 111, No. 1-2 (B), 5-32 (2008). MSC: 90C46 65K10 90C30 PDFBibTeX XMLCite \textit{R. Andreani} et al., Math. Program. 111, No. 1--2 (B), 5--32 (2008; Zbl 1163.90041) Full Text: DOI
Birgin, E. G.; Martínez, J. M.; Nishihara, F. H.; Ronconi, D. P. Orthogonal packing of rectangular items within arbitrary convex regions by nonlinear optimization. (English) Zbl 1110.90072 Comput. Oper. Res. 33, No. 12, 3535-3548 (2006). MSC: 90C25 90C27 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Comput. Oper. Res. 33, No. 12, 3535--3548 (2006; Zbl 1110.90072) Full Text: DOI
Birgin, E. G.; Martínez, J. M. Local convergence of an inexact-restoration method and numerical experiments. (English) Zbl 1116.90094 J. Optim. Theory Appl. 127, No. 2, 229-247 (2005). MSC: 90C30 90C59 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, J. Optim. Theory Appl. 127, No. 2, 229--247 (2005; Zbl 1116.90094) Full Text: DOI
Marina, Andretta; Birgin, Ernesto G.; Martínez, José Mario Practical active-set Euclidian trust-region method with spectral projected gradients for bound-constrained minimization. (English) Zbl 1079.65070 Optimization 54, No. 3, 305-325 (2005). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{A. Marina} et al., Optimization 54, No. 3, 305--325 (2005; Zbl 1079.65070) Full Text: DOI
Birgin, E. G.; Castillo, R. A.; Martínez, J. M. Numerical comparison of augmented Lagrangian algorithms for nonconvex problems. (English) Zbl 1101.90066 Comput. Optim. Appl. 31, No. 1, 31-55 (2005). MSC: 90C30 90C26 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Comput. Optim. Appl. 31, No. 1, 31--55 (2005; Zbl 1101.90066) Full Text: DOI
Birgin, E. G.; Martínez, J. M.; Ronconi, D. P. Optimizing the packing of cylinders into a rectangular container: A nonlinear approach. (English) Zbl 1067.90133 Eur. J. Oper. Res. 160, No. 1, 19-33 (2005). MSC: 90C27 90C25 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Eur. J. Oper. Res. 160, No. 1, 19--33 (2005; Zbl 1067.90133) Full Text: DOI