Andreani, Roberto; Fukuda, Ellen H.; Haeser, Gabriel; Santos, Daiana O.; Secchin, Leonardo D. Optimality conditions for nonlinear second-order cone programming and symmetric cone programming. (English) Zbl 07794706 J. Optim. Theory Appl. 200, No. 1, 1-33 (2024). MSC: 90Cxx 49-XX PDFBibTeX XMLCite \textit{R. Andreani} et al., J. Optim. Theory Appl. 200, No. 1, 1--33 (2024; Zbl 07794706) Full Text: DOI
Andreani, Roberto; Haeser, Gabriel; Mito, Leonardo M.; Ramírez, Héctor; Silveira, Thiago P. First- and second-order optimality conditions for second-order cone and semidefinite programming under a constant rank condition. (English) Zbl 1522.90251 Math. Program. 202, No. 1-2 (A), 473-513 (2023). MSC: 90C46 90C30 90C22 PDFBibTeX XMLCite \textit{R. Andreani} et al., Math. Program. 202, No. 1--2 (A), 473--513 (2023; Zbl 1522.90251) Full Text: DOI arXiv
Andreani, Roberto; Haeser, Gabriel; Mito, Leonardo M.; Ramírez, Héctor Sequential constant rank constraint qualifications for nonlinear semidefinite programming with algorithmic applications. (English) Zbl 1528.90179 Set-Valued Var. Anal. 31, No. 1, Paper No. 3, 27 p. (2023). Reviewer: Paulo Mbunga (Kiel) MSC: 90C22 90C46 90C30 90C26 PDFBibTeX XMLCite \textit{R. Andreani} et al., Set-Valued Var. Anal. 31, No. 1, Paper No. 3, 27 p. (2023; Zbl 1528.90179) Full Text: DOI arXiv
Andreani, R.; Custódio, A. L.; Raydan, M. Using first-order information in direct multisearch for multiobjective optimization. (English) Zbl 1509.90177 Optim. Methods Softw. 37, No. 6, 2135-2156 (2022). MSC: 90C29 90C56 PDFBibTeX XMLCite \textit{R. Andreani} et al., Optim. Methods Softw. 37, No. 6, 2135--2156 (2022; Zbl 1509.90177) Full Text: DOI arXiv
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
Andreani, Roberto; Haeser, Gabriel; Mito, Leonardo M.; Ramírez, C. Héctor; Silveira, Thiago P. Global convergence of algorithms under constant rank conditions for nonlinear second-order cone programming. (English) Zbl 1502.90192 J. Optim. Theory Appl. 195, No. 1, 42-78 (2022). MSC: 90C46 90C30 PDFBibTeX XMLCite \textit{R. Andreani} et al., J. Optim. Theory Appl. 195, No. 1, 42--78 (2022; Zbl 1502.90192) Full Text: DOI arXiv
Andreani, Roberto; Gómez, Walter; Haeser, Gabriel; Mito, Leonardo M.; Ramos, Alberto On optimality conditions for nonlinear conic programming. (English) Zbl 1502.90191 Math. Oper. Res. 47, No. 3, 2160-2185 (2022). Reviewer: I. M. Stancu-Minasian (Bucureşti) MSC: 90C46 90C48 90C30 90C22 PDFBibTeX XMLCite \textit{R. Andreani} et al., Math. Oper. Res. 47, No. 3, 2160--2185 (2022; Zbl 1502.90191) Full Text: DOI
Andreani, R.; Oviedo, H.; Raydan, M.; Secchin, L. D. An extended delayed weighted gradient algorithm for solving strongly convex optimization problems. (English) Zbl 1492.65158 J. Comput. Appl. Math. 416, Article ID 114525, 19 p. (2022). MSC: 65K05 90C25 90C06 PDFBibTeX XMLCite \textit{R. Andreani} et al., J. Comput. Appl. Math. 416, Article ID 114525, 19 p. (2022; Zbl 1492.65158) Full Text: DOI
Oviedo, Harry; Andreani, Roberto; Raydan, Marcos A family of optimal weighted conjugate-gradient-type methods for strictly convex quadratic minimization. (English) Zbl 1492.65170 Numer. Algorithms 90, No. 3, 1225-1252 (2022). MSC: 65K05 90C20 90C25 90C30 PDFBibTeX XMLCite \textit{H. Oviedo} et al., Numer. Algorithms 90, No. 3, 1225--1252 (2022; Zbl 1492.65170) Full Text: DOI
Andreani, Roberto; Carvalho, Rui M.; Secchin, Leonardo D.; Silva, Gilson N. Convergence of quasi-Newton methods for solving constrained generalized equations. (English) Zbl 1493.90232 ESAIM, Control Optim. Calc. Var. 28, Paper No. 32, 24 p. (2022). MSC: 90C53 65K15 PDFBibTeX XMLCite \textit{R. Andreani} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 32, 24 p. (2022; Zbl 1493.90232) Full Text: DOI
Andreani, Roberto; Haeser, Gabriel; Mito, Leonardo M.; Ramos, Alberto; Secchin, Leonardo D. On the best achievable quality of limit points of augmented Lagrangian schemes. (English) Zbl 1495.65075 Numer. Algorithms 90, No. 2, 851-877 (2022); correction ibid. 90, No. 2, 879-880 (2022). MSC: 65K05 90C46 90C30 PDFBibTeX XMLCite \textit{R. Andreani} et al., Numer. Algorithms 90, No. 2, 851--877 (2022; Zbl 1495.65075) Full Text: DOI
Andreani, R.; Haeser, G.; Schuverdt, M. L.; Secchin, L. D.; Silva, P. J. S. On scaled stopping criteria for a safeguarded augmented Lagrangian method with theoretical guarantees. (English) Zbl 1484.65119 Math. Program. Comput. 14, No. 1, 121-146 (2022). MSC: 65K05 90C30 90C46 PDFBibTeX XMLCite \textit{R. Andreani} et al., Math. Program. Comput. 14, No. 1, 121--146 (2022; Zbl 1484.65119) Full Text: DOI
Andreani, R.; Fukuda, E. H.; Haeser, G.; Ramírez, H.; Santos, D. O.; Silva, P. J. S.; Silveira, T. P. Erratum to: “New constraint qualifications and optimality conditions for second order cone programs”. (English) Zbl 1487.90516 Set-Valued Var. Anal. 30, No. 1, 329-333 (2022). MSC: 90C22 90C46 90C30 PDFBibTeX XMLCite \textit{R. Andreani} et al., Set-Valued Var. Anal. 30, No. 1, 329--333 (2022; Zbl 1487.90516) Full Text: DOI
Andreani, R.; Haeser, G.; Mito, L. M.; Ramírez, H.; Santos, D. O.; Silveira, T. P. Naive constant rank-type constraint qualifications for multifold second-order cone programming and semidefinite programming. (English) Zbl 1489.90103 Optim. Lett. 16, No. 2, 589-610 (2022). MSC: 90C22 90C46 PDFBibTeX XMLCite \textit{R. Andreani} et al., Optim. Lett. 16, No. 2, 589--610 (2022; Zbl 1489.90103) Full Text: DOI arXiv
Andreani, R.; Fukuda, E. H.; Haeser, G.; Santos, D. O.; Secchin, L. D. On the use of Jordan algebras for improving global convergence of an augmented Lagrangian method in nonlinear semidefinite programming. (English) Zbl 1482.90137 Comput. Optim. Appl. 79, No. 3, 633-648 (2021). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 90C22 90C30 PDFBibTeX XMLCite \textit{R. Andreani} et al., Comput. Optim. Appl. 79, No. 3, 633--648 (2021; Zbl 1482.90137) Full Text: DOI
Andreani, Roberto; Haeser, Gabriel; Viana, Daiana S. Optimality conditions and global convergence for nonlinear semidefinite programming. (English) Zbl 1434.90121 Math. Program. 180, No. 1-2 (A), 203-235 (2020). MSC: 90C22 90C46 90C30 PDFBibTeX XMLCite \textit{R. Andreani} et al., Math. Program. 180, No. 1--2 (A), 203--235 (2020; Zbl 1434.90121) Full Text: DOI
Andreani, R.; Haeser, G.; Secchin, Leonardo D.; Silva, P. J. S. New sequential optimality conditions for mathematical programs with complementarity constraints and algorithmic consequences. (English) Zbl 1427.90258 SIAM J. Optim. 29, No. 4, 3201-3230 (2019). MSC: 90C30 90C33 90C46 65K05 PDFBibTeX XMLCite \textit{R. Andreani} et al., SIAM J. Optim. 29, No. 4, 3201--3230 (2019; Zbl 1427.90258) Full Text: DOI
Andreani, Roberto; Fazzio, Nadia S.; Schuverdt, Maria L.; Secchin, Leonardo D. A sequential optimality condition related to the quasi-normality constraint qualification and its algorithmic consequences. (English) Zbl 1451.90166 SIAM J. Optim. 29, No. 1, 743-766 (2019). Reviewer: Miguel Angel Goberna (Alicante) MSC: 90C46 90C30 65K05 PDFBibTeX XMLCite \textit{R. Andreani} et al., SIAM J. Optim. 29, No. 1, 743--766 (2019; Zbl 1451.90166) Full Text: DOI
Andreani, Roberto; Martínez, José Mario; Ramos, Alberto; Silva, Paulo J. S. Strict constraint qualifications and sequential optimality conditions for constrained optimization. (English) Zbl 1516.90091 Math. Oper. Res. 43, No. 3, 693-717 (2018). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 90C30 90C46 49K99 65K05 PDFBibTeX XMLCite \textit{R. Andreani} et al., Math. Oper. Res. 43, No. 3, 693--717 (2018; Zbl 1516.90091) Full Text: DOI Link
Andreani, Roberto; Secchin, Leonardo D.; Silva, Paulo J. S. Convergence properties of a second order augmented Lagrangian method for mathematical programs with complementarity constraints. (English) Zbl 1406.90114 SIAM J. Optim. 28, No. 3, 2574-2600 (2018). MSC: 90C30 90C33 65K05 49M37 PDFBibTeX XMLCite \textit{R. Andreani} et al., SIAM J. Optim. 28, No. 3, 2574--2600 (2018; Zbl 1406.90114) Full Text: DOI
Andreani, Roberto; Behling, Roger; Haeser, Gabriel; Silva, Paulo J. S. On second-order optimality conditions in nonlinear optimization. (English) Zbl 1365.90263 Optim. Methods Softw. 32, No. 1, 22-38 (2017). MSC: 90C46 90C30 PDFBibTeX XMLCite \textit{R. Andreani} et al., Optim. Methods Softw. 32, No. 1, 22--38 (2017; Zbl 1365.90263) Full Text: DOI
Andreani, R.; Martínez, J. M.; Santos, L. T. Newton’s method may fail to recognize proximity to optimal points in constrained optimization. (English) Zbl 1356.90137 Math. Program. 160, No. 1-2 (A), 547-555 (2016). MSC: 90C30 90C46 90C55 PDFBibTeX XMLCite \textit{R. Andreani} et al., Math. Program. 160, No. 1--2 (A), 547--555 (2016; Zbl 1356.90137) Full Text: DOI
Andreani, R.; Júdice, J. J.; Martínez, J. M.; Martini, T. Feasibility problems with complementarity constraints. (English) Zbl 1346.90762 Eur. J. Oper. Res. 249, No. 1, 41-54 (2016). MSC: 90C30 90C33 PDFBibTeX XMLCite \textit{R. Andreani} et al., Eur. J. Oper. Res. 249, No. 1, 41--54 (2016; Zbl 1346.90762) Full Text: DOI
Andreani, Roberto; Martínez, José Mário; Ramos, Alberto; Silva, Paulo J. S. A cone-continuity constraint qualification and algorithmic consequences. (English) Zbl 1329.90162 SIAM J. Optim. 26, No. 1, 96-110 (2016). MSC: 90C46 90C30 PDFBibTeX XMLCite \textit{R. Andreani} et al., SIAM J. Optim. 26, No. 1, 96--110 (2016; Zbl 1329.90162) Full Text: DOI
Andreani, R.; Martínez, J. M.; Santos, L. T.; Svaiter, B. F. On the behaviour of constrained optimization methods when Lagrange multipliers do not exist. (English) Zbl 1282.90170 Optim. Methods Softw. 29, No. 3, 646-657 (2014). MSC: 90C30 90C46 90C55 PDFBibTeX XMLCite \textit{R. Andreani} et al., Optim. Methods Softw. 29, No. 3, 646--657 (2014; Zbl 1282.90170) Full Text: DOI
Andreani, Roberto; Fukuda, Ellen H.; Silva, Paulo J. S. A Gauss-Newton approach for solving constrained optimization problems using differentiable exact penalties. (English) Zbl 1281.90053 J. Optim. Theory Appl. 156, No. 2, 417-449 (2013). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{R. Andreani} et al., J. Optim. Theory Appl. 156, No. 2, 417--449 (2013; Zbl 1281.90053) Full Text: DOI
Andreani, Roberto; Haeser, Gabriel; Schuverdt, María Laura; Silva, Paulo J. S. A relaxed constant positive linear dependence constraint qualification and applications. (English) Zbl 1262.90162 Math. Program. 135, No. 1-2 (A), 255-273 (2012). MSC: 90C30 49K99 65K05 PDFBibTeX XMLCite \textit{R. Andreani} et al., Math. Program. 135, No. 1--2 (A), 255--273 (2012; Zbl 1262.90162) Full Text: DOI
Andreani, R.; Santos, S. A.; Shirabayashi, W. V. I. Newton-type interior-point methods for solving generalized complementarity problems in polyhedral cones. (English) Zbl 1232.65083 Optimization 60, No. 7-9, 1171-1191 (2011). Reviewer: Bülent Karasözen (Houston) MSC: 65K05 90C51 90C33 PDFBibTeX XMLCite \textit{R. Andreani} et al., Optimization 60, No. 7--9, 1171--1191 (2011; Zbl 1232.65083) Full Text: DOI
Andreani, R.; Júdice, J. J.; Martínez, J. M.; Patrício, J. On the natural merit function for solving complementarity problems. (English) Zbl 1236.90127 Math. Program. 130, No. 1 (A), 211-223 (2011). Reviewer: Igor V. Konnov (Kazan) MSC: 90C33 90C46 90C30 PDFBibTeX XMLCite \textit{R. Andreani} et al., Math. Program. 130, No. 1 (A), 211--223 (2011; Zbl 1236.90127) Full Text: DOI
Andreani, Roberto; Haeser, Gabriel; Martínez, J. M. On sequential optimality conditions for smooth constrained optimization. (English) Zbl 1225.90123 Optimization 60, No. 4-6, 627-641 (2011). MSC: 90C30 49K99 65K05 PDFBibTeX XMLCite \textit{R. Andreani} et al., Optimization 60, No. 4--6, 627--641 (2011; Zbl 1225.90123) Full Text: DOI
Andreani, Roberto; Júdice, Joaquim J.; Martínez, José Mario; Patrício, Joao A projected-gradient interior-point algorithm for complementarity problems. (English) Zbl 1229.65097 Numer. Algorithms 57, No. 4, 457-485 (2011). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C33 PDFBibTeX XMLCite \textit{R. Andreani} et al., Numer. Algorithms 57, No. 4, 457--485 (2011; Zbl 1229.65097) Full Text: DOI
Andreani, R.; Echagüe, C. E.; Schuverdt, M. L. Constant-rank condition and second-order constraint qualification. (English) Zbl 1202.90235 J. Optim. Theory Appl. 146, No. 2, 255-266 (2010). MSC: 90C30 PDFBibTeX XMLCite \textit{R. Andreani} et al., J. Optim. Theory Appl. 146, No. 2, 255--266 (2010; Zbl 1202.90235) 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
Andreani, R.; Castro, S. L. C.; Chela, J. L.; Friedlander, A.; Santos, S. A. An inexact-restoration method for nonlinear bilevel programming problems. (English) Zbl 1170.90484 Comput. Optim. Appl. 43, No. 3, 307-328 (2009). MSC: 90C30 PDFBibTeX XMLCite \textit{R. Andreani} et al., Comput. Optim. Appl. 43, No. 3, 307--328 (2009; Zbl 1170.90484) Full Text: DOI
Andreani, R.; Martínez, J. M.; Martínez, L.; Yano, F. S. Low order-value optimization and applications. (English) Zbl 1169.90448 J. Glob. Optim. 43, No. 1, 1-22 (2009). MSC: 90C30 PDFBibTeX XMLCite \textit{R. Andreani} et al., J. Glob. Optim. 43, No. 1, 1--22 (2009; Zbl 1169.90448) Full Text: DOI
Andreani, R.; Friedlander, A.; Mello, M. P.; Santos, S. A. Box-constrained minimization reformulations of complementarity problems in second-order cones. (English) Zbl 1138.90032 J. Glob. Optim. 40, No. 4, 505-527 (2008). MSC: 90C33 90C30 PDFBibTeX XMLCite \textit{R. Andreani} et al., J. Glob. Optim. 40, No. 4, 505--527 (2008; Zbl 1138.90032) 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
Andreani, Roberto; Martínez, José Mario; Martínez, Leandro; Yano, Flávio Continuous optimization methods for structure alignments. (English) Zbl 1135.90043 Math. Program. 112, No. 1 (B), 93-124 (2008). MSC: 90C30 90C53 PDFBibTeX XMLCite \textit{R. Andreani} et al., Math. Program. 112, No. 1 (B), 93--124 (2008; Zbl 1135.90043) Full Text: DOI
Andreani, R.; Martínez, J. M.; Schuverdt, M. L. On second-order optimality conditions for nonlinear programming. (English) Zbl 1172.90490 Optimization 56, No. 5-6, 529-542 (2007). MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{R. Andreani} et al., Optimization 56, No. 5--6, 529--542 (2007; Zbl 1172.90490) Full Text: DOI
Andreani, R.; Martinez, J. M.; Schuverdt, M. L. On the relation between constant positive linear dependence condition and quasinormality constraint qualification. (English) Zbl 1125.90058 J. Optim. Theory Appl. 125, No. 2, 473-483 (2005). MSC: 90C46 PDFBibTeX XMLCite \textit{R. Andreani} et al., J. Optim. Theory Appl. 125, No. 2, 473--483 (2005; Zbl 1125.90058) Full Text: DOI
Andreani, Roberto; Martínez, José Mario On the solution of bounded and unbounded mixed complementarity problems. (English) Zbl 1049.90096 Optimization 50, No. 3-4, 265-278 (2001). MSC: 90C33 49J40 PDFBibTeX XMLCite \textit{R. Andreani} and \textit{J. M. Martínez}, Optimization 50, No. 3--4, 265--278 (2001; Zbl 1049.90096) Full Text: DOI
Andreani, R.; Martínez, J. M.; Svaiter, B. F. On the regularization of mixed complementarity problems. (English) Zbl 0972.90077 Numer. Funct. Anal. Optimization 21, No. 5-6, 589-600 (2000). Reviewer: Walter Gomez Bofill (Cottbus) MSC: 90C33 90C30 49J20 PDFBibTeX XMLCite \textit{R. Andreani} et al., Numer. Funct. Anal. Optim. 21, No. 5--6, 589--600 (2000; Zbl 0972.90077) Full Text: DOI
Andreani, R.; Martínez, J. The reformulation of nonlinear complementarity problems using the Fischer-Burmeister function. (English) Zbl 0972.90075 Appl. Math. Lett. 12, No. 5, 7-12 (1999). Reviewer: Walter Gomez Bofill (Cottbus) MSC: 90C33 49M37 90C30 49J40 PDFBibTeX XMLCite \textit{R. Andreani} and \textit{J. Martínez}, Appl. Math. Lett. 12, No. 5, 7--12 (1999; Zbl 0972.90075) Full Text: DOI
Andreani, Roberto; Martínez, José Mario On the solution of the extended linear complementarity problem. (English) Zbl 0932.90044 Linear Algebra Appl. 281, No. 1-3, 247-257 (1998). MSC: 90C33 90C30 PDFBibTeX XMLCite \textit{R. Andreani} and \textit{J. M. Martínez}, Linear Algebra Appl. 281, No. 1--3, 247--257 (1998; Zbl 0932.90044) Full Text: DOI
Andreani, R.; Friedlander, A.; Martínez, J. M. Solution of finite-dimensional variational inequalities using smooth optimization with simple bounds. (English) Zbl 0892.90169 J. Optimization Theory Appl. 94, No. 3, 635-657 (1997). MSC: 90C33 PDFBibTeX XMLCite \textit{R. Andreani} et al., J. Optim. Theory Appl. 94, No. 3, 635--657 (1997; Zbl 0892.90169) Full Text: DOI