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## Gonzaga, Clovis C.

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 Author ID: gonzaga.clovis-c Published as: Gonzaga, Clovis C.; Gonzaga, Clóvis C.; Gonzaga, C. C.; Gonzaga, C.; Gonzaga, Clovis; Gonzaga, Clóvis External Links: Wikidata
 Documents Indexed: 39 Publications since 1972, including 1 Book
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#### Co-Authors

 15 single-authored 7 Karas, Elizabeth W. 2 Bonnans, Joseph Frédéric 2 Matioli, Luiz Carlos 2 Polak, Elijah (Lucien) 2 Ribeiro, Ademir Alves 2 Tapia, Richard A. 1 Behling, Roger 1 Bessa, Marcelo R. 1 Cardia, Marli 1 Castillo, Rómulo A. 1 de Geus, Klaus 1 Detzel, Daniel H. M. 1 Feijoo, B. 1 Gilbert, Jean Charles 1 Haeser, Gabriel 1 Lara, Hugo J. 1 Marcilio, Débora Cintia 1 Oening, Ana Paula 1 Periçaro, Gislaine A. 1 Persiano, R. M. 1 Raupp, Fernanda M. P. 1 Rossetto, Diane R. 1 Schneider, Ruana M. 1 Todd, Michael J. 1 Trahan, R. 1 Vanti, Márcia 1 Yuan, Jin Yun
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#### Serials

 10 Mathematical Programming. Series A. Series B 9 SIAM Journal on Optimization 3 Journal of Optimization Theory and Applications 2 Computational Optimization and Applications 2 Numerical Linear Algebra with Applications 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 IEEE Transactions on Automatic Control 1 Mathematics of Operations Research 1 SIAM Journal on Control and Optimization 1 Optimization 1 Algorithmica 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 SIAM Review 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo
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#### Fields

 37 Operations research, mathematical programming (90-XX) 18 Numerical analysis (65-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX)

#### Citations contained in zbMATH Open

35 Publications have been cited 499 times in 376 Documents Cited by Year
Path-following methods for linear programming. Zbl 0763.90063
Gonzaga, Clovis C.
1992
A globally convergent filter method for nonlinear programming. Zbl 1079.90129
Gonzaga, Clóvis C.; Karas, Elizabeth; Vanti, Márcia
2003
An improved algorithm for optimization problems with functional inequality constraints. Zbl 0433.65033
Gonzaga, C.; Polak, E.; Trahan, R.
1980
Conical projection algorithms for linear programming. Zbl 0667.90064
Gonzaga, Clovis C.
1989
Polynomial affine algorithms for linear programming. Zbl 0777.90027
Gonzaga, Clovis C.
1990
On constraint dropping schemes and optimality functions for a class of outer approximations algorithms. Zbl 0412.90059
Gonzaga, C.; Polak, E.
1979
Convergence of interior point algorithms for the monotone linear complementarity problem. Zbl 0846.90109
Bonnans, J. Frédéric; Gonzaga, Clovis C.
1996
Large step path-following methods for linear programming. I: Barrier function method. Zbl 0754.90035
Gonzaga, Clovis C.
1991
An algorithm for solving linear programming problems in $$O(n^ 3L)$$ operations. Zbl 0691.90053
Gonzaga, Clovis C.
1989
Global convergence of filter methods for nonlinear programming. Zbl 1169.49034
Ribeiro, Ademir A.; Karas, Elizabeth W.; Gonzaga, Clóvis C.
2008
Search directions for interior linear-programming methods. Zbl 0718.90064
Gonzaga, Clovis C.
1991
A nonlinear programming algorithm based on non-coercive penalty functions. Zbl 1023.90061
Gonzaga, Clovis C.; Castillo, Rómulo A.
2003
Large step path-following methods for linear programming. II: Potential reduction method. Zbl 0754.90036
Gonzaga, Clovis C.
1991
Fine tuning Nesterov’s steepest descent algorithm for differentiable convex programming. Zbl 1297.90118
Gonzaga, Clóvis C.; Karas, Elizabeth W.
2013
On the steepest descent algorithm for quadratic functions. Zbl 1360.90183
Gonzaga, Clóvis C.; Schneider, Ruana M.
2016
An $$O(\sqrt n L)$$-iteration large-step primal-dual affine algorithm for linear programming. Zbl 0783.90071
Gonzaga, C. C.; Todd, M. J.
1992
Examples of ill-behaved central paths in convex optimization. Zbl 1079.90099
Gilbert, J. Charles; Gonzaga, Clovis C.; Karas, Elizabeth
2005
The largest step path following algorithm for monotone linear complementarity problems. Zbl 0882.90122
Gonzaga, Clovis C.
1997
Interior point algorithms for linear programming with inequality constraints. Zbl 0744.90052
Gonzaga, Clovis C.
1991
Generation of degenerate linear programming problems. Zbl 1146.90038
Gonzaga, C. C.
2007
Complexity of predictor-corrector algorithms for LCP based on a large neighborhood of the central path. Zbl 0980.90092
Gonzaga, Clovis C.
1999
On the convergence of the Mizuno-Todd-Ye algorithm to the analytic center of the solution set. Zbl 0870.90081
Gonzaga, Clovis C.; Tapia, Richard A.
1997
An optimal algorithm for constrained differentiable convex optimization. Zbl 1288.65087
Gonzaga, Clóvis C.; Karas, Elizabeth W.; Rossetto, Diane R.
2013
Fast convergence of the simplified largest step path following algorithm. Zbl 0881.90114
Gonzaga, Clovis C.; Bonnans, J. Frédéric
1997
Local convergence of filter methods for equality constrained non-linear programming. Zbl 1221.49058
Karas, Elizabeth W.; Gonzaga, Clóvis C.; Ribeiro, Ademir A.
2010
A new family of penalties for augmented Lagrangian methods. Zbl 1212.65228
Matioli, L. C.; Gonzaga, C. C.
2008
Two facts on the convergence of the Cauchy algorithm. Zbl 1168.90611
Gonzaga, C. C.
2000
On the quadratic convergence of the simplified Mizuno-Todd-Ye algorithm for linear programming. Zbl 0878.65042
Gonzaga, Clovis C.; Tapia, Richard A.
1997
A note on properties of condition numbers. Zbl 0881.15006
Gonzaga, Clovis C.; Lara, Hugo J.
1997
On lower bound updates in primal potential reduction methods for linear programming. Zbl 0754.90034
Gonzaga, Clovis C.
1991
A center cutting plane algorithm for a likelihood estimate problem. Zbl 0994.90103
Raupp, Fernanda; Gonzaga, Clóvis
2002
On the complexity of linear programming. Zbl 0847.90100
Gonzaga, Clovis C.
1995
Properties of the central points in linear programming problems. Zbl 1137.90611
Gonzaga, Clovis C.; Cardia, Marli
2004
On the worst case performance of the steepest descent algorithm for quadratic functions. Zbl 1349.90763
Gonzaga, Clóvis C.
2016
Primal-dual relationship between Levenberg-Marquardt and central trajectories for linearly constrained convex optimization. Zbl 1311.90098
Behling, Roger; Gonzaga, Clovis; Haeser, Gabriel
2014
On the steepest descent algorithm for quadratic functions. Zbl 1360.90183
Gonzaga, Clóvis C.; Schneider, Ruana M.
2016
On the worst case performance of the steepest descent algorithm for quadratic functions. Zbl 1349.90763
Gonzaga, Clóvis C.
2016
Primal-dual relationship between Levenberg-Marquardt and central trajectories for linearly constrained convex optimization. Zbl 1311.90098
Behling, Roger; Gonzaga, Clovis; Haeser, Gabriel
2014
Fine tuning Nesterov’s steepest descent algorithm for differentiable convex programming. Zbl 1297.90118
Gonzaga, Clóvis C.; Karas, Elizabeth W.
2013
An optimal algorithm for constrained differentiable convex optimization. Zbl 1288.65087
Gonzaga, Clóvis C.; Karas, Elizabeth W.; Rossetto, Diane R.
2013
Local convergence of filter methods for equality constrained non-linear programming. Zbl 1221.49058
Karas, Elizabeth W.; Gonzaga, Clóvis C.; Ribeiro, Ademir A.
2010
Global convergence of filter methods for nonlinear programming. Zbl 1169.49034
Ribeiro, Ademir A.; Karas, Elizabeth W.; Gonzaga, Clóvis C.
2008
A new family of penalties for augmented Lagrangian methods. Zbl 1212.65228
Matioli, L. C.; Gonzaga, C. C.
2008
Generation of degenerate linear programming problems. Zbl 1146.90038
Gonzaga, C. C.
2007
Examples of ill-behaved central paths in convex optimization. Zbl 1079.90099
Gilbert, J. Charles; Gonzaga, Clovis C.; Karas, Elizabeth
2005
Properties of the central points in linear programming problems. Zbl 1137.90611
Gonzaga, Clovis C.; Cardia, Marli
2004
A globally convergent filter method for nonlinear programming. Zbl 1079.90129
Gonzaga, Clóvis C.; Karas, Elizabeth; Vanti, Márcia
2003
A nonlinear programming algorithm based on non-coercive penalty functions. Zbl 1023.90061
Gonzaga, Clovis C.; Castillo, Rómulo A.
2003
A center cutting plane algorithm for a likelihood estimate problem. Zbl 0994.90103
Raupp, Fernanda; Gonzaga, Clóvis
2002
Two facts on the convergence of the Cauchy algorithm. Zbl 1168.90611
Gonzaga, C. C.
2000
Complexity of predictor-corrector algorithms for LCP based on a large neighborhood of the central path. Zbl 0980.90092
Gonzaga, Clovis C.
1999
The largest step path following algorithm for monotone linear complementarity problems. Zbl 0882.90122
Gonzaga, Clovis C.
1997
On the convergence of the Mizuno-Todd-Ye algorithm to the analytic center of the solution set. Zbl 0870.90081
Gonzaga, Clovis C.; Tapia, Richard A.
1997
Fast convergence of the simplified largest step path following algorithm. Zbl 0881.90114
Gonzaga, Clovis C.; Bonnans, J. Frédéric
1997
On the quadratic convergence of the simplified Mizuno-Todd-Ye algorithm for linear programming. Zbl 0878.65042
Gonzaga, Clovis C.; Tapia, Richard A.
1997
A note on properties of condition numbers. Zbl 0881.15006
Gonzaga, Clovis C.; Lara, Hugo J.
1997
Convergence of interior point algorithms for the monotone linear complementarity problem. Zbl 0846.90109
Bonnans, J. Frédéric; Gonzaga, Clovis C.
1996
On the complexity of linear programming. Zbl 0847.90100
Gonzaga, Clovis C.
1995
Path-following methods for linear programming. Zbl 0763.90063
Gonzaga, Clovis C.
1992
An $$O(\sqrt n L)$$-iteration large-step primal-dual affine algorithm for linear programming. Zbl 0783.90071
Gonzaga, C. C.; Todd, M. J.
1992
Large step path-following methods for linear programming. I: Barrier function method. Zbl 0754.90035
Gonzaga, Clovis C.
1991
Search directions for interior linear-programming methods. Zbl 0718.90064
Gonzaga, Clovis C.
1991
Large step path-following methods for linear programming. II: Potential reduction method. Zbl 0754.90036
Gonzaga, Clovis C.
1991
Interior point algorithms for linear programming with inequality constraints. Zbl 0744.90052
Gonzaga, Clovis C.
1991
On lower bound updates in primal potential reduction methods for linear programming. Zbl 0754.90034
Gonzaga, Clovis C.
1991
Polynomial affine algorithms for linear programming. Zbl 0777.90027
Gonzaga, Clovis C.
1990
Conical projection algorithms for linear programming. Zbl 0667.90064
Gonzaga, Clovis C.
1989
An algorithm for solving linear programming problems in $$O(n^ 3L)$$ operations. Zbl 0691.90053
Gonzaga, Clovis C.
1989
An improved algorithm for optimization problems with functional inequality constraints. Zbl 0433.65033
Gonzaga, C.; Polak, E.; Trahan, R.
1980
On constraint dropping schemes and optimality functions for a class of outer approximations algorithms. Zbl 0412.90059
Gonzaga, C.; Polak, E.
1979
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#### Cited by 468 Authors

 17 Martínez, José Mario 14 Ye, Yinyu 13 Polak, Elijah (Lucien) 13 Roos, Cornelis 12 Gonzaga, Clovis C. 12 Todd, Michael J. 11 Anstreicher, Kurt M. 10 Karas, Elizabeth W. 10 Terlaky, Tamás 7 Potra, Florian-Alexandru 7 Pu, Dingguo 7 Sturm, Jos F. 7 Vial, Jean-Philippe 7 Zhang, Shuzhong 7 Zhu, Detong 6 Birgin, Ernesto G. 6 Gondzio, Jacek 6 Ribeiro, Ademir Alves 6 Wang, Changyu 5 Ahookhosh, Masoud 5 Bueno, Luís Felipe 5 Costa, M. Fernanda P. 5 den Hertog, Dick 5 Freund, Robert M. 5 Goffin, Jean-Louis 5 Gu, Chao 5 Mayne, David Q. 5 Rocha, Ana Maria A. C. 4 Andreani, Roberto 4 El Ghami, Mohamed 4 Fernandes, Edite M. G. P. 4 Goldfarb, Donald 4 Haeser, Gabriel 4 Jansen, Benjamin 4 Monteiro, Renato D. C. 4 Neumaier, Arnold 4 Teo, Kok Lay 4 Tits, André L. 4 Tsuchiya, Takashi 3 Bonnans, Joseph Frédéric 3 Carrasco, Miguel Angel 3 Echebest, Nélida E. 3 Feng, Enmin 3 Friedlander, Ana 3 Huang, Yakui 3 Koenker, Roger W. 3 Krejić, Nataša 3 Li, Xueqian 3 Liao, Li-Zhi 3 Liu, Hongwei 3 Liu, Meiling 3 Liu, Qian 3 Mitchell, John E. 3 Polyak, Roman A. 3 Royset, Johannes O. 3 Schuverdt, María Laura 3 Shanno, David F. 3 Shen, Chungen 3 Sun, Wenyu 3 Tseng, Paul 3 Wu, Soon-Yi 3 Zanni, Luca 2 Alvarez, Felipe 2 Auslender, Alfred 2 Bai, Yanqin 2 Balbo, Antonio Roberto 2 Bosch, Robert Alexander Mark 2 Cho, Gyeong-Mi 2 Cominetti, Roberto 2 Dai, Yu-Hong 2 de la Sen, Manuel 2 de Pierro, Alvaro Rodolfo 2 di Serafino, Daniela 2 Francisco, Juliano B. 2 Fukushima, Masao 2 Gilbert, Jean Charles 2 Gong, Zhaohua 2 Güler, Osman 2 Herty, Michael Matthias 2 Huang, Mingxia 2 Huang, Siming 2 Ibaraki, Toshihide 2 Jennings, Leslie Stephen 2 Jian, Jinbao 2 Lian, Shujun 2 Liu, Bingzhuang 2 Liu, Changhe 2 Liu, Chongyang 2 Liu, Xinwei 2 Maciejewski, Anthony A. 2 Marcilio, Débora Cintia 2 Matioli, Luiz Carlos 2 Melman, Aaron 2 Menickelly, Matt 2 Monteiro, M. Teresa T. 2 Nepomuceno, Leonardo 2 Nye, William T. 2 Oening, Ana Paula 2 Periçaro, Gislaine A. 2 Petra, Cosmin G. ...and 368 more Authors
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#### Cited in 67 Serials

 75 Mathematical Programming. Series A. Series B 46 Journal of Optimization Theory and Applications 25 Computational Optimization and Applications 18 Optimization 17 Journal of Computational and Applied Mathematics 15 Applied Mathematics and Computation 13 European Journal of Operational Research 10 Optimization Methods & Software 9 Annals of Operations Research 9 Linear Algebra and its Applications 8 Operations Research Letters 7 Journal of Global Optimization 7 RAIRO. Operations Research 7 Optimization Letters 6 Automatica 6 Applied Numerical Mathematics 6 Numerical Algorithms 5 Mathematics of Computation 5 Mathematical Problems in Engineering 5 Journal of Systems Science and Complexity 4 Applied Mathematics and Optimization 4 Algorithmica 4 Computational and Applied Mathematics 3 International Journal of Systems Science 3 Computers & Operations Research 3 International Journal of Computer Mathematics 3 SIAM Journal on Optimization 3 Mathematical Methods of Operations Research 3 Journal of Applied Mathematics and Computing 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Cybernetics and Systems 2 Acta Mathematicae Applicatae Sinica. English Series 2 Mathematical and Computer Modelling 2 Journal of Parallel and Distributed Computing 2 Top 2 Optimization and Engineering 1 Discrete Applied Mathematics 1 International Journal of Control 1 Inverse Problems 1 Journal of Econometrics 1 Mathematical Programming 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Statistica Neerlandica 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 Bulletin of the Iranian Mathematical Society 1 Statistical Science 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Bulletin of the American Mathematical Society. New Series 1 ZOR. Zeitschrift für Operations Research 1 International Transactions in Operational Research 1 Vietnam Journal of Mathematics 1 Journal of Inequalities and Applications 1 The ANZIAM Journal 1 Journal of Applied Mathematics 1 Analysis in Theory and Applications 1 Acta Numerica 1 ISRN Applied Mathematics 1 Fuzzy Information and Engineering 1 Journal of the Operations Research Society of China 1 Mathematics 1 SIAM Journal on Applied Algebra and Geometry
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#### Cited in 27 Fields

 348 Operations research, mathematical programming (90-XX) 119 Numerical analysis (65-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 16 Systems theory; control (93-XX) 14 Computer science (68-XX) 5 Statistics (62-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX)

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