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## Curtis, Frank E.

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 Author ID: curtis.frank-e Published as: Curtis, Frank E.; Curtis, Frank; Curtis, F. Homepage: https://coral.ise.lehigh.edu/frankecurtis/ External Links: MGP · ORCID · ResearchGate · dblp
 Documents Indexed: 45 Publications since 2004, including 1 Book
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#### Co-Authors

 1 single-authored 16 Robinson, Daniel P. 7 Nocedal, Jorge 5 Wächter, Andreas 3 Burke, James V. 3 Byrd, Richard H. 3 Samadi, Mohammadreza 2 Chen, Tianyi 2 Gould, Nicholas Ian Mark 2 Guo, Wei 2 Han, Zheng 2 Jiang, Hao 2 Overton, Michael L. 2 Que, Xiaocun 2 Raghunathan, Arvind U. 2 Schenk, Olaf 2 Wang, Jiashan 2 Zhou, Baoyu 1 Berahas, Albert S. 1 Bottou, Léon 1 Bresinsky, Henrik 1 Drew, John H. 1 Gao, Wenbo 1 Goldfarb, Donald 1 Hashimoto, Hiroyuki 1 Huber, Johannes B. 1 Jaggi, Martin 1 Johnson, Travis C. 1 Kincaid, Rex K. 1 Li, Chi-Kwong 1 Lubberts, Zachary 1 Ma, Chenxin 1 Mitchell, Tim 1 Pragel, Daniel 1 Royer, Clément W. 1 Srebro, Nathan 1 Stückrad, Jürgen 1 Takáč, Martin 1 Takaguchi, Yusuke 1 Terlaky, Tamás 1 Toint, Philippe L. 1 Wright, Stephen J. 1 Zavala, Victor M.
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#### Serials

 14 SIAM Journal on Optimization 7 Mathematical Programming. Series A. Series B 6 Optimization Methods & Software 5 IMA Journal of Numerical Analysis 2 Computational Optimization and Applications 2 Mathematical Programming Computation 1 Rocky Mountain Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 American Journal of Mathematical and Management Sciences 1 Applied Mathematics Letters 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 Optimization Letters 1 Springer Proceedings in Mathematics & Statistics
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#### Fields

 40 Operations research, mathematical programming (90-XX) 34 Numerical analysis (65-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 3 Systems theory; control (93-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

33 Publications have been cited 400 times in 319 Documents Cited by Year
Optimization methods for large-scale machine learning. Zbl 1397.65085
Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge
2018
A trust region algorithm with a worst-case iteration complexity of $$\mathcal{O}(\epsilon ^{-3/2})$$ for nonconvex optimization. Zbl 1360.49020
2017
Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
2010
A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization. Zbl 1246.49031
Curtis, Frank E.; Overton, Michael L.
2012
An inexact SQP method for equality constrained optimization. Zbl 1158.49035
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
2008
Curtis, Frank E.; Que, Xiaocun
2013
A globally convergent primal-dual active-set framework for large-scale convex quadratic optimization. Zbl 1309.90072
Curtis, Frank E.; Han, Zheng; Robinson, Daniel P.
2015
A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles. Zbl 1364.90359
Curtis, Frank E.; Mitchell, Tim; Overton, Michael L.
2017
An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
2010
An adaptive augmented Lagrangian method for large-scale constrained optimization. Zbl 1323.49015
Curtis, Frank E.; Jiang, Hao; Robinson, Daniel P.
2015
A matrix-free algorithm for equality constrained optimization problems with rank-deficient Jacobians. Zbl 1195.49035
Curtis, Frank E.; Nocedal, Jorge; Wächter, Andreas
2009
An interior-point algorithm for large-scale nonlinear optimization with inexact step computations. Zbl 1220.49018
Curtis, Frank E.; Schenk, Olaf; Wächter, Andreas
2010
A penalty-interior-point algorithm for nonlinear constrained optimization. Zbl 1269.49045
Curtis, Frank E.
2012
Exploiting negative curvature in deterministic and stochastic optimization. Zbl 1417.49036
Curtis, Frank E.; Robinson, Daniel P.
2019
An inexact sequential quadratic optimization algorithm for nonlinear optimization. Zbl 1311.90184
Curtis, Frank E.; Johnson, Travis C.; Robinson, Daniel P.; Wächter, Andreas
2014
A sequential quadratic optimization algorithm with rapid infeasibility detection. Zbl 1301.49069
Burke, James V.; Curtis, Frank E.; Wang, Hao
2014
A quasi-Newton algorithm for nonconvex, nonsmooth optimization with global convergence guarantees. Zbl 1333.49042
Curtis, Frank E.; Que, Xiaocun
2015
Adaptive augmented Lagrangian methods: algorithms and practical numerical experience. Zbl 1339.49023
Curtis, Frank E.; Gould, Nicholas I. M.; Jiang, Hao; Robinson, Daniel P.
2016
A reduced-space algorithm for minimizing $$\ell_1$$-regularized convex functions. Zbl 1369.90103
Chen, Tianyi; Curtis, Frank E.; Robinson, Daniel P.
2017
Flexible penalty functions for nonlinear constrained optimization. Zbl 1156.65058
Curtis, Frank E.; Nocedal, Jorge
2008
An interior-point trust-funnel algorithm for nonlinear optimization. Zbl 1355.65075
Curtis, Frank E.; Gould, Nicholas I. M.; Robinson, Daniel P.; Toint, Philippe L.
2017
A note on the implementation of an interior-point algorithm for nonlinear optimization with inexact step computations. Zbl 1255.49043
Curtis, Frank E.; Huber, Johannes; Schenk, Olaf; Wächter, Andreas
2012
Handling nonpositive curvature in a limited memory steepest descent method. Zbl 1433.90123
Curtis, Frank E.; Guo, Wei
2016
Central groupoids, central digraphs, and zero-one matrices $$A$$ satisfying $$A^{2}=J$$. Zbl 1046.15014
Curtis, Frank; Drew, John; Li, Chi-Kwong; Pragel, Daniel
2004
ADMM for multiaffine constrained optimization. Zbl 1428.90132
Gao, Wenbo; Goldfarb, Donald; Curtis, Frank E.
2020
A sequential algorithm for solving nonlinear optimization problems with chance constraints. Zbl 1396.90052
Curtis, Frank E.; Wächter, Andreas; Zavala, Victor M.
2018
Concise complexity analyses for trust region methods. Zbl 1412.90139
Curtis, Frank E.; Lubberts, Zachary; Robinson, Daniel P.
2018
Fast market clearing algorithms. Zbl 1420.91368
Raghunathan, Arvind U.; Curtis, Frank E.; Takaguchi, Yusuke; Hashimoto, Hiroyuki
2018
FarRSA for $$\ell_1$$-regularized convex optimization: local convergence and numerical experience. Zbl 1390.49040
Chen, Tianyi; Curtis, Frank E.; Robinson, Daniel P.
2018
$$R$$-linear convergence of limited memory steepest descent. Zbl 1407.65061
Curtis, Frank E.; Guo, Wei
2018
Globally convergent primal-dual active-set methods with inexact subproblem solves. Zbl 1354.49064
Curtis, Frank E.; Han, Zheng
2016
Iterative reweighted linear least squares for exact penalty subproblems on product sets. Zbl 1356.49059
Burke, James V.; Curtis, Frank E.; Wang, Hao; Wang, Jiashan
2015
Solving nearly-separable quadratic optimization problems as nonsmooth equations. Zbl 1370.90169
Curtis, Frank E.; Raghunathan, Arvind U.
2017
ADMM for multiaffine constrained optimization. Zbl 1428.90132
Gao, Wenbo; Goldfarb, Donald; Curtis, Frank E.
2020
Exploiting negative curvature in deterministic and stochastic optimization. Zbl 1417.49036
Curtis, Frank E.; Robinson, Daniel P.
2019
Optimization methods for large-scale machine learning. Zbl 1397.65085
Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge
2018
A sequential algorithm for solving nonlinear optimization problems with chance constraints. Zbl 1396.90052
Curtis, Frank E.; Wächter, Andreas; Zavala, Victor M.
2018
Concise complexity analyses for trust region methods. Zbl 1412.90139
Curtis, Frank E.; Lubberts, Zachary; Robinson, Daniel P.
2018
Fast market clearing algorithms. Zbl 1420.91368
Raghunathan, Arvind U.; Curtis, Frank E.; Takaguchi, Yusuke; Hashimoto, Hiroyuki
2018
FarRSA for $$\ell_1$$-regularized convex optimization: local convergence and numerical experience. Zbl 1390.49040
Chen, Tianyi; Curtis, Frank E.; Robinson, Daniel P.
2018
$$R$$-linear convergence of limited memory steepest descent. Zbl 1407.65061
Curtis, Frank E.; Guo, Wei
2018
A trust region algorithm with a worst-case iteration complexity of $$\mathcal{O}(\epsilon ^{-3/2})$$ for nonconvex optimization. Zbl 1360.49020
2017
A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles. Zbl 1364.90359
Curtis, Frank E.; Mitchell, Tim; Overton, Michael L.
2017
A reduced-space algorithm for minimizing $$\ell_1$$-regularized convex functions. Zbl 1369.90103
Chen, Tianyi; Curtis, Frank E.; Robinson, Daniel P.
2017
An interior-point trust-funnel algorithm for nonlinear optimization. Zbl 1355.65075
Curtis, Frank E.; Gould, Nicholas I. M.; Robinson, Daniel P.; Toint, Philippe L.
2017
Solving nearly-separable quadratic optimization problems as nonsmooth equations. Zbl 1370.90169
Curtis, Frank E.; Raghunathan, Arvind U.
2017
Adaptive augmented Lagrangian methods: algorithms and practical numerical experience. Zbl 1339.49023
Curtis, Frank E.; Gould, Nicholas I. M.; Jiang, Hao; Robinson, Daniel P.
2016
Handling nonpositive curvature in a limited memory steepest descent method. Zbl 1433.90123
Curtis, Frank E.; Guo, Wei
2016
Globally convergent primal-dual active-set methods with inexact subproblem solves. Zbl 1354.49064
Curtis, Frank E.; Han, Zheng
2016
A globally convergent primal-dual active-set framework for large-scale convex quadratic optimization. Zbl 1309.90072
Curtis, Frank E.; Han, Zheng; Robinson, Daniel P.
2015
An adaptive augmented Lagrangian method for large-scale constrained optimization. Zbl 1323.49015
Curtis, Frank E.; Jiang, Hao; Robinson, Daniel P.
2015
A quasi-Newton algorithm for nonconvex, nonsmooth optimization with global convergence guarantees. Zbl 1333.49042
Curtis, Frank E.; Que, Xiaocun
2015
Iterative reweighted linear least squares for exact penalty subproblems on product sets. Zbl 1356.49059
Burke, James V.; Curtis, Frank E.; Wang, Hao; Wang, Jiashan
2015
An inexact sequential quadratic optimization algorithm for nonlinear optimization. Zbl 1311.90184
Curtis, Frank E.; Johnson, Travis C.; Robinson, Daniel P.; Wächter, Andreas
2014
A sequential quadratic optimization algorithm with rapid infeasibility detection. Zbl 1301.49069
Burke, James V.; Curtis, Frank E.; Wang, Hao
2014
Curtis, Frank E.; Que, Xiaocun
2013
A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization. Zbl 1246.49031
Curtis, Frank E.; Overton, Michael L.
2012
A penalty-interior-point algorithm for nonlinear constrained optimization. Zbl 1269.49045
Curtis, Frank E.
2012
A note on the implementation of an interior-point algorithm for nonlinear optimization with inexact step computations. Zbl 1255.49043
Curtis, Frank E.; Huber, Johannes; Schenk, Olaf; Wächter, Andreas
2012
Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
2010
An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
2010
An interior-point algorithm for large-scale nonlinear optimization with inexact step computations. Zbl 1220.49018
Curtis, Frank E.; Schenk, Olaf; Wächter, Andreas
2010
A matrix-free algorithm for equality constrained optimization problems with rank-deficient Jacobians. Zbl 1195.49035
Curtis, Frank E.; Nocedal, Jorge; Wächter, Andreas
2009
An inexact SQP method for equality constrained optimization. Zbl 1158.49035
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
2008
Flexible penalty functions for nonlinear constrained optimization. Zbl 1156.65058
Curtis, Frank E.; Nocedal, Jorge
2008
Central groupoids, central digraphs, and zero-one matrices $$A$$ satisfying $$A^{2}=J$$. Zbl 1046.15014
Curtis, Frank; Drew, John; Li, Chi-Kwong; Pragel, Daniel
2004
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#### Cited by 586 Authors

 18 Curtis, Frank E. 16 Robinson, Daniel P. 10 Martínez, José Mario 7 Birgin, Ernesto G. 7 Toint, Philippe L. 6 Santos, Sandra Augusta 5 Gould, Nicholas Ian Mark 5 Grapiglia, Geovani Nunes 5 Nocedal, Jorge 5 Zhu, Detong 4 Armand, Paul 4 Bellavia, Stefania 4 Berahas, Albert S. 4 Biegler, Lorenz T. 4 Cartis, Coralia 4 Dai, Yu-Hong 4 Gratton, Serge 4 Haber, Eldad 4 Kungurtsev, Vyacheslav 4 Menickelly, Matt 4 Pasupathy, Raghu 4 Royer, Clément W. 4 Wächter, Andreas 4 Wild, Stefan M. 3 Byrd, Richard H. 3 Cai, Li 3 Cheng, Wanyou 3 di Serafino, Daniela 3 Diehl, Moritz Mathias 3 Fasano, Giovanni 3 Helou, Elias Salomão 3 Jian, Jinbao 3 Jin, Bangti 3 Larson, Jeffrey 3 Liu, Xinwei 3 Nimana, Nimit 3 Oberman, Adam M. 3 Palagi, Laura 3 Petrot, Narin 3 Rinaldi, Francesco 3 Scutari, Gesualdo 3 Shen, Chungen 3 Simões, Lucas Eduardo Azevedo 3 Tang, Chunming 3 Wang, Zhujun 3 Wright, Stephen J. 3 Ye, Jane J. 3 Yuan, Ya-xiang 2 Akyildiz, Ömer Deniz 2 Benner, Peter 2 Benoist, Joël 2 Bergou, El Houcine 2 Biros, George 2 Bollapragada, Raghu 2 Boykett, Tim 2 Carlberg, Kevin T. 2 Carmon, Yair 2 Chen, Tianyi 2 Chung, Julianne M. 2 Chung, Matthias 2 De los Reyes, Juan Carlos 2 Diouane, Youssef 2 Dolgopolik, Maxim Vladimirovich 2 Duchi, John C. 2 Dussault, Jean-Pierre 2 Gilbert, Jean Charles 2 Gill, Philip E. 2 Gould, Nick I. M. 2 Gros, Sebastien 2 Guo, Chuanhao 2 Guo, Tiande 2 Hao, Wenrui 2 Hare, Warren L. 2 Hashemi, Fatemeh S. 2 Hicken, Jason E. 2 Hu, Qingjie 2 Jain, Prateek 2 Jofré, Alejandro 2 Kirches, Christian 2 Krejić, Nataša 2 Kuhlmann, Renke 2 Lei, Yunwen 2 Mahdavi-Amiri, Nezam 2 Maleknia, Morteza 2 Meng, Kaiwen 2 Míguez, Joaquín 2 Mitchell, Tim 2 Morini, Benedetta 2 Necoara, Ion 2 Nesterov, Yurii 2 Netrapalli, Praneeth 2 Omheni, Riadh 2 Overton, Michael L. 2 Potschka, Andreas 2 Prudente, Leandro F. 2 Pu, Dingguo 2 Qiu, Songqiang 2 Que, Xiaocun 2 Quirynen, Rien 2 Raydan, Marcos ...and 486 more Authors
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#### Cited in 98 Serials

 49 SIAM Journal on Optimization 28 Computational Optimization and Applications 24 Optimization Methods & Software 22 Mathematical Programming. Series A. Series B 17 Journal of Optimization Theory and Applications 9 Inverse Problems 9 Journal of Global Optimization 7 Journal of Machine Learning Research (JMLR) 5 Numerical Algorithms 4 Automatica 4 Journal of Industrial and Management Optimization 4 Optimization Letters 4 EURO Journal on Computational Optimization 4 Journal of the Operations Research Society of China 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational Physics 3 Mathematics of Computation 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 SIAM Journal on Matrix Analysis and Applications 3 Journal of Scientific Computing 3 European Journal of Operational Research 3 SIAM Review 3 ETNA. Electronic Transactions on Numerical Analysis 3 Mathematical Methods of Operations Research 3 Acta Numerica 3 Mathematical Programming Computation 2 Optimal Control Applications & Methods 2 Applied Numerical Mathematics 2 Optimization 2 Journal of Complexity 2 Journal of Mathematical Imaging and Vision 2 SIAM Journal on Scientific Computing 2 Applied and Computational Harmonic Analysis 2 Optimization and Engineering 2 Journal of Applied Mathematics and Computing 2 Statistics and Computing 2 Stochastic Systems 1 Computers & Mathematics with Applications 1 Discrete Mathematics 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Optimization 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Equations 1 Journal of Mathematical Economics 1 Mathematics of Operations Research 1 Meccanica 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 Bulletin of the Korean Mathematical Society 1 Operations Research Letters 1 Computational Mechanics 1 Applied Mathematics Letters 1 Computational Mathematics and Modeling 1 Annals of Operations Research 1 Machine Learning 1 Computational Statistics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Top 1 Advances in Computational Mathematics 1 Annals of Mathematics and Artificial Intelligence 1 Complexity 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Chaos 1 Data Mining and Knowledge Discovery 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 International Journal of Applied Mathematics and Computer Science 1 Quantitative Finance 1 Foundations of Computational Mathematics 1 Journal of Systems Science and Complexity 1 4OR 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Journal of Statistical Theory and Practice 1 Electronic Journal of Statistics 1 The Annals of Applied Statistics 1 SIAM Journal on Imaging Sciences 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Set-Valued and Variational Analysis 1 Statistics Surveys 1 Science China. Mathematics 1 Numerical Algebra, Control and Optimization 1 Communications in Applied and Industrial Mathematics 1 Journal of Dynamics and Games 1 SIAM/ASA Journal on Uncertainty Quantification 1 Research in the Mathematical Sciences 1 Journal of Nonlinear and Variational Analysis 1 Japanese Journal of Statistics and Data Science 1 SN Operations Research Forum
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#### Cited in 34 Fields

 239 Operations research, mathematical programming (90-XX) 162 Numerical analysis (65-XX) 91 Calculus of variations and optimal control; optimization (49-XX) 55 Computer science (68-XX) 29 Statistics (62-XX) 18 Systems theory; control (93-XX) 11 Partial differential equations (35-XX) 9 Information and communication theory, circuits (94-XX) 8 Operator theory (47-XX) 6 Probability theory and stochastic processes (60-XX) 6 Biology and other natural sciences (92-XX) 5 Mechanics of deformable solids (74-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Ordinary differential equations (34-XX) 3 Combinatorics (05-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)