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Author ID: curtis.frank-e Recent zbMATH articles by "Curtis, Frank E."
Published as: Curtis, Frank E.; Curtis, Frank; Curtis, F.
Further Spellings: Curtis, Frank Edward
Homepage: https://coral.ise.lehigh.edu/frankecurtis/
External Links: MGP · ORCID · Google Scholar · ResearchGate · Twitter · dblp

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 604 times in 485 Documents Cited by Year
Optimization methods for large-scale machine learning. Zbl 1397.65085
Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge
221
2018
A trust region algorithm with a worst-case iteration complexity of \(\mathcal{O}(\epsilon ^{-3/2})\) for nonconvex optimization. Zbl 1360.49020
Curtis, Frank E.; Robinson, Daniel P.; Samadi, Mohammadreza
44
2017
A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization. Zbl 1246.49031
Curtis, Frank E.; Overton, Michael L.
34
2012
Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
29
2010
An inexact SQP method for equality constrained optimization. Zbl 1158.49035
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
27
2008
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.
25
2017
An adaptive gradient sampling algorithm for non-smooth optimization. Zbl 1284.49036
Curtis, Frank E.; Que, Xiaocun
23
2013
An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
19
2010
An adaptive augmented Lagrangian method for large-scale constrained optimization. Zbl 1323.49015
Curtis, Frank E.; Jiang, Hao; Robinson, Daniel P.
18
2015
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.
16
2015
An interior-point algorithm for large-scale nonlinear optimization with inexact step computations. Zbl 1220.49018
Curtis, Frank E.; Schenk, Olaf; Wächter, Andreas
11
2010
A matrix-free algorithm for equality constrained optimization problems with rank-deficient Jacobians. Zbl 1195.49035
Curtis, Frank E.; Nocedal, Jorge; Wächter, Andreas
10
2009
A sequential quadratic optimization algorithm with rapid infeasibility detection. Zbl 1301.49069
Burke, James V.; Curtis, Frank E.; Wang, Hao
10
2014
An inexact sequential quadratic optimization algorithm for nonlinear optimization. Zbl 1311.90184
Curtis, Frank E.; Johnson, Travis C.; Robinson, Daniel P.; Wächter, Andreas
10
2014
A penalty-interior-point algorithm for nonlinear constrained optimization. Zbl 1269.49045
Curtis, Frank E.
10
2012
A quasi-Newton algorithm for nonconvex, nonsmooth optimization with global convergence guarantees. Zbl 1333.49042
Curtis, Frank E.; Que, Xiaocun
9
2015
Exploiting negative curvature in deterministic and stochastic optimization. Zbl 1417.49036
Curtis, Frank E.; Robinson, Daniel P.
9
2019
A sequential algorithm for solving nonlinear optimization problems with chance constraints. Zbl 1396.90052
Curtis, Frank E.; Wächter, Andreas; Zavala, Victor M.
8
2018
Flexible penalty functions for nonlinear constrained optimization. Zbl 1156.65058
Curtis, Frank E.; Nocedal, Jorge
8
2008
A reduced-space algorithm for minimizing \(\ell_1\)-regularized convex functions. Zbl 1369.90103
Chen, Tianyi; Curtis, Frank E.; Robinson, Daniel P.
8
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.
7
2016
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.
5
2017
Handling nonpositive curvature in a limited memory steepest descent method. Zbl 1433.90123
Curtis, Frank E.; Guo, Wei
5
2016
ADMM for multiaffine constrained optimization. Zbl 1428.90132
Gao, Wenbo; Goldfarb, Donald; Curtis, Frank E.
4
2020
Concise complexity analyses for trust region methods. Zbl 1412.90139
Curtis, Frank E.; Lubberts, Zachary; Robinson, Daniel P.
4
2018
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
4
2012
\(R\)-linear convergence of limited memory steepest descent. Zbl 1407.65061
Curtis, Frank E.; Guo, Wei
3
2018
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
3
2004
A self-correcting variable-metric algorithm framework for nonsmooth optimization. Zbl 1462.65065
Curtis, Frank E.; Robinson, Daniel P.; Zhou, Baoyu
2
2020
FarRSA for \(\ell_1\)-regularized convex optimization: local convergence and numerical experience. Zbl 1390.49040
Chen, Tianyi; Curtis, Frank E.; Robinson, Daniel P.
2
2018
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
2
2015
Trust-region Newton-CG with strong second-order complexity guarantees for nonconvex optimization. Zbl 1461.90107
Curtis, Frank E.; Robinson, Daniel P.; Royer, Clément W.; Wright, Stephen J.
2
2021
An inexact regularized Newton framework with a worst-case iteration complexity of \(\mathscr{O}(\varepsilon^{-3/2})\) for nonconvex optimization. Zbl 1464.65062
Curtis, Frank E.; Robinson, Daniel P.; Samadi, Mohammadreza
2
2019
An accelerated communication-efficient primal-dual optimization framework for structured machine learning. Zbl 1464.90059
Ma, Chenxin; Jaggi, Martin; Curtis, Frank E.; Srebro, Nathan; Takáč, Martin
2
2021
Inexact sequential quadratic optimization with penalty parameter updates within the QP solver. Zbl 1447.90075
Burke, James V.; Curtis, Frank E.; Wang, Hao; Wang, Jiashan
1
2020
Globally convergent primal-dual active-set methods with inexact subproblem solves. Zbl 1354.49064
Curtis, Frank E.; Han, Zheng
1
2016
A subspace acceleration method for minimization involving a group sparsity-inducing regularizer. Zbl 1491.90157
Curtis, Frank E.; Dai, Yutong; Robinson, Daniel P.
1
2022
Steplength selection in interior-point methods for quadratic programming. Zbl 1161.90452
Curtis, Frank; Nocedal, Jorge
1
2007
Regional complexity analysis of algorithms for nonconvex smooth optimization. Zbl 1465.90069
Curtis, Frank E.; Robinson, Daniel P.
1
2021
Solving nearly-separable quadratic optimization problems as nonsmooth equations. Zbl 1370.90169
Curtis, Frank E.; Raghunathan, Arvind U.
1
2017
Fast market clearing algorithms. Zbl 1420.91368
Raghunathan, Arvind U.; Curtis, Frank E.; Takaguchi, Yusuke; Hashimoto, Hiroyuki
1
2018
A fully stochastic second-order trust region method. Zbl 1502.90115
Curtis, Frank E.; Shi, Rui
1
2022
A subspace acceleration method for minimization involving a group sparsity-inducing regularizer. Zbl 1491.90157
Curtis, Frank E.; Dai, Yutong; Robinson, Daniel P.
1
2022
A fully stochastic second-order trust region method. Zbl 1502.90115
Curtis, Frank E.; Shi, Rui
1
2022
Trust-region Newton-CG with strong second-order complexity guarantees for nonconvex optimization. Zbl 1461.90107
Curtis, Frank E.; Robinson, Daniel P.; Royer, Clément W.; Wright, Stephen J.
2
2021
An accelerated communication-efficient primal-dual optimization framework for structured machine learning. Zbl 1464.90059
Ma, Chenxin; Jaggi, Martin; Curtis, Frank E.; Srebro, Nathan; Takáč, Martin
2
2021
Regional complexity analysis of algorithms for nonconvex smooth optimization. Zbl 1465.90069
Curtis, Frank E.; Robinson, Daniel P.
1
2021
ADMM for multiaffine constrained optimization. Zbl 1428.90132
Gao, Wenbo; Goldfarb, Donald; Curtis, Frank E.
4
2020
A self-correcting variable-metric algorithm framework for nonsmooth optimization. Zbl 1462.65065
Curtis, Frank E.; Robinson, Daniel P.; Zhou, Baoyu
2
2020
Inexact sequential quadratic optimization with penalty parameter updates within the QP solver. Zbl 1447.90075
Burke, James V.; Curtis, Frank E.; Wang, Hao; Wang, Jiashan
1
2020
Exploiting negative curvature in deterministic and stochastic optimization. Zbl 1417.49036
Curtis, Frank E.; Robinson, Daniel P.
9
2019
An inexact regularized Newton framework with a worst-case iteration complexity of \(\mathscr{O}(\varepsilon^{-3/2})\) for nonconvex optimization. Zbl 1464.65062
Curtis, Frank E.; Robinson, Daniel P.; Samadi, Mohammadreza
2
2019
Optimization methods for large-scale machine learning. Zbl 1397.65085
Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge
221
2018
A sequential algorithm for solving nonlinear optimization problems with chance constraints. Zbl 1396.90052
Curtis, Frank E.; Wächter, Andreas; Zavala, Victor M.
8
2018
Concise complexity analyses for trust region methods. Zbl 1412.90139
Curtis, Frank E.; Lubberts, Zachary; Robinson, Daniel P.
4
2018
\(R\)-linear convergence of limited memory steepest descent. Zbl 1407.65061
Curtis, Frank E.; Guo, Wei
3
2018
FarRSA for \(\ell_1\)-regularized convex optimization: local convergence and numerical experience. Zbl 1390.49040
Chen, Tianyi; Curtis, Frank E.; Robinson, Daniel P.
2
2018
Fast market clearing algorithms. Zbl 1420.91368
Raghunathan, Arvind U.; Curtis, Frank E.; Takaguchi, Yusuke; Hashimoto, Hiroyuki
1
2018
A trust region algorithm with a worst-case iteration complexity of \(\mathcal{O}(\epsilon ^{-3/2})\) for nonconvex optimization. Zbl 1360.49020
Curtis, Frank E.; Robinson, Daniel P.; Samadi, Mohammadreza
44
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.
25
2017
A reduced-space algorithm for minimizing \(\ell_1\)-regularized convex functions. Zbl 1369.90103
Chen, Tianyi; Curtis, Frank E.; Robinson, Daniel P.
8
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.
5
2017
Solving nearly-separable quadratic optimization problems as nonsmooth equations. Zbl 1370.90169
Curtis, Frank E.; Raghunathan, Arvind U.
1
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.
7
2016
Handling nonpositive curvature in a limited memory steepest descent method. Zbl 1433.90123
Curtis, Frank E.; Guo, Wei
5
2016
Globally convergent primal-dual active-set methods with inexact subproblem solves. Zbl 1354.49064
Curtis, Frank E.; Han, Zheng
1
2016
An adaptive augmented Lagrangian method for large-scale constrained optimization. Zbl 1323.49015
Curtis, Frank E.; Jiang, Hao; Robinson, Daniel P.
18
2015
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.
16
2015
A quasi-Newton algorithm for nonconvex, nonsmooth optimization with global convergence guarantees. Zbl 1333.49042
Curtis, Frank E.; Que, Xiaocun
9
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
2
2015
A sequential quadratic optimization algorithm with rapid infeasibility detection. Zbl 1301.49069
Burke, James V.; Curtis, Frank E.; Wang, Hao
10
2014
An inexact sequential quadratic optimization algorithm for nonlinear optimization. Zbl 1311.90184
Curtis, Frank E.; Johnson, Travis C.; Robinson, Daniel P.; Wächter, Andreas
10
2014
An adaptive gradient sampling algorithm for non-smooth optimization. Zbl 1284.49036
Curtis, Frank E.; Que, Xiaocun
23
2013
A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization. Zbl 1246.49031
Curtis, Frank E.; Overton, Michael L.
34
2012
A penalty-interior-point algorithm for nonlinear constrained optimization. Zbl 1269.49045
Curtis, Frank E.
10
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
4
2012
Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
29
2010
An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
19
2010
An interior-point algorithm for large-scale nonlinear optimization with inexact step computations. Zbl 1220.49018
Curtis, Frank E.; Schenk, Olaf; Wächter, Andreas
11
2010
A matrix-free algorithm for equality constrained optimization problems with rank-deficient Jacobians. Zbl 1195.49035
Curtis, Frank E.; Nocedal, Jorge; Wächter, Andreas
10
2009
An inexact SQP method for equality constrained optimization. Zbl 1158.49035
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
27
2008
Flexible penalty functions for nonlinear constrained optimization. Zbl 1156.65058
Curtis, Frank E.; Nocedal, Jorge
8
2008
Steplength selection in interior-point methods for quadratic programming. Zbl 1161.90452
Curtis, Frank; Nocedal, Jorge
1
2007
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
3
2004
all top 5

Cited by 938 Authors

21 Curtis, Frank E.
17 Robinson, Daniel P.
14 Martínez, José Mario
8 Birgin, Ernesto G.
8 Toint, Philippe L.
7 Dai, Yu-Hong
7 Santos, Sandra Augusta
6 Bellavia, Stefania
6 Berahas, Albert S.
6 Grapiglia, Geovani Nunes
6 Liu, Xinwei
5 Gould, Nicholas Ian Mark
5 Gratton, Serge
5 Kungurtsev, Vyacheslav
5 Larson, Jeffrey
5 Menickelly, Matt
5 Nocedal, Jorge
5 Pasupathy, Raghu
5 Royer, Clément W.
5 Ruthotto, Lars
5 Sun, Jie
5 Zhu, Detong
4 Armand, Paul
4 Biegler, Lorenz T.
4 Cartis, Coralia
4 di Serafino, Daniela
4 Haber, Eldad
4 Hu, Yaohua
4 Jin, Bangti
4 Krejić, Nataša
4 Oberman, Adam M.
4 Palagi, Laura
4 Pauwels, Edouard Jean Robert
4 Simões, Lucas Eduardo Azevedo
4 Wächter, Andreas
4 Wild, Stefan M.
4 Wright, Stephen J.
4 Xiao, Xiantao
3 Bergou, El Houcine
3 Byrd, Richard H.
3 Cai, Li
3 Cheng, Wanyou
3 Chung, Julianne M.
3 Chung, Matthias
3 Diehl, Moritz Mathias
3 Diouane, Youssef
3 Fasano, Giovanni
3 Fung, Samy Wu
3 Gurioli, Gianmarco
3 Hao, Wenrui
3 Helou, Elias Salomão
3 Huang, Yakui
3 Jian, Jinbao
3 Kirches, Christian
3 Krklec Jerinkić, Nataša
3 Mahdavi-Amiri, Nezam
3 Maleknia, Morteza
3 Milzarek, Andre
3 Mitchell, Tim
3 Morini, Benedetta
3 Nimana, Nimit
3 Osher, Stanley Joel
3 Pang, Liping
3 Petrot, Narin
3 Prudente, Leandro F.
3 Qiu, Songqiang
3 Rinaldi, Francesco
3 Schönlieb, Carola-Bibiane
3 Scutari, Gesualdo
3 Shamsi, Mostafa
3 Shen, Chungen
3 Stillfjord, Tony
3 Takáč, Martin
3 Tang, Chunming
3 Tenorio, Luis
3 Viola, Marco
3 Wang, Hao
3 Wang, Zhujun
3 Wen, Zaiwen
3 Ye, Jane J.
3 Yuan, Ya-xiang
3 Zhou, Baoyu
2 Akyildiz, Ömer Deniz
2 Andreani, Roberto
2 Benner, Peter
2 Benoist, Joël
2 Biros, George
2 Bollapragada, Raghu
2 Bolte, Jérôme
2 Boykett, Tim
2 Burgard, Jan Pablo
2 Carlberg, Kevin T.
2 Carmon, Yair
2 Carrizosa, Emilio
2 Chen, Tianyi
2 Chen, Zhongwen
2 Cheng, Fangxiong
2 De los Reyes, Juan Carlos
2 Dolgopolik, Maxim Vladimirovich
2 Doostan, Alireza
...and 838 more Authors
all top 5

Cited in 134 Serials

60 SIAM Journal on Optimization
37 Computational Optimization and Applications
32 Optimization Methods & Software
28 Mathematical Programming. Series A. Series B
21 Journal of Optimization Theory and Applications
12 Inverse Problems
12 Journal of Global Optimization
11 Journal of Computational and Applied Mathematics
11 Journal of Machine Learning Research (JMLR)
10 Journal of Computational Physics
8 Numerical Algorithms
7 Journal of Scientific Computing
6 Mathematics of Computation
6 Optimization Letters
5 Applied Mathematics and Computation
5 Optimization
5 SIAM Journal on Matrix Analysis and Applications
5 European Journal of Operational Research
5 SIAM Journal on Scientific Computing
5 Mathematical Methods of Operations Research
5 Journal of Industrial and Management Optimization
5 Journal of the Operations Research Society of China
4 Automatica
4 SIAM Review
4 Journal of Mathematical Imaging and Vision
4 SIAM Journal on Imaging Sciences
4 Mathematical Programming Computation
4 EURO Journal on Computational Optimization
3 Computer Methods in Applied Mechanics and Engineering
3 Applied Mathematics and Optimization
3 Numerische Mathematik
3 SIAM Journal on Control and Optimization
3 Acta Mathematicae Applicatae Sinica. English Series
3 Journal of Complexity
3 ETNA. Electronic Transactions on Numerical Analysis
3 Optimization and Engineering
3 Acta Numerica
3 Stochastic Systems
3 Research in the Mathematical Sciences
3 SIAM Journal on Mathematics of Data Science
2 Computers and Fluids
2 Optimal Control Applications & Methods
2 Operations Research Letters
2 Applied Numerical Mathematics
2 Computers & Operations Research
2 Applied Mathematical Modelling
2 SIAM Journal on Applied Mathematics
2 Applied and Computational Harmonic Analysis
2 Advances in Computational Mathematics
2 Annals of Mathematics and Artificial Intelligence
2 INFORMS Journal on Computing
2 Vietnam Journal of Mathematics
2 Soft Computing
2 Journal of Applied Statistics
2 Foundations of Computational Mathematics
2 Journal of Systems Science and Complexity
2 Journal of Applied Mathematics and Computing
2 Science China. Mathematics
2 Statistics and Computing
2 SIAM/ASA Journal on Uncertainty Quantification
2 Journal of Nonlinear and Variational Analysis
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Discrete Mathematics
1 Psychometrika
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Bulletin of Mathematical Biology
1 Information Sciences
1 Journal of Combinatorial Theory. Series A
1 Journal of Differential Equations
1 Journal of Mathematical Economics
1 Journal of Multivariate Analysis
1 Mathematics of Operations Research
1 Meccanica
1 Operations Research
1 SIAM Journal on Numerical Analysis
1 Theoretical Computer Science
1 Bulletin of the Korean Mathematical Society
1 Bulletin of the Iranian Mathematical Society
1 Computational Mechanics
1 International Journal of Approximate Reasoning
1 Asia-Pacific Journal of Operational Research
1 Applied Mathematics Letters
1 AI Communications
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 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 Cybernetics and Systems Analysis
1 Statistical Papers
1 Numerical Linear Algebra with Applications
1 Computational and Applied Mathematics
1 Journal of Inverse and Ill-Posed Problems
1 Top
1 Monte Carlo Methods and Applications
1 Complexity
1 European Journal of Control
...and 34 more Serials
all top 5

Cited in 36 Fields

345 Operations research, mathematical programming (90-XX)
250 Numerical analysis (65-XX)
116 Calculus of variations and optimal control; optimization (49-XX)
103 Computer science (68-XX)
48 Statistics (62-XX)
26 Systems theory; control (93-XX)
17 Partial differential equations (35-XX)
13 Information and communication theory, circuits (94-XX)
11 Probability theory and stochastic processes (60-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Biology and other natural sciences (92-XX)
8 Operator theory (47-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Mechanics of deformable solids (74-XX)
6 Ordinary differential equations (34-XX)
5 Approximations and expansions (41-XX)
5 Fluid mechanics (76-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Combinatorics (05-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Functional analysis (46-XX)
3 Mechanics of particles and systems (70-XX)
2 Algebraic geometry (14-XX)
2 Real functions (26-XX)
2 Convex and discrete geometry (52-XX)
2 Optics, electromagnetic theory (78-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)

Citations by Year