Publications (Chronological)


2018

  • [Download PDF] T. Chen, F. E. Curtis, and D. P. Robinson. FaRSA for $\ell_1$-Regularized Convex Optimization: Local Convergence and Numerical Experience. Optimization methods and software, 33(2):396–415, 2018. [Bibtex]
    @article{ChenCurtRobi18,
    author = {Chen, T. and Curtis, F. E. and Robinson, D. P.},
    title = {{FaRSA for $\ell_1$-Regularized Convex Optimization: Local Convergence and Numerical Experience}},
    journal = {Optimization Methods and Software},
    volume = {33},
    number = {2},
    pages = {396--415},
    year = {2018},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/ChenCurtRobi18.pdf}
    }
  • [Download PDF] F. E. Curtis, A. Wächter, and V. M. Zavala. A Sequential Algorithm for Solving Nonlinear Optimization Problems with Chance Constraints. SIAM Journal on Optimization, 28(1):930–958, 2018. [Bibtex]
    @article{CurtWaecZava18,
    author = {Curtis, F. E. and W\"achter, A. and Zavala, V. M.},
    title = {{A Sequential Algorithm for Solving Nonlinear Optimization Problems with Chance Constraints}},
    journal = {{SIAM Journal on Optimization}},
    volume = {28},
    number = {1},
    pages = {930--958},
    year = {2018},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtWaecZava18.pdf}
    }
  • [Download PDF] F. E. Curtis and W. Guo. $R$-Linear Convergence of Limited Memory Steepest Descent. IMA Journal of Numerical Analysis, 38(2):720–742, 2018. [Bibtex]
    @article{CurtGuo18,
    author = {Curtis, F. E. and Guo, W.},
    title = {{$R$-Linear Convergence of Limited Memory Steepest Descent}},
    journal = {{IMA Journal of Numerical Analysis}},
    volume = {38},
    number = {2},
    pages = {720--742},
    year = {2018},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtGuo18.pdf}
    }
  • [Download PDF] L. Bottou, F. E. Curtis, and J. Nocedal. Optimization Methods for Large-Scale Machine Learning. SIAM Review, 60(2):223–311, 2018. [Bibtex]
    @article{BottCurtNoce18,
    author = {Bottou, L. and Curtis, F. E. and Nocedal, J.},
    title = {{Optimization Methods for Large-Scale Machine Learning}},
    journal = {{SIAM Review}},
    volume = {60},
    number = {2},
    pages = {223--311},
    year = {2018},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/BottCurtNoce18.pdf}
    }
  • [Download PDF] F. E. Curtis, D. P. Robinson, and M. Samadi. Complexity Analysis of a Trust Funnel Algorithm for Equality Constrained Optimization. SIAM Journal on Optimization, 28(2):1533–1563, 2018. [Bibtex]
    @article{CurtRobiSama18a,
    author = {Curtis, F. E. and Robinson, D. P. and Samadi, M.},
    title = {{Complexity Analysis of a Trust Funnel Algorithm for Equality Constrained Optimization}},
    journal = {{SIAM Journal on Optimization}},
    volume = {28},
    number = {2},
    pages = {1533--1563},
    year = {2018},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtRobiSama18a.pdf}
    }
  • [DOI] [Download PDF] A. U. Raghunathan, F. E. Curtis, Y. Takaguchi, and H. Hashimoto. Fast Market Clearing Algorithms. In Energy Markets and Responsive Grids, chapter 7, page 155–175. Springer, 2018. [Bibtex]
    @incollection{RaghCurtTakaHash18,
    author = {Raghunathan, A. U. and Curtis, F. E. and Takaguchi, Y. and Hashimoto, H.},
    title = {{Fast Market Clearing Algorithms}},
    booktitle = {{Energy Markets and Responsive Grids}},
    publisher = {Springer},
    chapter = {7},
    pages = {155--175},
    doi = {10.1007/978-1-4939-7822-9},
    url = {https://www.springer.com/us/book/9781493978212},
    year = {2018}
    }
  • [Download PDF] F. E. Curtis, D. P. Robinson, and M. Samadi. An Inexact Regularized Newton Framework with a Worst-Case Iteration Complexity of $\mathcal{O}(\epsilon^{-3/2})$ for Nonconvex Optimization. IMA Journal of Numerical Analysis, doi:10.1093/imanum/dry022, 2018. [Bibtex]
    @article{CurtRobiSama18b,
    author = {Curtis, F. E. and Robinson, D. P. and Samadi, M.},
    title = {{An Inexact Regularized Newton Framework with a Worst-Case Iteration Complexity of $\mathcal{O}(\epsilon^{-3/2})$ for Nonconvex Optimization}},
    journal = {{IMA Journal of Numerical Analysis}},
    volume = {doi:10.1093/imanum/dry022},
    number = {},
    pages = {},
    year = {2018},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtRobiSama18b.pdf}
    }
  • [Download PDF] F. E. Curtis, Z. Lubberts, and D. P. Robinson. Concise Complexity Analyses for Trust Region Methods. Optimization Letters, 10.1007/s11590-018-1286-2, 2018. [Bibtex]
    @article{CurtLubbRobi18,
    author = {Curtis, F. E. and Lubberts, Z. and Robinson, D. P.},
    title = {{Concise Complexity Analyses for Trust Region Methods}},
    journal = {{Optimization Letters}},
    volume = {10.1007/s11590-018-1286-2},
    number = {},
    pages = {},
    year = {2018},
    url = {https://rdcu.be/1qGH}
    }
  • [Download PDF] F. E. Curtis and D. P. Robinson. How to Characterize the Worst-Case Performance of Algorithms for Nonconvex Optimization. Technical Report 18T-003, COR@L Laboratory, Department of ISE, Lehigh University, 2018. [Bibtex]
    @techreport{CurtRobi18,
    author = {Curtis, F. E. and Robinson, D. P.},
    title = {{How to Characterize the Worst-Case Performance of Algorithms for Nonconvex Optimization}},
    institution = {COR@L Laboratory, Department of ISE, Lehigh University},
    number = {18T-003},
    year = {2018},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtRobi18.pdf}
    }
  • [Download PDF] W. Gao, D. Goldfarb, and F. E. Curtis. ADMM for Multiaffine Constrained Optimization. arXiv 1802.09592, 2018. [Bibtex]
    @unpublished{GaoGoldCurt18,
    author = {Gao, W. and Goldfarb, D. and Curtis, F. E.},
    title = {{ADMM for Multiaffine Constrained Optimization}},
    note = {arXiv 1802.09592},
    year = {2018},
    url = {https://arxiv.org/abs/1802.09592}
    }
  • [Download PDF] J. V. Burke, F. E. Curtis, H. Wang, and J. Wang. A Dynamic Penalty Parameter Updating Strategy for Matrix-Free Sequential Quadratic Optimization. arXiv 1803.09224, 2018. [Bibtex]
    @unpublished{BurkCurtWangWang18,
    author = {Burke, J. V. and Curtis, F. E. and Wang, H. and Wang, J.},
    title = {{A Dynamic Penalty Parameter Updating Strategy for Matrix-Free Sequential Quadratic Optimization}},
    note = {arXiv 1803.09224},
    year = {2018},
    url = {https://arxiv.org/abs/1803.09224}
    }
  • [Download PDF] J. V. Burke, F. E. Curtis, A. S. Lewis, M. L. Overton, and L. E. A. Simões. Gradient Sampling Methods for Nonsmooth Optimization. arXiv 1804.11003, 2018. [Bibtex]
    @unpublished{BurkCurtLewiOverSimo18,
    author = {Burke, J. V. and Curtis, F. E. and Lewis, A. S. and Overton, M. L. and Sim\~oes, L. E. A.},
    title = {{Gradient Sampling Methods for Nonsmooth Optimization}},
    note = {arXiv 1804.11003},
    year = {2018},
    url = {https://arxiv.org/abs/1804.11003}
    }

2017

  • [Download PDF] F. E. Curtis, T. Mitchell, and M. L. Overton. A BFGS-SQP Method for Nonsmooth, Nonconvex, Constrained Optimization and its Evaluation using Relative Minimization Profiles. Optimization Methods and Software, 32(1):148–181, 2017. [Bibtex]
    @article{CurtMitcOver17,
    author = {Curtis, F. E. and Mitchell, T. and Overton, M. L.},
    title = {{A BFGS-SQP Method for Nonsmooth, Nonconvex, Constrained Optimization and its Evaluation using Relative Minimization Profiles}},
    journal = {{Optimization Methods and Software}},
    volume = {32},
    number = {1},
    pages = {148--181},
    year = {2017},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtMitcOver17.pdf}
    }
  • [Download PDF] F. E. Curtis, D. P. Robinson, and M. Samadi. A Trust Region Algorithm with a Worst-Case Iteration Complexity of ${\cal O}(\epsilon^{-3/2})$ for Nonconvex Optimization. Mathematical Programming, 162(1):1–32, 2017. [Bibtex]
    @article{CurtRobiSama17,
    author = {Curtis, F. E. and Robinson, D. P. and Samadi, M.},
    title = {{A Trust Region Algorithm with a Worst-Case Iteration Complexity of ${\cal O}(\epsilon^{-3/2})$ for Nonconvex Optimization}},
    journal = {{Mathematical Programming}},
    volume = {162},
    number = {1},
    pages = {1--32},
    year = {2017},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtRobiSama17.pdf}
    }
  • [Download PDF] T. Chen, F. E. Curtis, and D. P. Robinson. A Reduced-Space Algorithm for Minimizing $\ell_1$-Regularized Convex Functions. SIAM Journal on Optimization, 27(3):1583–1610, 2017. [Bibtex]
    @article{ChenCurtRobi17,
    author = {Chen, T. and Curtis, F. E. and Robinson, D. P.},
    title = {{A Reduced-Space Algorithm for Minimizing $\ell_1$-Regularized Convex Functions}},
    journal = {{SIAM Journal on Optimization}},
    volume = {27},
    number = {3},
    pages = {1583--1610},
    year = {2017},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/ChenCurtRobi17.pdf}
    }
  • [Download PDF] F. E. Curtis, N. I. M. Gould, D. P. Robinson, and Ph. L. Toint. An Interior-Point Trust-Funnel Algorithm for Nonlinear Optimization. Mathematical Programming, 161(1):73–134, 2017. [Bibtex]
    @article{CurtGoulRobiToin17,
    author = {Curtis, F. E. and Gould, N. I. M. and Robinson, D. P. and Toint, Ph. L.},
    title = {{An Interior-Point Trust-Funnel Algorithm for Nonlinear Optimization}},
    journal = {{Mathematical Programming}},
    volume = {161},
    number = {1},
    pages = {73--134},
    year = {2017},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtGoulRobiToin17.pdf}
    }
  • [Download PDF] F. E. Curtis and A. U. Raghunathan. Solving Nearly-Separable Quadratic Optimization Problems as Nonsmooth Equations. Computational optimization and applications, 67(2):317–360, 2017. [Bibtex]
    @article{CurtRagh17,
    author = {Curtis, F. E. and Raghunathan, A. U.},
    title = {{Solving Nearly-Separable Quadratic Optimization Problems as Nonsmooth Equations}},
    journal = {Computational Optimization and Applications},
    volume = {67},
    number = {2},
    pages = {317--360},
    year = {2017},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtRagh17.pdf}
    }
  • [DOI] [Download PDF] F. E. Curtis and K. Scheinberg. Optimization Methods for Supervised Machine Learning: From Linear Models to Deep Learning. In INFORMS Tutorials in Operations Research, chapter 5, page 89–114. Institute for Operations Research and the Management Sciences (INFORMS), 2017. [Bibtex]
    @incollection{CurtSche17,
    author = {Curtis, F. E. and Scheinberg, K.},
    title = {{Optimization Methods for Supervised Machine Learning: From Linear Models to Deep Learning}},
    booktitle = {{INFORMS Tutorials in Operations Research}},
    publisher = {Institute for Operations Research and the Management Sciences (INFORMS)},
    chapter = {5},
    pages = {89--114},
    doi = {10.1287/educ.2017.0168},
    url = {http://pubsonline.informs.org/doi/abs/10.1287/educ.2017.0168},
    year = {2017}
    }
  • [Download PDF] F. E. Curtis and D. P. Robinson. Exploiting Negative Curvature in Deterministic and Stochastic Optimization. Technical Report 17T-003, COR@L Laboratory, Department of ISE, Lehigh University, 2017. [Bibtex]
    @techreport{CurtRobi17,
    author = {Curtis, F. E. and Robinson, D. P.},
    title = {{Exploiting Negative Curvature in Deterministic and Stochastic Optimization}},
    institution = {COR@L Laboratory, Department of ISE, Lehigh University},
    number = {17T-003},
    year = {2017},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtRobi17.pdf}
    }
  • [Download PDF] F. E. Curtis, D. P. Robinson, and B. Zhou. Self-Correcting Variable-Metric Algorithms for Nonsmooth Optimization. Technical Report 17T-012, COR@L Laboratory, Department of ISE, Lehigh University, 2017. [Bibtex]
    @techreport{CurtRobiZhou17,
    author = {Curtis, F. E. and Robinson, D. P. and Zhou, B.},
    title = {{Self-Correcting Variable-Metric Algorithms for Nonsmooth Optimization}},
    institution = {COR@L Laboratory, Department of ISE, Lehigh University},
    number = {17T-012},
    year = {2017},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtRobiZhou17.pdf}
    }
  • [Download PDF] C. Ma, M. Jaggi, F. E. Curtis, N. Srebro, and M. Takáč. An Accelerated Communication-Efficient Primal-Dual Optimization Framework for Structured Machine Learning. Technical Report 17T-016, COR@L Laboratory, Department of ISE, Lehigh University, 2017. [Bibtex]
    @techreport{MaJaggCurtSrebTaka17,
    author = {Ma, C. and Jaggi, M. and Curtis, F. E. and Srebro, N. and Tak\'a\v{c}, M.},
    title = {{An Accelerated Communication-Efficient Primal-Dual Optimization Framework for Structured Machine Learning}},
    institution = {COR@L Laboratory, Department of ISE, Lehigh University},
    number = {17T-016},
    year = {2017},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/MaJaggCurtSrebTaka17.pdf}
    }
  • [Download PDF] F. E. Curtis, K. Scheinberg, and R. Shi. A Stochastic Trust Region Algorithm. Technical Report 17T-017, COR@L Laboratory, Department of ISE, Lehigh University, 2017. [Bibtex]
    @techreport{CurtScheShi17,
    author = {Curtis, F. E. and Scheinberg, K. and Shi, R.},
    title = {{A Stochastic Trust Region Algorithm}},
    institution = {COR@L Laboratory, Department of ISE, Lehigh University},
    number = {17T-017},
    year = {2017},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtScheShi17.pdf}
    }

2016

  • [Download PDF] F. E. Curtis, N. I. M. Gould, H. Jiang, and D. P. Robinson. Adaptive Augmented Lagrangian Methods: Algorithms and Practical Numerical Experience. Optimization Methods and Software, 31(1):157–186, 2016. [Bibtex]
    @article{CurtGoulJianRobi16,
    author = {Curtis, F. E. and Gould, N. I. M. and Jiang, H. and Robinson, D. P.},
    title = {{Adaptive Augmented Lagrangian Methods: Algorithms and Practical Numerical Experience}},
    journal = {{Optimization Methods and Software}},
    volume = {31},
    number = {1},
    pages = {157--186},
    year = {2016},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtGoulJianRobi16.pdf}
    }
  • [Download PDF] F. E. Curtis and W. Guo. Handling Nonpositive Curvature in a Limited Memory Steepest Descent Method. IMA Journal of Numerical Analysis, 36(2):717–742, 2016. [Bibtex]
    @article{CurtGuo16,
    author = {Curtis, F. E. and Guo, W.},
    title = {{Handling Nonpositive Curvature in a Limited Memory Steepest Descent Method}},
    journal = {{IMA Journal of Numerical Analysis}},
    volume = {36},
    number = {2},
    pages = {717--742},
    year = {2016},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtGuo16.pdf},
    }
  • [Download PDF] F. E. Curtis and Z. Han. Globally Convergent Primal-Dual Active-Set Methods with Inexact Subproblem Solves. SIAM Journal on Optimization, 26(4):2261–2283, 2016. [Bibtex]
    @article{CurtHan16,
    author = {Curtis, F. E. and Han, Z.},
    title = {{Globally Convergent Primal-Dual Active-Set Methods with Inexact Subproblem Solves}},
    journal = {{SIAM Journal on Optimization}},
    volume = {26},
    number = {4},
    pages = {2261--2283},
    year = {2016},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtHan16.pdf}
    }
  • [Download PDF] F. E. Curtis. A Self-Correcting Variable-Metric Algorithm for Stochastic Optimization. In Proceedings of the 33rd International Conference on Machine Learning, New York, NY, USA, 2016. JMLR. [Bibtex]
    @conference{Curt16,
    author = {Curtis, F. E.},
    title = {{A Self-Correcting Variable-Metric Algorithm for Stochastic Optimization}},
    booktitle = {{Proceedings of the 33rd International Conference on Machine Learning}},
    publisher = {JMLR},
    address = {New York, NY, USA},
    year = {2016},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/Curt16.pdf}
    }
  • [Download PDF] A. U. Raghunathan, F. E. Curtis, Y. Takaguchi, and H. Hashimoto. Accelerating Convergence to Competitive Equilibrium in Electricity Markets. In IEEE Power and Energy Society General Meeting, 2016. [Bibtex]
    @conference{RaghCurtTakaHash16,
    author = {Raghunathan, A. U. and Curtis, F. E. and Takaguchi, Y. and Hashimoto, H.},
    title = {{Accelerating Convergence to Competitive Equilibrium in Electricity Markets}},
    booktitle = {{IEEE Power and Energy Society General Meeting}},
    year = {2016},
    url = {http://ieeexplore.ieee.org/document/7741162/}
    }

2015

  • [Download PDF] J. V. Burke, F. E. Curtis, H. Wang, and J. Wang. Iterative Reweighted Linear Least Squares for Exact Penalty Subproblems on Product Sets. SIAM Journal on Optimization, 25(1):261–294, 2015. [Bibtex]
    @article{BurkCurtWangWang15,
    author = {Burke, J. V. and Curtis, F. E. and Wang, H. and Wang, J.},
    title = {{Iterative Reweighted Linear Least Squares for Exact Penalty Subproblems on Product Sets}},
    journal = {{SIAM Journal on Optimization}},
    volume = {25},
    number = {1},
    pages = {261--294},
    year = {2015},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/BurkCurtWangWang15.pdf}
    }
  • [Download PDF] F. E. Curtis, Z. Han, and D. P. Robinson. A Globally Convergent Primal-Dual Active-Set Framework for Large-Scale Convex Quadratic Optimization. Computational Optimization and Applications, 60(2):311–341, 2015. [Bibtex]
    @article{CurtHanRobi15,
    author = {Curtis, F. E. and Han, Z. and Robinson, D. P.},
    title = {{A Globally Convergent Primal-Dual Active-Set Framework for Large-Scale Convex Quadratic Optimization}},
    journal = {{Computational Optimization and Applications}},
    volume = {60},
    number = {2},
    pages = {311--341},
    year = {2015},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtHanRobi15.pdf}
    }
  • [Download PDF] F. E. Curtis, H. Jiang, and D. P. Robinson. An Adaptive Augmented Lagrangian Method for Large-Scale Constrained Optimization. Mathematical Programming, 152(1–2):201–245, 2015. [Bibtex]
    @article{CurtJianRobi15,
    author = {Curtis, F. E. and Jiang, H. and Robinson, D. P.},
    title = {{An Adaptive Augmented Lagrangian Method for Large-Scale Constrained Optimization}},
    journal = {{Mathematical Programming}},
    volume = {152},
    number = {1--2},
    pages = {201--245},
    year = {2015},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtJianRobi15.pdf}
    }
  • [Download PDF] F. E. Curtis and X. Que. A Quasi-Newton Algorithm for Nonconvex, Nonsmooth Optimization with Global Convergence Guarantees. Mathematical Programming Computation, 7(4):399–428, 2015. [Bibtex]
    @article{CurtQue15,
    author = {Curtis, F. E. and Que, X.},
    title = {{A Quasi-Newton Algorithm for Nonconvex, Nonsmooth Optimization with Global Convergence Guarantees}},
    journal = {{Mathematical Programming Computation}},
    volume = {7},
    number = {4},
    pages = {399--428},
    year = {2015},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtQue15.pdf}
    }
  • [Download PDF] F. E. Curtis and Z. Han. Primal-dual active-set methods for isotonic regression and trend filtering. arXiv 1508.02452, 2015. [Bibtex]
    @unpublished{CurtHan15,
    author = {Curtis, F. E. and Han, Z.},
    title = {Primal-Dual Active-Set Methods for Isotonic Regression and Trend Filtering},
    note = {arXiv 1508.02452},
    year = {2015},
    url = {http://arxiv.org/abs/1508.02452}
    }

2014

  • [Download PDF] J. V. Burke, F. E. Curtis, and H. Wang. A Sequential Quadratic Optimization Algorithm with Rapid Infeasibility Detection. SIAM Journal on Optimization, 24(2):839–872, 2014. [Bibtex]
    @article{BurkCurtWang14,
    author = {Burke, J. V. and Curtis, F. E. and Wang, H.},
    title = {{A Sequential Quadratic Optimization Algorithm with Rapid Infeasibility Detection}},
    journal = {{SIAM Journal on Optimization}},
    volume = {24},
    number = {2},
    pages = {839--872},
    year = {2014},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/BurkCurtWang14.pdf}
    }
  • [Download PDF] F. E. Curtis, T. Johnson, D. P. Robinson, and A. Wächter. An Inexact Sequential Quadratic Optimization Algorithm for Nonlinear Optimization. SIAM Journal on Optimization, 24(3):1041–1074, 2014. [Bibtex]
    @article{CurtJohnRobiWaec14,
    author = {Curtis, F. E. and Johnson, T. and Robinson, D. P. and W\"achter, A.},
    title = {{An Inexact Sequential Quadratic Optimization Algorithm for Nonlinear Optimization}},
    journal = {{SIAM Journal on Optimization}},
    volume = {24},
    number = {3},
    pages = {1041--1074},
    year = {2014},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtJohnRobiWaec14.pdf}
    }

2013

  • [Download PDF] F. E. Curtis and X. Que. An Adaptive Gradient Sampling Algorithm for Nonsmooth Optimization. Optimization Methods and Software, 28(6):1302–1324, 2013. [Bibtex]
    @article{CurtQue13,
    author = {Curtis, F. E. and Que, X.},
    title = {{An Adaptive Gradient Sampling Algorithm for Nonsmooth Optimization}},
    journal = {{Optimization Methods and Software}},
    volume = {28},
    number = {6},
    pages = {1302--1324},
    year = {2013},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtQue13.pdf}
    }

2012

  • [Download PDF] F. E. Curtis. A Penalty-Interior-Point Algorithm for Nonlinear Constrained Optimization. Mathematical Programming Computation, 4(2):181–209, 2012. [Bibtex]
    @article{Curt12,
    author = {Curtis, F. E.},
    title = {{A Penalty-Interior-Point Algorithm for Nonlinear Constrained Optimization}},
    journal = {{Mathematical Programming Computation}},
    volume = {4},
    number = {2},
    pages = {181--209},
    year = {2012},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/Curt12.pdf}
    }
  • [Download PDF] F. E. Curtis, J. Huber, O. Schenk, and A. Wächter. A Note on the Implementation of an Interior-Point Algorithm for Nonlinear Optimization with Inexact Step Computations. Mathematical Programming, Series B, 136(1):209–227, 2012. [Bibtex]
    @article{CurtHubeScheWaec12,
    author = {Curtis, F. E. and Huber, J. and Schenk, O. and W\"{a}chter, A.},
    title = {{A Note on the Implementation of an Interior-Point Algorithm for Nonlinear Optimization with Inexact Step Computations}},
    journal = {{Mathematical Programming, Series B}},
    volume = {136},
    number = {1},
    pages = {209--227},
    year = {2012},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtHubeScheWaec12.pdf}
    }
  • [Download PDF] F. E. Curtis and M. L. Overton. A Sequential Quadratic Programming Algorithm for Nonconvex, Nonsmooth Constrained Optimization. SIAM Journal on Optimization, 22(2):474–500, 2012. [Bibtex]
    @article{CurtOver12,
    author = {Curtis, F. E. and Overton, M. L.},
    title = {{A Sequential Quadratic Programming Algorithm for Nonconvex, Nonsmooth Constrained Optimization}},
    journal = {{SIAM Journal on Optimization}},
    volume = {22},
    number = {2},
    pages = {474--500},
    year = {2012},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtOver12.pdf}
    }
  • T. Terlaky and F. E. Curtis, editors. Modeling and Optimization: Theory and Applications – Selected Contributions from the MOPTA 2010 Conference. Springer Proceedings in Mathematics and Statistics. Springer, New York, NY, USA, 2012. [Bibtex]
    @book{TerlCurt12,
    editor = {Terlaky, T. and Curtis, F. E.},
    title = {{Modeling and Optimization: Theory and Applications -- Selected Contributions from the MOPTA 2010 Conference}},
    publisher = {Springer},
    address = {New York, NY, USA},
    series = {Springer Proceedings in Mathematics and Statistics},
    year = {2012}
    }

2010

  • [Download PDF] R. H. Byrd, F. E. Curtis, and J. Nocedal. An Inexact Newton Method for Nonconvex Equality Constrained Optimization. Mathematical Programming, 122(2):273–299, 2010. [Bibtex]
    @article{ByrdCurtNoce10a,
    author = {Byrd, R. H. and Curtis, F. E. and Nocedal, J.},
    title = {{An Inexact Newton Method for Nonconvex Equality Constrained Optimization}},
    journal = {{Mathematical Programming}},
    volume = {122},
    number = {2},
    pages = {273--299},
    year = {2010},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/ByrdCurtNoce10a.pdf}
    }
  • [Download PDF] R. H. Byrd, F. E. Curtis, and J. Nocedal. Infeasibility Detection and SQP Methods for Nonlinear Optimization. SIAM Journal on Optimization, 20(5):2281–2299, 2010. [Bibtex]
    @article{ByrdCurtNoce10b,
    author = {Byrd, R. H. and Curtis, F. E. and Nocedal, J.},
    title = {{Infeasibility Detection and SQP Methods for Nonlinear Optimization}},
    journal = {{SIAM Journal on Optimization}},
    volume = {20},
    number = {5},
    pages = {2281--2299},
    year = {2010},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/ByrdCurtNoce10b.pdf}
    }
  • [Download PDF] F. E. Curtis, O. Schenk, and A. Wächter. An Interior-Point Algorithm for Large-Scale Nonlinear Optimization with Inexact Step Computations. SIAM Journal on Scientific Computing, 32(6):3447–3475, 2010. [Bibtex]
    @article{CurtScheWaec10,
    author = {Curtis, F. E. and Schenk, O. and W\"{a}chter, A.},
    title = {{An Interior-Point Algorithm for Large-Scale Nonlinear Optimization with Inexact Step Computations}},
    journal = {{SIAM Journal on Scientific Computing}},
    volume = {32},
    number = {6},
    pages = {3447--3475},
    year = {2010},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtScheWaec10.pdf}
    }

2009

  • [Download PDF] F. E. Curtis, J. Nocedal, and A. Wächter. A Matrix-Free Algorithm for Equality Constrained Optimization Problems with Rank Deficient Jacobians. SIAM Journal on Optimization, 20(3):1224–1249, 2009. [Bibtex]
    @article{CurtNoceWaec09,
    author = {Curtis, F. E. and Nocedal, J. and W\"{a}chter, A.},
    title = {{A Matrix-Free Algorithm for Equality Constrained Optimization Problems with Rank Deficient Jacobians}},
    journal = {{SIAM Journal on Optimization}},
    volume = {20},
    number = {3},
    pages = {1224--1249},
    year = {2009},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtNoceWaec09.pdf}
    }

2008

  • [Download PDF] R. H. Byrd, F. E. Curtis, and J. Nocedal. An Inexact SQP Method for Equality Constrained Optimization. SIAM Journal on Optimization, 19(1):351–369, 2008. [Bibtex]
    @article{ByrdCurtNoce08,
    author = {Byrd, R. H. and Curtis, F. E. and Nocedal, J.},
    title = {{An Inexact SQP Method for Equality Constrained Optimization}},
    journal = {{SIAM Journal on Optimization}},
    volume = {19},
    number = {1},
    pages = {351--369},
    year = {2008},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/ByrdCurtNoce08.pdf}
    }
  • [Download PDF] F. E. Curtis and J. Nocedal. Flexible Penalty Functions for Nonlinear Constrained Optimization. IMA Journal of Numerical Analysis, 28(4):749–769, 2008. [Bibtex]
    @article{CurtNoce08,
    author = {Curtis, F. E. and Nocedal, J.},
    title = {{Flexible Penalty Functions for Nonlinear Constrained Optimization}},
    journal = {{IMA Journal of Numerical Analysis}},
    volume = {28},
    number = {4},
    pages = {749--769},
    year = {2008},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtNoce08.pdf}
    }

2007

  • [Download PDF] F. E. Curtis. Inexact Sequential Quadratic Programming Methods for Large-Scale Nonlinear Optimization. PhD thesis, Department of Industrial Engineering and Management Science, Northwestern University, Evanston, IL, USA, 2007. [Bibtex]
    @phdthesis{Curt07,
    author = {Curtis, F. E.},
    title = {{Inexact Sequential Quadratic Programming Methods for Large-Scale Nonlinear Optimization}},
    school = {Department of Industrial Engineering and Management Science, Northwestern University, Evanston, IL, USA},
    year = {2007},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/dissertations/Curt07.pdf}
    }
  • [Download PDF] F. E. Curtis and J. Nocedal. Steplength Selection in Interior-Point Methods for Quadratic Programming. Applied Mathematics Letters, 20(5):516–523, 2007. [Bibtex]
    @article{CurtNoce07,
    author = {Curtis, F. E. and Nocedal, J.},
    title = {{Steplength Selection in Interior-Point Methods for Quadratic Programming}},
    journal = {{Applied Mathematics Letters}},
    volume = {20},
    number = {5},
    pages = {516--523},
    year = {2007},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtNoce07.pdf}
    }

2006

  • [Download PDF] F. E. Curtis and R. Kincaid. Determinant Optimization on Binary Matrices. American Journal of Mathematical and Management Sciences, 26(1–2):33–70, 2006. [Bibtex]
    @article{CurtKinc06,
    author = {Curtis, F. E. and Kincaid, R.},
    title = {{Determinant Optimization on Binary Matrices}},
    journal = {{American Journal of Mathematical and Management Sciences}},
    volume = {26},
    number = {1--2},
    pages = {33--70},
    year = {2006},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtKinc06.pdf}
    }

2004

  • [Download PDF] F. E. Curtis, J. Drew, C. -K. Li, and D. Pragel. Central Groupoids, Central Digraphs, and Zero-One Matrices A Satisfying $A^2=J$. Journal of Combinatorial Theory, Series A, 105(1):35–50, 2004. [Bibtex]
    @article{CurtDrewLiPrag04,
    author = {Curtis, F. E. and Drew, J. and Li, C.-K. and Pragel, D.},
    title = {{Central Groupoids, Central Digraphs, and Zero-One Matrices A Satisfying $A^2=J$}},
    journal = {{Journal of Combinatorial Theory, Series A}},
    volume = {105},
    number = {1},
    pages = {35--50},
    year = {2004},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/papers/CurtDrewLiPrag04.pdf}
    }

2003

  • [Download PDF] F. E. Curtis. Special Classes of Zero-One Matrices. Undergraduate Honors Thesis, Department of Mathematics, College of William and Mary, Williamsburg, VA, USA, 2003. [Bibtex]
    @unpublished{Curt03,
    author = {Curtis, F. E.},
    title = {{Special Classes of Zero-One Matrices}},
    note = {Undergraduate Honors Thesis, Department of Mathematics, College of William and Mary, Williamsburg, VA, USA},
    year = {2003},
    url = {http://coral.ise.lehigh.edu/frankecurtis/files/dissertations/Curt03.pdf}
    }