Edit Profile (opens in new tab) Hager, William W. Compute Distance To: Compute Author ID: hager.william-w Published as: Hager, William W.; Hager, W. W.; Hager, William; Hager, W. Homepage: https://people.clas.ufl.edu/hager/ External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 154 Publications since 1972, including 2 Books 6 Contributions as Editor Co-Authors: 95 Co-Authors with 128 Joint Publications 2,424 Co-Co-Authors all top 5 Co-Authors 32 single-authored 25 Zhang, Hongchao 15 Dontchev, Asen L. 14 Rao, Anil V. 8 Davis, Timothy Alden 8 Rostamian, Rouben 7 Pardalos, Panos M. 5 Ianculescu, George D. 5 Jiang, Yi 5 Li, Jian 5 Phan, Dzung T. 4 Cancès, Eric 4 Hou, Hongyan 4 Hungerford, James T. 4 Le Bris, Claude 3 Barrault, Maxime 3 Bencteux, Guy 3 Garg, Divya 3 Hearn, Donald W. 3 Mohapatra, Subhashree 3 Park, Soonchul 3 Patterson, Michael A. 3 Veliov, Vladimir M. 3 Wang, Xiangsheng 3 Yashtini, Maryam 2 Aslan, Beyza Caliskan 2 Benson, David A. 2 Brezzi, Franco 2 Chen, Yunmei 2 Darby, Christopher L. 2 Françolin, Camila C. 2 Ghosh, Nilotpal 2 Huntington, Geoffrey T. 2 Krylyuk, Yaroslav S. 2 Luo, Jiangtao 2 Malanowski, Kazimierz D. 2 Poore, Aubrey B. 2 Raviart, Pierre-Arnaud 2 Wang, Dongxing 2 Wong, Tan F. 2 Yang, Bing 2 Ye, Xiaojing 1 Aghaee, Mahya 1 Bai, Jianchao 1 Bodin, Derek 1 Brás, Carmo P. 1 Chen, Wanchun 1 Dai, Yu-Hong 1 Damlamian, Alain 1 De Asmundis, Roberta 1 Decleene, Christopher 1 Delfour, Michel Claude 1 di Serafino, Daniela 1 Du, Wenhao 1 Eide, Joseph D. 1 Garg, Devendra P. 1 González-Lima, María D. 1 Gowda, Muddappa Seetharama 1 Horowitz, Larry L. 1 Horst, Reiner 1 Huang, Feng 1 Huang, Shu-Jen 1 Júdice, Joaquim João 1 Kasha, John R. 1 Kolodziej, Scott P. 1 Li, Yong 1 Liu, Fengjin 1 Mair, Bernard A. 1 Mico-Umutesi, Delphine 1 Miller, Alexander T. 1 Mitter, Sanjoy K. 1 Moskow, Shari 1 Ngo, Cuong 1 Nisbet, John S. 1 Otto, Carolyn 1 Pederson, Roger N. 1 Penkava, Michael 1 Phillipson, Mitch 1 Presler, Dwayne L. 1 Prokopyev, Oleg Alexan 1 Rogers, Joel C. W. 1 Roussos, Ioannis Markos 1 Safro, Ilya 1 Sahinoglou, H. D. 1 Sarmah, Purandar 1 Schittkowski, Klaus 1 Steinbach, Ryan 1 Strang, William Gilbert 1 Toraldo, Gerardo 1 Trochu, Francois 1 Weber, Eric S. 1 Wu, Rongling 1 Yang, Liang 1 Yeralan, Sencer Nuri 1 Yin, Wotao 1 Zhu, Jiajie all top 5 Serials 17 Computational Optimization and Applications 11 SIAM Journal on Control and Optimization 8 SIAM Journal on Numerical Analysis 8 SIAM Journal on Optimization 6 Mathematical Programming. Series A. Series B 5 Mathematics of Computation 5 Journal of Optimization Theory and Applications 5 Optimal Control Applications & Methods 4 Computers & Mathematics with Applications 4 Numerische Mathematik 4 SIAM Journal on Matrix Analysis and Applications 4 IEEE Transactions on Signal Processing 3 Journal of Computational Physics 3 ACM Transactions on Mathematical Software 3 Journal of Global Optimization 3 Linear Algebra and its Applications 2 IMA Journal of Numerical Analysis 2 Applied Mathematics and Optimization 2 Automatica 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Scientific Computing 2 SIAM Journal on Imaging Sciences 1 International Journal of Systems Science 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Wave Motion 1 Mathematics of Operations Research 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Scientific and Statistical Computing 1 Systems & Control Letters 1 Asymptotic Analysis 1 SIAM Journal on Discrete Mathematics 1 Annals of Operations Research 1 European Journal of Operational Research 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Set-Valued Analysis 1 Top 1 Mathematical Methods of Operations Research 1 Communications in Contemporary Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Pacific Journal of Optimization 1 Classics in Applied Mathematics 1 Lecture Notes in Economics and Mathematical Systems 1 Nonconvex Optimization and Its Applications 1 Applied Optimization 1 Science China. Mathematics 1 Journal of the Operations Research Society of China all top 5 Fields 93 Operations research, mathematical programming (90-XX) 80 Numerical analysis (65-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 12 Systems theory; control (93-XX) 8 Mechanics of deformable solids (74-XX) 8 Information and communication theory, circuits (94-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 General and overarching topics; collections (00-XX) 6 Partial differential equations (35-XX) 5 Real functions (26-XX) 4 Optics, electromagnetic theory (78-XX) 3 Combinatorics (05-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 132 Publications have been cited 3,158 times in 2,115 Documents Cited by ▼ Year ▼ A new conjugate gradient method with guaranteed descent and an efficient line search. Zbl 1093.90085Hager, William W.; Zhang, Hongchao 346 2005 A nonmonotone line search technique and its application to unconstrained optimization. Zbl 1073.90024Zhang, Hongchao; Hager, William W. 242 2004 A survey of nonlinear conjugate gradient methods. Zbl 1117.90048Hager, William W.; Zhang, Hongchao 238 2006 Algorithm 851: CG_DESCENT, a conjugate gradient method with guaranteed descent. Zbl 1346.90816Hager, William W.; Zhang, Hongchao 135 2006 Updating the inverse of a matrix. Zbl 0671.65018Hager, William W. 127 1989 Runge-Kutta methods in optimal control and the transformed adjoint system. Zbl 0991.49020Hager, William W. 112 2000 Error estimates for the finite element solution of variational inequalities. Part I. primal theory. Zbl 0369.65030Brezzi, Franco; Hager, William W.; Raviart, P. A. 110 1977 Discontinuous Galerkin methods for ordinary differential equations. Zbl 0469.65053Delfour, M.; Hager, W.; Trochu, F. 91 1981 A new active set algorithm for box constrained optimization. Zbl 1165.90570Hager, William W.; Zhang, Hongchao 84 2006 Lipschitz continuity for constrained processes. Zbl 0426.90083Hager, William W. 74 1979 Second-order Runge-Kutta approximations in control constrained optimal control. Zbl 0968.49022Dontchev, A. L.; Hager, William W.; Veliov, Vladimir M. 65 2000 The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao 64 2006 A unified framework for the numerical solution of optimal control problems using pseudospectral methods. Zbl 1219.49028Garg, Divya; Patterson, Michael; Hager, William W.; Rao, Anil V.; Benson, David A.; Huntington, Geoffrey T. 64 2010 An inverse mapping theorem for set-valued maps. Zbl 0804.49021Dontchev, A. L.; Hager, W. W. 53 1994 Applied numerical linear algebra. Zbl 0665.65021Hager, William W. 52 1988 Lipschitzian stability in nonlinear control and optimization. Zbl 0779.49032Dontchev, Asen L.; Hager, William W. 52 1993 An \(hp\)-adaptive pseudospectral method for solving optimal control problems. Zbl 1266.49066Darby, Christopher L.; Hager, William W.; Rao, Anil V. 51 2011 Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods. Zbl 0427.65077Brezzi, Franco; Hager, William W.; Raviart, P. A. 50 1978 The Euler approximation in state constrained optimal control. Zbl 0987.49017Dontchev, A. L.; Hager, William W. 48 2001 Minimizing a quadratic over a sphere. Zbl 1058.90045Hager, William W. 47 2001 The limited memory conjugate gradient method. Zbl 1298.90129Hager, William W.; Zhang, Hongchao 43 2013 Condition estimates. Zbl 0542.65023Hager, William W. 42 1984 Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method. Zbl 1226.49026Garg, Divya; Patterson, Michael A.; Francolin, Camila; Darby, Christopher L.; Huntington, Geoffrey T.; Hager, William W.; Rao, Anil V. 41 2011 An efficient gradient method using the Yuan steplength. Zbl 1310.90082De Asmundis, Roberta; Di Serafino, Daniela; Hager, William W.; Toraldo, Gerardo; Zhang, Hongchao 38 2014 Stabilized sequential quadratic programming. Zbl 1040.90566Hager, William W. 37 1999 Optimality, stability, and convergence in nonlinear control. Zbl 0821.49022Dontchev, A. L.; Hager, W. W.; Poore, A. B.; Yang, Bing 35 1995 Implicit functions, Lipschitz maps, and stability in optimization. Zbl 0835.49019Dontchev, Asen L.; Hager, William W. 32 1994 Pseudospectral methods for solving infinite-horizon optimal control problems. Zbl 1215.49040Garg, Divya; Hager, William W.; Rao, Anil V. 32 2011 Multiplier methods for nonlinear optimal control. Zbl 0717.49024Hager, William W. 31 1990 Stability in the presence of degeneracy and error estimation. Zbl 0956.90049Hager, William W.; Gowda, M. Seetharama 29 1999 Bregman operator splitting with variable stepsize for total variation image reconstruction. Zbl 1290.90071Chen, Yunmei; Hager, William W.; Yashtini, Maryam; Ye, Xiaojing; Zhang, Hongchao 29 2013 Error bounds for Euler approximation of a state and control constrained optimal control problem. Zbl 0969.49013Dontchev, A. L.; Hager, W. W.; Malanowski, K. 27 2000 An affine-scaling interior-point CBB method for box-constrained optimization. Zbl 1168.90007Hager, William W.; Mair, Bernard A.; Zhang, Hongchao 23 2009 Gradient-based methods for sparse recovery. Zbl 1209.90266Hager, William W.; Phan, Dzung T.; Zhang, Hongchao 21 2011 A \(ph\) mesh refinement method for optimal control. Zbl 1329.49048Patterson, Michael A.; Hager, William W.; Rao, Anil V. 21 2015 Lipschitzian stability for state constrained nonlinear optimal control. Zbl 0917.49025Dontchev, A. L.; Hager, W. W. 18 1998 Dual approximations in optimal control. Zbl 0555.49022Hager, William W.; Ianculescu, George D. 18 1984 Graph partitioning and continuous quadratic programming. Zbl 0972.90086Hager, William W.; Krylyuk, Yaroslav 18 1999 Fast algorithms for image reconstruction with application to partially parallel MR imaging. Zbl 1247.90212Chen, Yunmei; Hager, William; Huang, Feng; Phan, Dzung; Ye, Xiaojing; Yin, Wotao 17 2012 Lagrange duality theory for convex control problems. Zbl 0336.49007Hager, William W.; Mitter, Sanjoy K. 16 1976 Uniform convergence and mesh independence of Newton’s method for discretized variational problems. Zbl 0979.49023Dontchev, A. L.; Hager, W. W.; Veliov, V. M. 16 2000 Analysis and implementation of a dual algorithm for constrained optimization. Zbl 0797.90092Hager, W. W. 16 1993 Self-adaptive inexact proximal point methods. Zbl 1147.90414Hager, William W.; Zhang, Hongchao 16 2008 Modifying a sparse Cholesky factorization. Zbl 0929.65012Davis, Timothy A.; Hager, William W. 15 1999 Convergence and stability properties of the discrete Riccati operator equation and the associated optimal control and filtering problems. Zbl 0328.93028Hager, William W.; Horowitz, Larry L. 14 1976 An \(\mathcal O(1/{k})\) convergence rate for the variable stepsize Bregman operator splitting algorithm. Zbl 1381.49009Hager, William W.; Yashtini, Maryam; Zhang, Hongchao 14 2016 An alternating direction approximate Newton algorithm for ill-conditioned inverse problems with application to parallel MRI. Zbl 1317.90235Hager, William; Ngo, Cuong; Yashtini, Maryam; Zhang, Hong-Chao 14 2015 The Ritz-Trefftz method for state and control constrained optimal control problems. Zbl 0322.49021Hager, William W. 13 1975 Multiple-rank modifications of a sparse Cholesky factorization. Zbl 1049.65021Davis, Timothy A.; Hager, William W. 13 2001 Rates of convergence for discrete approximations to unconstrained control problems. Zbl 0368.65036Hager, William W. 12 1976 A new approach to Lipschitz continuity in state constrained optimal control. Zbl 0988.49017Dontchev, A. L.; Hager, William W. 11 1998 Row modifications of a sparse Cholesky factorization. Zbl 1077.65026Davis, Timothy A.; Hager, William W. 11 2005 Application of the dual active set algorithm to quadratic network optimization. Zbl 0791.90053Hager, William W.; Hearn, Donald W. 10 1993 An affine-scaling interior-point method for continuous knapsack constraints with application to support vector machines. Zbl 1218.90114Gonzalez-Lima, Maria D.; Hager, William W.; Zhang, Hongchao 10 2011 Active constraints, indefinite quadratic test problems, and complexity. Zbl 0697.90059Hager, W. W.; Pardalos, P. M.; Roussos, I. M.; Sahinoglou, H. D. 10 1991 Adaptive mesh refinement method for optimal control using nonsmoothness detection and mesh size reduction. Zbl 1395.93303Liu, Fengjin; Hager, William W.; Rao, Anil V. 9 2015 Costate approximation in optimal control using integral Gaussian quadrature orthogonal collocation methods. Zbl 1329.49045Françolin, Camila C.; Benson, David A.; Hager, William W.; Rao, Anil V. 9 2015 Continuous quadratic programming formulations of optimization problems on graphs. Zbl 1357.90166Hager, William W.; Hungerford, James T. 9 2015 The gradient projection method with exact line search. Zbl 1136.90513Hager, William W.; Park, Soonchul 8 2004 Global convergence of SSM for minimizing a quadratic over a sphere. Zbl 1059.90112Hager, William W.; Park, Soonchul 8 2005 Dual techniques for constrained optimization. Zbl 0622.90075Hager, W. W. 8 1987 An exact algorithm for graph partitioning. Zbl 1263.90115Hager, William W.; Phan, Dzung T.; Zhang, Hongchao 8 2013 A generalized eigenproblem for the Laplacian which arises in lightning. Zbl 1137.35047Aslan, Beyza Caliskan; Hager, William W.; Moskow, Shari 8 2008 Convergence rate for a Gauss collocation method applied to constrained optimal control. Zbl 1388.49031Hager, William W.; Liu, Jun; Mohapatra, Subhashree; Rao, Anil V.; Wang, Xiang-Sheng 7 2018 Minimizing the profile of a symmetric matrix. Zbl 1014.65020Hager, William W. 7 2002 The dual active set algorithm and its application to linear programming. Zbl 1017.90061Hager, William W. 7 2002 Numerical analysis in optimal control. Zbl 1024.49026Hager, William W. 7 2002 Convergence rate for a Gauss collocation method applied to unconstrained optimal control. Zbl 1342.49042Hager, William W.; Hou, Hongyan; Rao, Anil V. 7 2016 Projection onto a polyhedron that exploits sparsity. Zbl 1346.90653Hager, William W.; Zhang, Hongchao 7 2016 An efficient hybrid algorithm for the separable convex quadratic knapsack problem. Zbl 1369.65072Davis, Timothy A.; Hager, William W.; Hungerford, James T. 7 2016 Inexact alternating direction methods of multipliers for separable convex optimization. Zbl 1414.90228Hager, William W.; Zhang, Hongchao 6 2019 A multilevel bilinear programming algorithm for the vertex separator problem. Zbl 1394.90546Hager, William W.; Hungerford, James T.; Safro, Ilya 6 2018 Multilevel domain decomposition for electronic structure calculations. Zbl 1147.81021Barrault, M.; Cancès, E.; Hager, W. W.; Le Bris, C. 6 2007 Multiset graph partitioning. Zbl 1031.90053Hager, William W.; Krylyuk, Yaroslav 6 2002 The dual active set algorithm. Zbl 0814.90106Hager, William W. 6 1992 Asymptotic convergence analysis of a new class of proximal point methods. Zbl 1154.90009Hager, William W.; Zhang, Hongchao 6 2007 An active set algorithm for nonlinear optimization with polyhedral constraints. Zbl 1349.90619Hager, William W.; Zhang, Hongchao 6 2016 Lebesgue constants arising in a class of collocation methods. Zbl 1433.41009Hager, William W.; Hou, Hongyan; Rao, Anil V. 5 2017 An ellipsoidal branch and bound algorithm for global optimization. Zbl 1198.90318Hager, William W.; Phan, Dzung T. 5 2009 Iterative methods for nearly singular linear systems. Zbl 0967.65043Hager, William W. 5 2000 An affine scaling method for optimization problems with polyhedral constraints. Zbl 1303.90100Hager, William W.; Zhang, Hongchao 5 2014 A sparse proximal implementation of the LP dual active set algorithm. Zbl 1146.90037Davis, Timothy A.; Hager, William W. 5 2008 PACBB: a projected adaptive cyclic Barzilai-Borwein method for box constrained optimization. Zbl 1100.90050Zhang, Hongchao; Hager, William W. 4 2006 The LP dual active set algorithm. Zbl 0942.65060Hager, William W. 4 1998 A derivative-based bracketing scheme for univariate minimization and the conjugate gradient method. Zbl 0684.65063Hager, W. W. 4 1989 On quantitative stability in optimization and optimal control. Zbl 0967.49013Dontchev, A. L.; Hager, W. W.; Malanowski, K.; Veliov, V. M. 4 2000 Optimality conditions for maximizing a function over a polyhedron. Zbl 1298.90127Hager, William W.; Hungerford, James T. 4 2014 Joint transceiver design for MIMO communications using geometric mean decomposition. Zbl 1370.94011Jiang, Yi; Li, Jian; Hager, William W. 4 2005 Convergence rate for a Radau hp collocation method applied to constrained optimal control. Zbl 1427.49038Hager, William W.; Hou, Hongyan; Mohapatra, Subhashree; Rao, Anil V.; Wang, Xiang-Sheng 3 2019 Recent advances in bound constrained optimization. Zbl 1219.90163Hager, W. W.; Zhang, H. 3 2006 A differential equation model for functional mapping of a virus-cell dynamic system. Zbl 1202.92043Luo, Jiangtao; Hager, William W.; Wu, Rongling 3 2010 Approximations to the multiplier method. Zbl 0572.65052Hager, William W. 3 1985 Optimal coatings, bang-bang controls, and gradient techniques. Zbl 0614.49010Hager, William W.; Rostamian, Rouben 3 1987 Dual techniques for minimax. Zbl 0628.49009Hager, William W.; Presler, Dwayne L. 3 1987 On Robinson’s implicit function theorems. Zbl 0790.49016Dontchev, Asen L.; Hager, William W. 3 1993 Euler approximation of the feasible set. Zbl 0833.65060Dontchev, A. L.; Hager, William W. 3 1994 Dual multilevel optimization. Zbl 1145.90038Davis, Timothy A.; Hager, William W. 3 2008 Uniform channel decomposition for MIMO communications. Zbl 1370.94438Jiang, Yi; Li, Jian; Hager, William W. 3 2005 Convergence rates for an inexact ADMM applied to separable convex optimization. Zbl 1466.90072Hager, William W.; Zhang, Hongchao 3 2020 Training signal design for estimation of correlated MIMO channels with colored interference. Zbl 1391.94307Liu, Yong; Wong, Tan F.; Hager, William W. 2 2007 An inexact accelerated stochastic ADMM for separable convex optimization. Zbl 07490080Bai, Jianchao; Hager, William W.; Zhang, Hongchao 1 2022 Mesh refinement method for solving optimal control problems with nonsmooth solutions using jump function approximations. Zbl 07415956Miller, Alexander T.; Hager, William W.; Rao, Anil V. 1 2021 The switch point algorithm. Zbl 1468.49029Aghaee, Mahya; Hager, William W. 1 2021 Convergence rates for an inexact ADMM applied to separable convex optimization. Zbl 1466.90072Hager, William W.; Zhang, Hongchao 3 2020 Inexact alternating direction methods of multipliers for separable convex optimization. Zbl 1414.90228Hager, William W.; Zhang, Hongchao 6 2019 Convergence rate for a Radau hp collocation method applied to constrained optimal control. Zbl 1427.49038Hager, William W.; Hou, Hongyan; Mohapatra, Subhashree; Rao, Anil V.; Wang, Xiang-Sheng 3 2019 Bounds for integration matrices that arise in Gauss and Radau collocation. Zbl 1432.65110Chen, Wanchun; Du, Wenhao; Hager, William W.; Yang, Liang 2 2019 Correction to: “Convergence rate for a Radau hp collocation method applied to constrained optimal control”. Zbl 1427.49039Hager, William W.; Hou, Hongyan; Mohapatra, Subhashree; Rao, Anil V.; Wang, Xiang-Sheng 2 2019 Convergence rate for a Gauss collocation method applied to constrained optimal control. Zbl 1388.49031Hager, William W.; Liu, Jun; Mohapatra, Subhashree; Rao, Anil V.; Wang, Xiang-Sheng 7 2018 A multilevel bilinear programming algorithm for the vertex separator problem. Zbl 1394.90546Hager, William W.; Hungerford, James T.; Safro, Ilya 6 2018 Lebesgue constants arising in a class of collocation methods. Zbl 1433.41009Hager, William W.; Hou, Hongyan; Rao, Anil V. 5 2017 An \(\mathcal O(1/{k})\) convergence rate for the variable stepsize Bregman operator splitting algorithm. Zbl 1381.49009Hager, William W.; Yashtini, Maryam; Zhang, Hongchao 14 2016 Convergence rate for a Gauss collocation method applied to unconstrained optimal control. Zbl 1342.49042Hager, William W.; Hou, Hongyan; Rao, Anil V. 7 2016 Projection onto a polyhedron that exploits sparsity. Zbl 1346.90653Hager, William W.; Zhang, Hongchao 7 2016 An efficient hybrid algorithm for the separable convex quadratic knapsack problem. Zbl 1369.65072Davis, Timothy A.; Hager, William W.; Hungerford, James T. 7 2016 An active set algorithm for nonlinear optimization with polyhedral constraints. Zbl 1349.90619Hager, William W.; Zhang, Hongchao 6 2016 Projection algorithms for nonconvex minimization with application to sparse principal component analysis. Zbl 1353.90118Hager, William W.; Phan, Dzung T.; Zhu, Jiajie 2 2016 A \(ph\) mesh refinement method for optimal control. Zbl 1329.49048Patterson, Michael A.; Hager, William W.; Rao, Anil V. 21 2015 An alternating direction approximate Newton algorithm for ill-conditioned inverse problems with application to parallel MRI. Zbl 1317.90235Hager, William; Ngo, Cuong; Yashtini, Maryam; Zhang, Hong-Chao 14 2015 Adaptive mesh refinement method for optimal control using nonsmoothness detection and mesh size reduction. Zbl 1395.93303Liu, Fengjin; Hager, William W.; Rao, Anil V. 9 2015 Costate approximation in optimal control using integral Gaussian quadrature orthogonal collocation methods. Zbl 1329.49045Françolin, Camila C.; Benson, David A.; Hager, William W.; Rao, Anil V. 9 2015 Continuous quadratic programming formulations of optimization problems on graphs. Zbl 1357.90166Hager, William W.; Hungerford, James T. 9 2015 An efficient gradient method using the Yuan steplength. Zbl 1310.90082De Asmundis, Roberta; Di Serafino, Daniela; Hager, William W.; Toraldo, Gerardo; Zhang, Hongchao 38 2014 An affine scaling method for optimization problems with polyhedral constraints. Zbl 1303.90100Hager, William W.; Zhang, Hongchao 5 2014 Optimality conditions for maximizing a function over a polyhedron. Zbl 1298.90127Hager, William W.; Hungerford, James T. 4 2014 Error estimation in nonlinear optimization. Zbl 1325.90088Hager, William W.; Mico-Umutesi, Delphine 2 2014 The limited memory conjugate gradient method. Zbl 1298.90129Hager, William W.; Zhang, Hongchao 43 2013 Bregman operator splitting with variable stepsize for total variation image reconstruction. Zbl 1290.90071Chen, Yunmei; Hager, William W.; Yashtini, Maryam; Ye, Xiaojing; Zhang, Hongchao 29 2013 An exact algorithm for graph partitioning. Zbl 1263.90115Hager, William W.; Phan, Dzung T.; Zhang, Hongchao 8 2013 Fast algorithms for image reconstruction with application to partially parallel MR imaging. Zbl 1247.90212Chen, Yunmei; Hager, William; Huang, Feng; Phan, Dzung; Ye, Xiaojing; Yin, Wotao 17 2012 The moduli space of \(1|1\)-dimensional complex associative algebras. Zbl 1285.16025Bodin, Derek; Decleene, Christopher; Hager, William; Otto, Carolyn; Penkava, Michael; Phillipson, Mitch; Steinbach, Ryan; Weber, Eric 1 2012 An \(hp\)-adaptive pseudospectral method for solving optimal control problems. Zbl 1266.49066Darby, Christopher L.; Hager, William W.; Rao, Anil V. 51 2011 Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method. Zbl 1226.49026Garg, Divya; Patterson, Michael A.; Francolin, Camila; Darby, Christopher L.; Huntington, Geoffrey T.; Hager, William W.; Rao, Anil V. 41 2011 Pseudospectral methods for solving infinite-horizon optimal control problems. Zbl 1215.49040Garg, Divya; Hager, William W.; Rao, Anil V. 32 2011 Gradient-based methods for sparse recovery. Zbl 1209.90266Hager, William W.; Phan, Dzung T.; Zhang, Hongchao 21 2011 An affine-scaling interior-point method for continuous knapsack constraints with application to support vector machines. Zbl 1218.90114Gonzalez-Lima, Maria D.; Hager, William W.; Zhang, Hongchao 10 2011 A unified framework for the numerical solution of optimal control problems using pseudospectral methods. Zbl 1219.49028Garg, Divya; Patterson, Michael; Hager, William W.; Rao, Anil V.; Benson, David A.; Huntington, Geoffrey T. 64 2010 A differential equation model for functional mapping of a virus-cell dynamic system. Zbl 1202.92043Luo, Jiangtao; Hager, William W.; Wu, Rongling 3 2010 Analysis of a quadratic programming decomposition algorithm. Zbl 1208.65082Bencteux, G.; Cancés, E.; Hager, W. W.; Le Bris, C. 1 2010 An affine-scaling interior-point CBB method for box-constrained optimization. Zbl 1168.90007Hager, William W.; Mair, Bernard A.; Zhang, Hongchao 23 2009 An ellipsoidal branch and bound algorithm for global optimization. Zbl 1198.90318Hager, William W.; Phan, Dzung T. 5 2009 Self-adaptive inexact proximal point methods. Zbl 1147.90414Hager, William W.; Zhang, Hongchao 16 2008 A generalized eigenproblem for the Laplacian which arises in lightning. Zbl 1137.35047Aslan, Beyza Caliskan; Hager, William W.; Moskow, Shari 8 2008 A sparse proximal implementation of the LP dual active set algorithm. Zbl 1146.90037Davis, Timothy A.; Hager, William W. 5 2008 Dual multilevel optimization. Zbl 1145.90038Davis, Timothy A.; Hager, William W. 3 2008 Domain decomposition and electronic structure computations: a promising approach. Zbl 1147.81022Bencteux, Guy; Barrault, Maxime; Cancès, Eric; Hager, William W.; Le Bris, Claude 2 2008 The change in electric potential due to lightning. Zbl 1152.35027Hager, William W.; Aslan, Beyza Caliskan 2 2008 The generalized triangular decomposition. Zbl 1135.15010Jiang, Yi; Hager, William W.; Li, Jian 2 2008 Multilevel domain decomposition for electronic structure calculations. Zbl 1147.81021Barrault, M.; Cancès, E.; Hager, W. W.; Le Bris, C. 6 2007 Asymptotic convergence analysis of a new class of proximal point methods. Zbl 1154.90009Hager, William W.; Zhang, Hongchao 6 2007 Training signal design for estimation of correlated MIMO channels with colored interference. Zbl 1391.94307Liu, Yong; Wong, Tan F.; Hager, William W. 2 2007 A survey of nonlinear conjugate gradient methods. Zbl 1117.90048Hager, William W.; Zhang, Hongchao 238 2006 Algorithm 851: CG_DESCENT, a conjugate gradient method with guaranteed descent. Zbl 1346.90816Hager, William W.; Zhang, Hongchao 135 2006 A new active set algorithm for box constrained optimization. Zbl 1165.90570Hager, William W.; Zhang, Hongchao 84 2006 The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao 64 2006 PACBB: a projected adaptive cyclic Barzilai-Borwein method for box constrained optimization. Zbl 1100.90050Zhang, Hongchao; Hager, William W. 4 2006 Recent advances in bound constrained optimization. Zbl 1219.90163Hager, W. W.; Zhang, H. 3 2006 Multiscale optimization methods and applications. Selected papers based on the presentation at the conference, Gainesville, FL, USA, February 26–28, 2004. Zbl 1087.90004 1 2006 Tunable channel decomposition for MIMO communications using channel state information. Zbl 1375.94074Jiang, Y.; Hager, W. W.; Li, J. 1 2006 A new conjugate gradient method with guaranteed descent and an efficient line search. Zbl 1093.90085Hager, William W.; Zhang, Hongchao 346 2005 Row modifications of a sparse Cholesky factorization. Zbl 1077.65026Davis, Timothy A.; Hager, William W. 11 2005 Global convergence of SSM for minimizing a quadratic over a sphere. Zbl 1059.90112Hager, William W.; Park, Soonchul 8 2005 Joint transceiver design for MIMO communications using geometric mean decomposition. Zbl 1370.94011Jiang, Yi; Li, Jian; Hager, William W. 4 2005 Uniform channel decomposition for MIMO communications. Zbl 1370.94438Jiang, Yi; Li, Jian; Hager, William W. 3 2005 The geometric mean decomposition. Zbl 1063.15009Jiang, Yi; Hager, William W.; Li, Jian 2 2005 A nonmonotone line search technique and its application to unconstrained optimization. Zbl 1073.90024Zhang, Hongchao; Hager, William W. 242 2004 The gradient projection method with exact line search. Zbl 1136.90513Hager, William W.; Park, Soonchul 8 2004 The dual active set algorithm and the iterative solution of linear programs. Zbl 1176.90398Hager, William W. 1 2003 Minimizing the profile of a symmetric matrix. Zbl 1014.65020Hager, William W. 7 2002 The dual active set algorithm and its application to linear programming. Zbl 1017.90061Hager, William W. 7 2002 Numerical analysis in optimal control. Zbl 1024.49026Hager, William W. 7 2002 Multiset graph partitioning. Zbl 1031.90053Hager, William W.; Krylyuk, Yaroslav 6 2002 The Euler approximation in state constrained optimal control. Zbl 0987.49017Dontchev, A. L.; Hager, William W. 48 2001 Minimizing a quadratic over a sphere. Zbl 1058.90045Hager, William W. 47 2001 Multiple-rank modifications of a sparse Cholesky factorization. Zbl 1049.65021Davis, Timothy A.; Hager, William W. 13 2001 Runge-Kutta methods in optimal control and the transformed adjoint system. Zbl 0991.49020Hager, William W. 112 2000 Second-order Runge-Kutta approximations in control constrained optimal control. Zbl 0968.49022Dontchev, A. L.; Hager, William W.; Veliov, Vladimir M. 65 2000 Error bounds for Euler approximation of a state and control constrained optimal control problem. Zbl 0969.49013Dontchev, A. L.; Hager, W. W.; Malanowski, K. 27 2000 Uniform convergence and mesh independence of Newton’s method for discretized variational problems. Zbl 0979.49023Dontchev, A. L.; Hager, W. W.; Veliov, V. M. 16 2000 Iterative methods for nearly singular linear systems. Zbl 0967.65043Hager, William W. 5 2000 On quantitative stability in optimization and optimal control. Zbl 0967.49013Dontchev, A. L.; Hager, W. W.; Malanowski, K.; Veliov, V. M. 4 2000 Runge-Kutta discretizations of optimal control problems. Zbl 0989.93005Hager, William W. 2 2000 The wave annihilation technique and the design of nonreflective coatings. Zbl 0991.74043Hager, William W.; Rostamian, Rouben; Wang, Dongxing 1 2000 Stabilized sequential quadratic programming. Zbl 1040.90566Hager, William W. 37 1999 Stability in the presence of degeneracy and error estimation. Zbl 0956.90049Hager, William W.; Gowda, M. Seetharama 29 1999 Graph partitioning and continuous quadratic programming. Zbl 0972.90086Hager, William W.; Krylyuk, Yaroslav 18 1999 Modifying a sparse Cholesky factorization. Zbl 0929.65012Davis, Timothy A.; Hager, William W. 15 1999 Lipschitzian stability for state constrained nonlinear optimal control. Zbl 0917.49025Dontchev, A. L.; Hager, W. W. 18 1998 A new approach to Lipschitz continuity in state constrained optimal control. Zbl 0988.49017Dontchev, A. L.; Hager, William W. 11 1998 The LP dual active set algorithm. Zbl 0942.65060Hager, William W. 4 1998 Optimal control: theory, algorithms, and applications. Proceedings of a conference, University of Florida, Gainesville, FL, USA, February 27–March 1, 1997. Zbl 0890.00045 2 1998 A discrete model for the lightning discharge. Zbl 1392.78004Hager, William W. 1 1998 Implicit functions defined by generalized equations. Zbl 0856.49020Dontchev, Asen L.; Hager, William W. 1 1996 Optimality, stability, and convergence in nonlinear control. Zbl 0821.49022Dontchev, A. L.; Hager, W. W.; Poore, A. B.; Yang, Bing 35 1995 Linear programming approaches to the convex hull problem in \(\mathbb{R}^ m\). Zbl 0831.90085Pardalos, P. M.; Li, Y.; Hager, W. W. 2 1995 An inverse mapping theorem for set-valued maps. Zbl 0804.49021Dontchev, A. L.; Hager, W. W. 53 1994 Implicit functions, Lipschitz maps, and stability in optimization. Zbl 0835.49019Dontchev, Asen L.; Hager, William W. 32 1994 Euler approximation of the feasible set. Zbl 0833.65060Dontchev, A. L.; Hager, William W. 3 1994 Large scale optimization. State of the art. Papers presented at the conference, held February 15-17, 1993 at the University of Florida, Gainesville, FL, USA. Zbl 0795.00025 2 1994 Lipschitzian stability in nonlinear control and optimization. Zbl 0779.49032Dontchev, Asen L.; Hager, William W. 52 1993 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,899 Authors 62 Hager, William W. 34 Babaie-Kafaki, Saman 25 Zhang, Hongchao 22 Andrei, Neculai 21 Dontchev, Asen L. 21 Liu, Hongwei 20 Izmailov, Alekseĭ F. 18 Baccouch, Mahboub 17 Ghanbari, Reza 17 Liu, Zexian 17 Malanowski, Kazimierz D. 17 Veliov, Vladimir M. 17 Yuan, Gonglin 16 Cheng, Wanyou 16 Dong, Xiaoliang 16 Li, Donghui 16 Solodov, Mikhail V. 16 Waziri, Mohammed Yusuf 15 Martínez, José Mario 15 Rao, Anil V. 14 Dai, Yu-Hong 14 Wei, Zengxin 14 Xiao, Yunhai 13 Amini, Keyvan 13 Bala Abubakar, Auwal 13 Kimiaei, Morteza 13 Ou, Yigui 12 Huang, Yakui 12 Shen, Chungen 11 Alt, Walter 11 Birgin, Ernesto G. 11 Dai, Zhifeng 11 Jian, Jinbao 11 Kumam, Poom 11 Tang, Jingyong 11 Tröltzsch, Fredi 10 Ahookhosh, Masoud 10 Campbell, Stephen LaVern 10 Geoffroy, Michel H. 10 Wen, Zaiwen 9 Gerdts, Matthias 9 Gonçalves, Max L. 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