## Hager, William W.

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 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
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### 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
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### 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
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### 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)

### 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 1093.90085
Hager, William W.; Zhang, Hongchao
2005
A nonmonotone line search technique and its application to unconstrained optimization. Zbl 1073.90024
Zhang, Hongchao; Hager, William W.
2004
A survey of nonlinear conjugate gradient methods. Zbl 1117.90048
Hager, William W.; Zhang, Hongchao
2006
Algorithm 851: CG_DESCENT, a conjugate gradient method with guaranteed descent. Zbl 1346.90816
Hager, William W.; Zhang, Hongchao
2006
Updating the inverse of a matrix. Zbl 0671.65018
Hager, William W.
1989
Runge-Kutta methods in optimal control and the transformed adjoint system. Zbl 0991.49020
Hager, William W.
2000
Error estimates for the finite element solution of variational inequalities. Part I. primal theory. Zbl 0369.65030
Brezzi, Franco; Hager, William W.; Raviart, P. A.
1977
Discontinuous Galerkin methods for ordinary differential equations. Zbl 0469.65053
Delfour, M.; Hager, W.; Trochu, F.
1981
A new active set algorithm for box constrained optimization. Zbl 1165.90570
Hager, William W.; Zhang, Hongchao
2006
Lipschitz continuity for constrained processes. Zbl 0426.90083
Hager, William W.
1979
Second-order Runge-Kutta approximations in control constrained optimal control. Zbl 0968.49022
Dontchev, A. L.; Hager, William W.; Veliov, Vladimir M.
2000
The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315
Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao
2006
A unified framework for the numerical solution of optimal control problems using pseudospectral methods. Zbl 1219.49028
Garg, Divya; Patterson, Michael; Hager, William W.; Rao, Anil V.; Benson, David A.; Huntington, Geoffrey T.
2010
An inverse mapping theorem for set-valued maps. Zbl 0804.49021
Dontchev, A. L.; Hager, W. W.
1994
Applied numerical linear algebra. Zbl 0665.65021
Hager, William W.
1988
Lipschitzian stability in nonlinear control and optimization. Zbl 0779.49032
Dontchev, Asen L.; Hager, William W.
1993
An $$hp$$-adaptive pseudospectral method for solving optimal control problems. Zbl 1266.49066
Darby, Christopher L.; Hager, William W.; Rao, Anil V.
2011
Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods. Zbl 0427.65077
Brezzi, Franco; Hager, William W.; Raviart, P. A.
1978
The Euler approximation in state constrained optimal control. Zbl 0987.49017
Dontchev, A. L.; Hager, William W.
2001
Minimizing a quadratic over a sphere. Zbl 1058.90045
Hager, William W.
2001
The limited memory conjugate gradient method. Zbl 1298.90129
Hager, William W.; Zhang, Hongchao
2013
Condition estimates. Zbl 0542.65023
Hager, William W.
1984
Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method. Zbl 1226.49026
Garg, Divya; Patterson, Michael A.; Francolin, Camila; Darby, Christopher L.; Huntington, Geoffrey T.; Hager, William W.; Rao, Anil V.
2011
An efficient gradient method using the Yuan steplength. Zbl 1310.90082
De Asmundis, Roberta; Di Serafino, Daniela; Hager, William W.; Toraldo, Gerardo; Zhang, Hongchao
2014
Stabilized sequential quadratic programming. Zbl 1040.90566
Hager, William W.
1999
Optimality, stability, and convergence in nonlinear control. Zbl 0821.49022
Dontchev, A. L.; Hager, W. W.; Poore, A. B.; Yang, Bing
1995
Implicit functions, Lipschitz maps, and stability in optimization. Zbl 0835.49019
Dontchev, Asen L.; Hager, William W.
1994
Pseudospectral methods for solving infinite-horizon optimal control problems. Zbl 1215.49040
Garg, Divya; Hager, William W.; Rao, Anil V.
2011
Multiplier methods for nonlinear optimal control. Zbl 0717.49024
Hager, William W.
1990
Stability in the presence of degeneracy and error estimation. Zbl 0956.90049
Hager, William W.; Gowda, M. Seetharama
1999
Bregman operator splitting with variable stepsize for total variation image reconstruction. Zbl 1290.90071
Chen, Yunmei; Hager, William W.; Yashtini, Maryam; Ye, Xiaojing; Zhang, Hongchao
2013
Error bounds for Euler approximation of a state and control constrained optimal control problem. Zbl 0969.49013
Dontchev, A. L.; Hager, W. W.; Malanowski, K.
2000
An affine-scaling interior-point CBB method for box-constrained optimization. Zbl 1168.90007
Hager, William W.; Mair, Bernard A.; Zhang, Hongchao
2009
Gradient-based methods for sparse recovery. Zbl 1209.90266
Hager, William W.; Phan, Dzung T.; Zhang, Hongchao
2011
A $$ph$$ mesh refinement method for optimal control. Zbl 1329.49048
Patterson, Michael A.; Hager, William W.; Rao, Anil V.
2015
Lipschitzian stability for state constrained nonlinear optimal control. Zbl 0917.49025
Dontchev, A. L.; Hager, W. W.
1998
Dual approximations in optimal control. Zbl 0555.49022
Hager, William W.; Ianculescu, George D.
1984
Graph partitioning and continuous quadratic programming. Zbl 0972.90086
Hager, William W.; Krylyuk, Yaroslav
1999
Fast algorithms for image reconstruction with application to partially parallel MR imaging. Zbl 1247.90212
Chen, Yunmei; Hager, William; Huang, Feng; Phan, Dzung; Ye, Xiaojing; Yin, Wotao
2012
Lagrange duality theory for convex control problems. Zbl 0336.49007
Hager, William W.; Mitter, Sanjoy K.
1976
Uniform convergence and mesh independence of Newton’s method for discretized variational problems. Zbl 0979.49023
Dontchev, A. L.; Hager, W. W.; Veliov, V. M.
2000
Analysis and implementation of a dual algorithm for constrained optimization. Zbl 0797.90092
Hager, W. W.
1993
Self-adaptive inexact proximal point methods. Zbl 1147.90414
Hager, William W.; Zhang, Hongchao
2008
Modifying a sparse Cholesky factorization. Zbl 0929.65012
Davis, Timothy A.; Hager, William W.
1999
Convergence and stability properties of the discrete Riccati operator equation and the associated optimal control and filtering problems. Zbl 0328.93028
Hager, William W.; Horowitz, Larry L.
1976
An $$\mathcal O(1/{k})$$ convergence rate for the variable stepsize Bregman operator splitting algorithm. Zbl 1381.49009
Hager, William W.; Yashtini, Maryam; Zhang, Hongchao
2016
An alternating direction approximate Newton algorithm for ill-conditioned inverse problems with application to parallel MRI. Zbl 1317.90235
Hager, William; Ngo, Cuong; Yashtini, Maryam; Zhang, Hong-Chao
2015
The Ritz-Trefftz method for state and control constrained optimal control problems. Zbl 0322.49021
Hager, William W.
1975
Multiple-rank modifications of a sparse Cholesky factorization. Zbl 1049.65021
Davis, Timothy A.; Hager, William W.
2001
Rates of convergence for discrete approximations to unconstrained control problems. Zbl 0368.65036
Hager, William W.
1976
A new approach to Lipschitz continuity in state constrained optimal control. Zbl 0988.49017
Dontchev, A. L.; Hager, William W.
1998
Row modifications of a sparse Cholesky factorization. Zbl 1077.65026
Davis, Timothy A.; Hager, William W.
2005
Application of the dual active set algorithm to quadratic network optimization. Zbl 0791.90053
Hager, William W.; Hearn, Donald W.
1993
An affine-scaling interior-point method for continuous knapsack constraints with application to support vector machines. Zbl 1218.90114
Gonzalez-Lima, Maria D.; Hager, William W.; Zhang, Hongchao
2011
Active constraints, indefinite quadratic test problems, and complexity. Zbl 0697.90059
Hager, W. W.; Pardalos, P. M.; Roussos, I. M.; Sahinoglou, H. D.
1991
Adaptive mesh refinement method for optimal control using nonsmoothness detection and mesh size reduction. Zbl 1395.93303
Liu, Fengjin; Hager, William W.; Rao, Anil V.
2015
Costate approximation in optimal control using integral Gaussian quadrature orthogonal collocation methods. Zbl 1329.49045
Françolin, Camila C.; Benson, David A.; Hager, William W.; Rao, Anil V.
2015
Continuous quadratic programming formulations of optimization problems on graphs. Zbl 1357.90166
Hager, William W.; Hungerford, James T.
2015
The gradient projection method with exact line search. Zbl 1136.90513
Hager, William W.; Park, Soonchul
2004
Global convergence of SSM for minimizing a quadratic over a sphere. Zbl 1059.90112
Hager, William W.; Park, Soonchul
2005
Dual techniques for constrained optimization. Zbl 0622.90075
Hager, W. W.
1987
An exact algorithm for graph partitioning. Zbl 1263.90115
Hager, William W.; Phan, Dzung T.; Zhang, Hongchao
2013
A generalized eigenproblem for the Laplacian which arises in lightning. Zbl 1137.35047
Aslan, Beyza Caliskan; Hager, William W.; Moskow, Shari
2008
Convergence rate for a Gauss collocation method applied to constrained optimal control. Zbl 1388.49031
Hager, William W.; Liu, Jun; Mohapatra, Subhashree; Rao, Anil V.; Wang, Xiang-Sheng
2018
Minimizing the profile of a symmetric matrix. Zbl 1014.65020
Hager, William W.
2002
The dual active set algorithm and its application to linear programming. Zbl 1017.90061
Hager, William W.
2002
Numerical analysis in optimal control. Zbl 1024.49026
Hager, William W.
2002
Convergence rate for a Gauss collocation method applied to unconstrained optimal control. Zbl 1342.49042
Hager, William W.; Hou, Hongyan; Rao, Anil V.
2016
Projection onto a polyhedron that exploits sparsity. Zbl 1346.90653
Hager, William W.; Zhang, Hongchao
2016
An efficient hybrid algorithm for the separable convex quadratic knapsack problem. Zbl 1369.65072
Davis, Timothy A.; Hager, William W.; Hungerford, James T.
2016
Inexact alternating direction methods of multipliers for separable convex optimization. Zbl 1414.90228
Hager, William W.; Zhang, Hongchao
2019
A multilevel bilinear programming algorithm for the vertex separator problem. Zbl 1394.90546
Hager, William W.; Hungerford, James T.; Safro, Ilya
2018
Multilevel domain decomposition for electronic structure calculations. Zbl 1147.81021
Barrault, M.; Cancès, E.; Hager, W. W.; Le Bris, C.
2007
Multiset graph partitioning. Zbl 1031.90053
Hager, William W.; Krylyuk, Yaroslav
2002
The dual active set algorithm. Zbl 0814.90106
Hager, William W.
1992
Asymptotic convergence analysis of a new class of proximal point methods. Zbl 1154.90009
Hager, William W.; Zhang, Hongchao
2007
An active set algorithm for nonlinear optimization with polyhedral constraints. Zbl 1349.90619
Hager, William W.; Zhang, Hongchao
2016
Lebesgue constants arising in a class of collocation methods. Zbl 1433.41009
Hager, William W.; Hou, Hongyan; Rao, Anil V.
2017
An ellipsoidal branch and bound algorithm for global optimization. Zbl 1198.90318
Hager, William W.; Phan, Dzung T.
2009
Iterative methods for nearly singular linear systems. Zbl 0967.65043
Hager, William W.
2000
An affine scaling method for optimization problems with polyhedral constraints. Zbl 1303.90100
Hager, William W.; Zhang, Hongchao
2014
A sparse proximal implementation of the LP dual active set algorithm. Zbl 1146.90037
Davis, Timothy A.; Hager, William W.
2008
PACBB: a projected adaptive cyclic Barzilai-Borwein method for box constrained optimization. Zbl 1100.90050
Zhang, Hongchao; Hager, William W.
2006
The LP dual active set algorithm. Zbl 0942.65060
Hager, William W.
1998
A derivative-based bracketing scheme for univariate minimization and the conjugate gradient method. Zbl 0684.65063
Hager, W. W.
1989
On quantitative stability in optimization and optimal control. Zbl 0967.49013
Dontchev, A. L.; Hager, W. W.; Malanowski, K.; Veliov, V. M.
2000
Optimality conditions for maximizing a function over a polyhedron. Zbl 1298.90127
Hager, William W.; Hungerford, James T.
2014
Joint transceiver design for MIMO communications using geometric mean decomposition. Zbl 1370.94011
Jiang, Yi; Li, Jian; Hager, William W.
2005
Convergence rate for a Radau hp collocation method applied to constrained optimal control. Zbl 1427.49038
Hager, William W.; Hou, Hongyan; Mohapatra, Subhashree; Rao, Anil V.; Wang, Xiang-Sheng
2019
Recent advances in bound constrained optimization. Zbl 1219.90163
Hager, W. W.; Zhang, H.
2006
A differential equation model for functional mapping of a virus-cell dynamic system. Zbl 1202.92043
Luo, Jiangtao; Hager, William W.; Wu, Rongling
2010
Approximations to the multiplier method. Zbl 0572.65052
Hager, William W.
1985
Optimal coatings, bang-bang controls, and gradient techniques. Zbl 0614.49010
Hager, William W.; Rostamian, Rouben
1987
Dual techniques for minimax. Zbl 0628.49009
Hager, William W.; Presler, Dwayne L.
1987
On Robinson’s implicit function theorems. Zbl 0790.49016
Dontchev, Asen L.; Hager, William W.
1993
Euler approximation of the feasible set. Zbl 0833.65060
Dontchev, A. L.; Hager, William W.
1994
Dual multilevel optimization. Zbl 1145.90038
Davis, Timothy A.; Hager, William W.
2008
Uniform channel decomposition for MIMO communications. Zbl 1370.94438
Jiang, Yi; Li, Jian; Hager, William W.
2005
Convergence rates for an inexact ADMM applied to separable convex optimization. Zbl 1466.90072
Hager, William W.; Zhang, Hongchao
2020
Training signal design for estimation of correlated MIMO channels with colored interference. Zbl 1391.94307
Liu, Yong; Wong, Tan F.; Hager, William W.
2007
An inexact accelerated stochastic ADMM for separable convex optimization. Zbl 07490080
Bai, Jianchao; Hager, William W.; Zhang, Hongchao
2022
Mesh refinement method for solving optimal control problems with nonsmooth solutions using jump function approximations. Zbl 07415956
Miller, Alexander T.; Hager, William W.; Rao, Anil V.
2021
The switch point algorithm. Zbl 1468.49029
Aghaee, Mahya; Hager, William W.
2021
Convergence rates for an inexact ADMM applied to separable convex optimization. Zbl 1466.90072
Hager, William W.; Zhang, Hongchao
2020
Inexact alternating direction methods of multipliers for separable convex optimization. Zbl 1414.90228
Hager, William W.; Zhang, Hongchao
2019
Convergence rate for a Radau hp collocation method applied to constrained optimal control. Zbl 1427.49038
Hager, William W.; Hou, Hongyan; Mohapatra, Subhashree; Rao, Anil V.; Wang, Xiang-Sheng
2019
Bounds for integration matrices that arise in Gauss and Radau collocation. Zbl 1432.65110
Chen, Wanchun; Du, Wenhao; Hager, William W.; Yang, Liang
2019
Correction to: “Convergence rate for a Radau hp collocation method applied to constrained optimal control”. Zbl 1427.49039
Hager, William W.; Hou, Hongyan; Mohapatra, Subhashree; Rao, Anil V.; Wang, Xiang-Sheng
2019
Convergence rate for a Gauss collocation method applied to constrained optimal control. Zbl 1388.49031
Hager, William W.; Liu, Jun; Mohapatra, Subhashree; Rao, Anil V.; Wang, Xiang-Sheng
2018
A multilevel bilinear programming algorithm for the vertex separator problem. Zbl 1394.90546
Hager, William W.; Hungerford, James T.; Safro, Ilya
2018
Lebesgue constants arising in a class of collocation methods. Zbl 1433.41009
Hager, William W.; Hou, Hongyan; Rao, Anil V.
2017
An $$\mathcal O(1/{k})$$ convergence rate for the variable stepsize Bregman operator splitting algorithm. Zbl 1381.49009
Hager, William W.; Yashtini, Maryam; Zhang, Hongchao
2016
Convergence rate for a Gauss collocation method applied to unconstrained optimal control. Zbl 1342.49042
Hager, William W.; Hou, Hongyan; Rao, Anil V.
2016
Projection onto a polyhedron that exploits sparsity. Zbl 1346.90653
Hager, William W.; Zhang, Hongchao
2016
An efficient hybrid algorithm for the separable convex quadratic knapsack problem. Zbl 1369.65072
Davis, Timothy A.; Hager, William W.; Hungerford, James T.
2016
An active set algorithm for nonlinear optimization with polyhedral constraints. Zbl 1349.90619
Hager, William W.; Zhang, Hongchao
2016
Projection algorithms for nonconvex minimization with application to sparse principal component analysis. Zbl 1353.90118
Hager, William W.; Phan, Dzung T.; Zhu, Jiajie
2016
A $$ph$$ mesh refinement method for optimal control. Zbl 1329.49048
Patterson, Michael A.; Hager, William W.; Rao, Anil V.
2015
An alternating direction approximate Newton algorithm for ill-conditioned inverse problems with application to parallel MRI. Zbl 1317.90235
Hager, William; Ngo, Cuong; Yashtini, Maryam; Zhang, Hong-Chao
2015
Adaptive mesh refinement method for optimal control using nonsmoothness detection and mesh size reduction. Zbl 1395.93303
Liu, Fengjin; Hager, William W.; Rao, Anil V.
2015
Costate approximation in optimal control using integral Gaussian quadrature orthogonal collocation methods. Zbl 1329.49045
Françolin, Camila C.; Benson, David A.; Hager, William W.; Rao, Anil V.
2015
Continuous quadratic programming formulations of optimization problems on graphs. Zbl 1357.90166
Hager, William W.; Hungerford, James T.
2015
An efficient gradient method using the Yuan steplength. Zbl 1310.90082
De Asmundis, Roberta; Di Serafino, Daniela; Hager, William W.; Toraldo, Gerardo; Zhang, Hongchao
2014
An affine scaling method for optimization problems with polyhedral constraints. Zbl 1303.90100
Hager, William W.; Zhang, Hongchao
2014
Optimality conditions for maximizing a function over a polyhedron. Zbl 1298.90127
Hager, William W.; Hungerford, James T.
2014
Error estimation in nonlinear optimization. Zbl 1325.90088
Hager, William W.; Mico-Umutesi, Delphine
2014
The limited memory conjugate gradient method. Zbl 1298.90129
Hager, William W.; Zhang, Hongchao
2013
Bregman operator splitting with variable stepsize for total variation image reconstruction. Zbl 1290.90071
Chen, Yunmei; Hager, William W.; Yashtini, Maryam; Ye, Xiaojing; Zhang, Hongchao
2013
An exact algorithm for graph partitioning. Zbl 1263.90115
Hager, William W.; Phan, Dzung T.; Zhang, Hongchao
2013
Fast algorithms for image reconstruction with application to partially parallel MR imaging. Zbl 1247.90212
Chen, Yunmei; Hager, William; Huang, Feng; Phan, Dzung; Ye, Xiaojing; Yin, Wotao
2012
The moduli space of $$1|1$$-dimensional complex associative algebras. Zbl 1285.16025
Bodin, Derek; Decleene, Christopher; Hager, William; Otto, Carolyn; Penkava, Michael; Phillipson, Mitch; Steinbach, Ryan; Weber, Eric
2012
An $$hp$$-adaptive pseudospectral method for solving optimal control problems. Zbl 1266.49066
Darby, Christopher L.; Hager, William W.; Rao, Anil V.
2011
Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method. Zbl 1226.49026
Garg, Divya; Patterson, Michael A.; Francolin, Camila; Darby, Christopher L.; Huntington, Geoffrey T.; Hager, William W.; Rao, Anil V.
2011
Pseudospectral methods for solving infinite-horizon optimal control problems. Zbl 1215.49040
Garg, Divya; Hager, William W.; Rao, Anil V.
2011
Gradient-based methods for sparse recovery. Zbl 1209.90266
Hager, William W.; Phan, Dzung T.; Zhang, Hongchao
2011
An affine-scaling interior-point method for continuous knapsack constraints with application to support vector machines. Zbl 1218.90114
Gonzalez-Lima, Maria D.; Hager, William W.; Zhang, Hongchao
2011
A unified framework for the numerical solution of optimal control problems using pseudospectral methods. Zbl 1219.49028
Garg, Divya; Patterson, Michael; Hager, William W.; Rao, Anil V.; Benson, David A.; Huntington, Geoffrey T.
2010
A differential equation model for functional mapping of a virus-cell dynamic system. Zbl 1202.92043
Luo, Jiangtao; Hager, William W.; Wu, Rongling
2010
Analysis of a quadratic programming decomposition algorithm. Zbl 1208.65082
Bencteux, G.; Cancés, E.; Hager, W. W.; Le Bris, C.
2010
An affine-scaling interior-point CBB method for box-constrained optimization. Zbl 1168.90007
Hager, William W.; Mair, Bernard A.; Zhang, Hongchao
2009
An ellipsoidal branch and bound algorithm for global optimization. Zbl 1198.90318
Hager, William W.; Phan, Dzung T.
2009
Self-adaptive inexact proximal point methods. Zbl 1147.90414
Hager, William W.; Zhang, Hongchao
2008
A generalized eigenproblem for the Laplacian which arises in lightning. Zbl 1137.35047
Aslan, Beyza Caliskan; Hager, William W.; Moskow, Shari
2008
A sparse proximal implementation of the LP dual active set algorithm. Zbl 1146.90037
Davis, Timothy A.; Hager, William W.
2008
Dual multilevel optimization. Zbl 1145.90038
Davis, Timothy A.; Hager, William W.
2008
Domain decomposition and electronic structure computations: a promising approach. Zbl 1147.81022
Bencteux, Guy; Barrault, Maxime; Cancès, Eric; Hager, William W.; Le Bris, Claude
2008
The change in electric potential due to lightning. Zbl 1152.35027
Hager, William W.; Aslan, Beyza Caliskan
2008
The generalized triangular decomposition. Zbl 1135.15010
Jiang, Yi; Hager, William W.; Li, Jian
2008
Multilevel domain decomposition for electronic structure calculations. Zbl 1147.81021
Barrault, M.; Cancès, E.; Hager, W. W.; Le Bris, C.
2007
Asymptotic convergence analysis of a new class of proximal point methods. Zbl 1154.90009
Hager, William W.; Zhang, Hongchao
2007
Training signal design for estimation of correlated MIMO channels with colored interference. Zbl 1391.94307
Liu, Yong; Wong, Tan F.; Hager, William W.
2007
A survey of nonlinear conjugate gradient methods. Zbl 1117.90048
Hager, William W.; Zhang, Hongchao
2006
Algorithm 851: CG_DESCENT, a conjugate gradient method with guaranteed descent. Zbl 1346.90816
Hager, William W.; Zhang, Hongchao
2006
A new active set algorithm for box constrained optimization. Zbl 1165.90570
Hager, William W.; Zhang, Hongchao
2006
The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315
Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao
2006
PACBB: a projected adaptive cyclic Barzilai-Borwein method for box constrained optimization. Zbl 1100.90050
Zhang, Hongchao; Hager, William W.
2006
Recent advances in bound constrained optimization. Zbl 1219.90163
Hager, W. W.; Zhang, H.
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
2006
Tunable channel decomposition for MIMO communications using channel state information. Zbl 1375.94074
Jiang, Y.; Hager, W. W.; Li, J.
2006
A new conjugate gradient method with guaranteed descent and an efficient line search. Zbl 1093.90085
Hager, William W.; Zhang, Hongchao
2005
Row modifications of a sparse Cholesky factorization. Zbl 1077.65026
Davis, Timothy A.; Hager, William W.
2005
Global convergence of SSM for minimizing a quadratic over a sphere. Zbl 1059.90112
Hager, William W.; Park, Soonchul
2005
Joint transceiver design for MIMO communications using geometric mean decomposition. Zbl 1370.94011
Jiang, Yi; Li, Jian; Hager, William W.
2005
Uniform channel decomposition for MIMO communications. Zbl 1370.94438
Jiang, Yi; Li, Jian; Hager, William W.
2005
The geometric mean decomposition. Zbl 1063.15009
Jiang, Yi; Hager, William W.; Li, Jian
2005
A nonmonotone line search technique and its application to unconstrained optimization. Zbl 1073.90024
Zhang, Hongchao; Hager, William W.
2004
The gradient projection method with exact line search. Zbl 1136.90513
Hager, William W.; Park, Soonchul
2004
The dual active set algorithm and the iterative solution of linear programs. Zbl 1176.90398
Hager, William W.
2003
Minimizing the profile of a symmetric matrix. Zbl 1014.65020
Hager, William W.
2002
The dual active set algorithm and its application to linear programming. Zbl 1017.90061
Hager, William W.
2002
Numerical analysis in optimal control. Zbl 1024.49026
Hager, William W.
2002
Multiset graph partitioning. Zbl 1031.90053
Hager, William W.; Krylyuk, Yaroslav
2002
The Euler approximation in state constrained optimal control. Zbl 0987.49017
Dontchev, A. L.; Hager, William W.
2001
Minimizing a quadratic over a sphere. Zbl 1058.90045
Hager, William W.
2001
Multiple-rank modifications of a sparse Cholesky factorization. Zbl 1049.65021
Davis, Timothy A.; Hager, William W.
2001
Runge-Kutta methods in optimal control and the transformed adjoint system. Zbl 0991.49020
Hager, William W.
2000
Second-order Runge-Kutta approximations in control constrained optimal control. Zbl 0968.49022
Dontchev, A. L.; Hager, William W.; Veliov, Vladimir M.
2000
Error bounds for Euler approximation of a state and control constrained optimal control problem. Zbl 0969.49013
Dontchev, A. L.; Hager, W. W.; Malanowski, K.
2000
Uniform convergence and mesh independence of Newton’s method for discretized variational problems. Zbl 0979.49023
Dontchev, A. L.; Hager, W. W.; Veliov, V. M.
2000
Iterative methods for nearly singular linear systems. Zbl 0967.65043
Hager, William W.
2000
On quantitative stability in optimization and optimal control. Zbl 0967.49013
Dontchev, A. L.; Hager, W. W.; Malanowski, K.; Veliov, V. M.
2000
Runge-Kutta discretizations of optimal control problems. Zbl 0989.93005
Hager, William W.
2000
The wave annihilation technique and the design of nonreflective coatings. Zbl 0991.74043
Hager, William W.; Rostamian, Rouben; Wang, Dongxing
2000
Stabilized sequential quadratic programming. Zbl 1040.90566
Hager, William W.
1999
Stability in the presence of degeneracy and error estimation. Zbl 0956.90049
Hager, William W.; Gowda, M. Seetharama
1999
Graph partitioning and continuous quadratic programming. Zbl 0972.90086
Hager, William W.; Krylyuk, Yaroslav
1999
Modifying a sparse Cholesky factorization. Zbl 0929.65012
Davis, Timothy A.; Hager, William W.
1999
Lipschitzian stability for state constrained nonlinear optimal control. Zbl 0917.49025
Dontchev, A. L.; Hager, W. W.
1998
A new approach to Lipschitz continuity in state constrained optimal control. Zbl 0988.49017
Dontchev, A. L.; Hager, William W.
1998
The LP dual active set algorithm. Zbl 0942.65060
Hager, William W.
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
1998
A discrete model for the lightning discharge. Zbl 1392.78004
Hager, William W.
1998
Implicit functions defined by generalized equations. Zbl 0856.49020
Dontchev, Asen L.; Hager, William W.
1996
Optimality, stability, and convergence in nonlinear control. Zbl 0821.49022
Dontchev, A. L.; Hager, W. W.; Poore, A. B.; Yang, Bing
1995
Linear programming approaches to the convex hull problem in $$\mathbb{R}^ m$$. Zbl 0831.90085
Pardalos, P. M.; Li, Y.; Hager, W. W.
1995
An inverse mapping theorem for set-valued maps. Zbl 0804.49021
Dontchev, A. L.; Hager, W. W.
1994
Implicit functions, Lipschitz maps, and stability in optimization. Zbl 0835.49019
Dontchev, Asen L.; Hager, William W.
1994
Euler approximation of the feasible set. Zbl 0833.65060
Dontchev, A. L.; Hager, William W.
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
1994
Lipschitzian stability in nonlinear control and optimization. Zbl 0779.49032
Dontchev, Asen L.; Hager, William W.
1993
...and 32 more Documents
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### 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. N. 9 Hilout, Saïd 9 Li, Xiangli 9 Maurer, Helmut 9 Mohammad, Hassan 9 Mordukhovich, Boris S. 9 Yao, Shengwei 9 Yashtini, Maryam 9 Zanni, Luca 8 Borzì, Alfio 8 Gudi, Thirupathi 8 Peyghami, Mohammad Reza 8 Piétrus, Alain 8 Ruggiero, Valeria 8 Sabi’u, Jamilu 8 Sandu, Adrian 8 Wan, Zhong 8 Yuan, Ya-xiang 8 Zhang, Lei-Hong 7 Ahmed, Kabiru 7 Awwal, Aliyu Muhammed 7 Bonettini, Silvia 7 Brenner, Susanne Cecelia 7 di Serafino, Daniela 7 Dostál, Zdeněk 7 Esmaeili, Hamid 7 Jiang, Xianzhen 7 Leong, Wah June 7 Livieris, Ioannis E. 7 Pardalos, Panos M. 7 Pickenhain, Sabine 7 Pintelas, Panagiotis E. 7 Qu, Aiping 7 Rinaldi, Francesco 7 Robinson, Daniel P. 7 Santos, Sandra Augusta 7 Sun, Wenyu 7 Zhou, Jinchuan 7 Zhou, Weijun 6 Adjerid, Slimane 6 Aminifard, Zohre 6 Argyros, Ioannis Konstantinos 6 Ben Belgacem, Faker 6 Bonnans, Joseph Frédéric 6 Chen, Yunmei 6 Dempe, Stephan 6 Fang, Liang 6 Fischer, Andreas M. 6 He, Yubo 6 Karamzin, Dmitry Yu. 6 Kaya, C. Yalçin 6 Narushima, Yasushi 6 Ni, Qin 6 Oviedo, Harry 6 Porta, Federica 6 Qi, Liqun 6 Shi, Dongyang 6 Shi, Zhenjun 6 Teo, Kok Lay ...and 2,799 more Authors
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### Cited in 308 Serials

 151 Computational Optimization and Applications 104 Journal of Computational and Applied Mathematics 94 Applied Mathematics and Computation 86 Journal of Optimization Theory and Applications 63 Optimization Methods & Software 62 Optimization 61 Numerical Algorithms 42 Mathematical Programming. Series A. Series B 42 SIAM Journal on Optimization 40 Computers & Mathematics with Applications 36 Applied Numerical Mathematics 36 Optimization Letters 34 Journal of Scientific Computing 34 Mathematical Problems in Engineering 33 Computer Methods in Applied Mechanics and Engineering 32 International Journal of Computer Mathematics 30 Numerical Functional Analysis and Optimization 30 Numerische Mathematik 30 Journal of Global Optimization 30 Computational and Applied Mathematics 29 Journal of Mathematical Analysis and Applications 28 Journal of Computational Physics 27 SIAM Journal on Scientific Computing 25 Linear Algebra and its Applications 19 Mathematics of Computation 19 Applied Mathematics and Optimization 19 Automatica 19 Optimal Control Applications & Methods 17 Calcolo 17 European Journal of Operational Research 16 BIT 16 Journal of Inequalities and Applications 16 Journal of Applied Mathematics and Computing 14 International Journal of Control 14 Journal of the Franklin Institute 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Annals of Operations Research 14 Applied Mathematical Modelling 14 Journal of Industrial and Management Optimization 12 Mathematics and Computers in Simulation 12 SIAM Journal on Control and Optimization 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 International Journal for Numerical Methods in Engineering 11 Abstract and Applied Analysis 10 Numerical Linear Algebra with Applications 10 Set-Valued and Variational Analysis 10 Numerical Algebra, Control and Optimization 8 SIAM Journal on Numerical Analysis 8 Systems & Control Letters 8 Applied Mathematics Letters 8 Journal of the Operations Research Society of China 7 Mathematical Methods in the Applied Sciences 7 Computers & Operations Research 7 Asia-Pacific Journal of Operational Research 7 Journal of Applied Mathematics 7 Science China. Mathematics 7 Nonlinear Analysis. Theory, Methods & Applications 6 Inverse Problems 6 Computational Mechanics 6 Mathematical Methods of Operations Research 6 Optimization and Engineering 6 4OR 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Mathematical Programming Computation 5 Applicable Analysis 5 Journal of Fluid Mechanics 5 Aplikace Matematiky 5 Applications of Mathematics 5 Computational Mathematics and Mathematical Physics 5 Computational Statistics and Data Analysis 5 Journal of Mathematical Imaging and Vision 5 Set-Valued Analysis 5 Advances in Computational Mathematics 5 Vietnam Journal of Mathematics 5 RAIRO. Operations Research 5 Computational Methods in Applied Mathematics 5 Mediterranean Journal of Mathematics 5 SIAM Journal on Imaging Sciences 4 Computers and Fluids 4 Discrete Applied Mathematics 4 RAIRO. Analyse Numérique 4 Transactions of the American Mathematical Society 4 Acta Applicandae Mathematicae 4 SIAM Journal on Matrix Analysis and Applications 4 Neural Networks 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Applied and Computational Harmonic Analysis 4 Journal of Vibration and Control 4 Nonlinear Dynamics 4 Positivity 4 Discrete Dynamics in Nature and Society 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Systems Science and Complexity 4 Thai Journal of Mathematics 4 Inverse Problems and Imaging 4 Journal of Mathematical Modeling 3 Bulletin of the Australian Mathematical Society 3 International Journal of Systems Science 3 Journal of Mathematical Biology 3 Journal of the Mechanics and Physics of Solids ...and 208 more Serials
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### Cited in 53 Fields

 1,171 Numerical analysis (65-XX) 1,068 Operations research, mathematical programming (90-XX) 628 Calculus of variations and optimal control; optimization (49-XX) 169 Partial differential equations (35-XX) 154 Systems theory; control (93-XX) 112 Mechanics of deformable solids (74-XX) 81 Computer science (68-XX) 80 Ordinary differential equations (34-XX) 76 Linear and multilinear algebra; matrix theory (15-XX) 68 Operator theory (47-XX) 63 Information and communication theory, circuits (94-XX) 62 Statistics (62-XX) 60 Fluid mechanics (76-XX) 58 Biology and other natural sciences (92-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Mechanics of particles and systems (70-XX) 24 Probability theory and stochastic processes (60-XX) 23 Real functions (26-XX) 21 Combinatorics (05-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Functional analysis (46-XX) 16 Optics, electromagnetic theory (78-XX) 14 General topology (54-XX) 14 Geophysics (86-XX) 13 Integral equations (45-XX) 13 Classical thermodynamics, heat transfer (80-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Approximations and expansions (41-XX) 10 Quantum theory (81-XX) 7 Functions of a complex variable (30-XX) 6 Differential geometry (53-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Difference and functional equations (39-XX) 3 Special functions (33-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)