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Author ID: hager.william-w Recent zbMATH articles by "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
all top 5

Co-Authors

33 single-authored
26 Zhang, Hongchao
16 Rao, Anil V.
15 Dontchev, Asen L.
8 Davis, Timothy Alden
8 Rostamian, Rouben
7 Pardalos, Panos M.
5 Hou, Hongyan
5 Ianculescu, George D.
5 Jiang, Yi
5 Li, Jian
5 Phan, Dzung T.
4 Cancès, Eric
4 Hungerford, James T.
4 Le Bris, Claude
4 Veliov, Vladimir M.
3 Barrault, Maxime
3 Bencteux, Guy
3 Garg, Divya
3 Hearn, Donald W.
3 Mohapatra, Subhashree
3 Park, Soonchul
3 Patterson, Michael A.
3 Wang, Xiangsheng
3 Yashtini, Maryam
2 Aghaee, Mahya
2 Aslan, Beyza Caliskan
2 Benson, David A.
2 Bodin, Derek
2 Brezzi, Franco
2 Chen, Yunmei
2 Darby, Christopher L.
2 di Serafino, Daniela
2 Diffenderfer, James D.
2 Françolin, Camila C.
2 Ghosh, Nilotpal
2 Huntington, Geoffrey T.
2 Krylyuk, Yaroslav S.
2 Liu, Yong
2 Luo, Jiangtao
2 Malanowski, Kazimierz D.
2 Otto, Carolyn
2 Penkava, Michael
2 Phillipson, Mitch
2 Poore, Aubrey B.
2 Raviart, Pierre-Arnaud
2 Steinbach, Ryan
2 Toraldo, Gerardo
2 Wang, Dongxing
2 Weber, Eric S.
2 Wong, Tan F.
2 Yang, Bing
2 Ye, Xiaojing
2 Zhu, Jiajie
1 Agamawi, Yunus M.
1 Atkins, Summer
1 Bai, Jianchao
1 Brás, Carmo P.
1 Brooks, Jonathan
1 Chen, Guoxun
1 Chen, Wanchun
1 Cook, Cameron
1 Dai, Yu-Hong
1 Damlamian, Alain
1 De Asmundis, Roberta
1 DeCleene, Chris
1 Decleene, Christopher
1 Delfour, Michel Claude
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 Lenhart, Suzanne M.
1 Li, Yong
1 Liu, Fengjin
1 Liu, Jun
1 Mair, Bernard A.
1 Martcheva, Maia
1 Mico-Umutesi, Delphine
1 Miller, Alexander T.
1 Mitter, Sanjoy K.
1 Moskow, Shari
1 Ngo, Cuong
1 Nisbet, John S.
1 Pederson, Roger N.
1 Presler, Dwayne L.
1 Prokopyev, Oleg Alexan
1 Rockafellar, Ralph Tyrrell
1 Rogers, Joel C. W.
1 Roussos, Ioannis Markos
1 Safro, Ilya
1 Sahinoglou, H. D.
1 Sarmah, Purandar
...and 9 more Co-Authors
all top 5

Serials

19 Computational Optimization and Applications
11 SIAM Journal on Control and Optimization
8 SIAM Journal on Numerical Analysis
8 SIAM Journal on Optimization
7 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

Publications by Year

Citations contained in zbMATH Open

135 Publications have been cited 3,943 times in 2,628 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
444
2005
A survey of nonlinear conjugate gradient methods. Zbl 1117.90048
Hager, William W.; Zhang, Hongchao
318
2006
A nonmonotone line search technique and its application to unconstrained optimization. Zbl 1073.90024
Zhang, Hongchao; Hager, William W.
307
2004
Algorithm 851: CG_DESCENT, a conjugate gradient method with guaranteed descent. Zbl 1346.90816
Hager, William W.; Zhang, Hongchao
184
2006
Updating the inverse of a matrix. Zbl 0671.65018
Hager, William W.
156
1989
Runge-Kutta methods in optimal control and the transformed adjoint system. Zbl 0991.49020
Hager, William W.
143
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.
128
1977
Discontinuous Galerkin methods for ordinary differential equations. Zbl 0469.65053
Delfour, M.; Hager, W.; Trochu, F.
114
1981
A new active set algorithm for box constrained optimization. Zbl 1165.90570
Hager, William W.; Zhang, Hongchao
100
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.
86
2010
Lipschitz continuity for constrained processes. Zbl 0426.90083
Hager, William W.
81
1979
Second-order Runge-Kutta approximations in control constrained optimal control. Zbl 0968.49022
Dontchev, A. L.; Hager, William W.; Veliov, Vladimir M.
74
2000
Applied numerical linear algebra. Zbl 0665.65021
Hager, William W.
73
1988
The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315
Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao
70
2006
An \(hp\)-adaptive pseudospectral method for solving optimal control problems. Zbl 1266.49066
Darby, Christopher L.; Hager, William W.; Rao, Anil V.
70
2011
An inverse mapping theorem for set-valued maps. Zbl 0804.49021
Dontchev, A. L.; Hager, W. W.
60
1994
Lipschitzian stability in nonlinear control and optimization. Zbl 0779.49032
Dontchev, Asen L.; Hager, William W.
59
1993
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.
58
1978
Minimizing a quadratic over a sphere. Zbl 1058.90045
Hager, William W.
56
2001
The Euler approximation in state constrained optimal control. Zbl 0987.49017
Dontchev, A. L.; Hager, William W.
56
2001
The limited memory conjugate gradient method. Zbl 1298.90129
Hager, William W.; Zhang, Hongchao
52
2013
Condition estimates. Zbl 0542.65023
Hager, William W.
51
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.
50
2011
Pseudospectral methods for solving infinite-horizon optimal control problems. Zbl 1215.49040
Garg, Divya; Hager, William W.; Rao, Anil V.
48
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
47
2014
Stabilized sequential quadratic programming. Zbl 1040.90566
Hager, William W.
44
1999
Optimality, stability, and convergence in nonlinear control. Zbl 0821.49022
Dontchev, A. L.; Hager, W. W.; Poore, A. B.; Yang, Bing
41
1995
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
35
2013
Implicit functions, Lipschitz maps, and stability in optimization. Zbl 0835.49019
Dontchev, Asen L.; Hager, William W.
34
1994
Stability in the presence of degeneracy and error estimation. Zbl 0956.90049
Hager, William W.; Gowda, M. Seetharama
34
1999
Multiplier methods for nonlinear optimal control. Zbl 0717.49024
Hager, William W.
33
1990
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.
33
2000
A \(ph\) mesh refinement method for optimal control. Zbl 1329.49048
Patterson, Michael A.; Hager, William W.; Rao, Anil V.
30
2015
Gradient-based methods for sparse recovery. Zbl 1209.90266
Hager, William W.; Phan, Dzung T.; Zhang, Hongchao
26
2011
An affine-scaling interior-point CBB method for box-constrained optimization. Zbl 1168.90007
Hager, William W.; Mair, Bernard A.; Zhang, Hongchao
25
2009
Lipschitzian stability for state constrained nonlinear optimal control. Zbl 0917.49025
Dontchev, A. L.; Hager, W. W.
21
1998
Modifying a sparse Cholesky factorization. Zbl 0929.65012
Davis, Timothy A.; Hager, William W.
21
1999
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.
20
2015
Graph partitioning and continuous quadratic programming. Zbl 0972.90086
Hager, William W.; Krylyuk, Yaroslav
19
1999
Dual approximations in optimal control. Zbl 0555.49022
Hager, William W.; Ianculescu, George D.
19
1984
An inexact accelerated stochastic ADMM for separable convex optimization. Zbl 1487.90521
Bai, Jianchao; Hager, William W.; Zhang, Hongchao
19
2022
Self-adaptive inexact proximal point methods. Zbl 1147.90414
Hager, William W.; Zhang, Hongchao
18
2008
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
18
2012
Multiple-rank modifications of a sparse Cholesky factorization. Zbl 1049.65021
Davis, Timothy A.; Hager, William W.
18
2001
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
18
2015
Analysis and implementation of a dual algorithm for constrained optimization. Zbl 0797.90092
Hager, W. W.
17
1993
Lagrange duality theory for convex control problems. Zbl 0336.49007
Hager, William W.; Mitter, Sanjoy K.
17
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.
16
2000
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
16
2016
Rates of convergence for discrete approximations to unconstrained control problems. Zbl 0368.65036
Hager, William W.
15
1976
Row modifications of a sparse Cholesky factorization. Zbl 1077.65026
Davis, Timothy A.; Hager, William W.
15
2005
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.
15
1976
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.
15
2015
The Ritz-Trefftz method for state and control constrained optimal control problems. Zbl 0322.49021
Hager, William W.
13
1975
A new approach to Lipschitz continuity in state constrained optimal control. Zbl 0988.49017
Dontchev, A. L.; Hager, William W.
12
1998
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
12
2011
An exact algorithm for graph partitioning. Zbl 1263.90115
Hager, William W.; Phan, Dzung T.; Zhang, Hongchao
12
2013
Numerical analysis in optimal control. Zbl 1024.49026
Hager, William W.
12
2002
An active set algorithm for nonlinear optimization with polyhedral constraints. Zbl 1349.90619
Hager, William W.; Zhang, Hongchao
11
2016
Active constraints, indefinite quadratic test problems, and complexity. Zbl 0697.90059
Hager, W. W.; Pardalos, P. M.; Roussos, I. M.; Sahinoglou, H. D.
11
1991
Projection onto a polyhedron that exploits sparsity. Zbl 1346.90653
Hager, William W.; Zhang, Hongchao
11
2016
Dual techniques for constrained optimization. Zbl 0622.90075
Hager, W. W.
10
1987
Global convergence of SSM for minimizing a quadratic over a sphere. Zbl 1059.90112
Hager, William W.; Park, Soonchul
10
2005
Convergence rate for a Gauss collocation method applied to unconstrained optimal control. Zbl 1342.49042
Hager, William W.; Hou, Hongyan; Rao, Anil V.
10
2016
A generalized eigenproblem for the Laplacian which arises in lightning. Zbl 1137.35047
Aslan, Beyza Caliskan; Hager, William W.; Moskow, Shari
10
2008
Continuous quadratic programming formulations of optimization problems on graphs. Zbl 1357.90166
Hager, William W.; Hungerford, James T.
10
2015
Application of the dual active set algorithm to quadratic network optimization. Zbl 0791.90053
Hager, William W.; Hearn, Donald W.
9
1993
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
9
2018
The gradient projection method with exact line search. Zbl 1136.90513
Hager, William W.; Park, Soonchul
9
2004
Inexact alternating direction methods of multipliers for separable convex optimization. Zbl 1414.90228
Hager, William W.; Zhang, Hongchao
8
2019
Lebesgue constants arising in a class of collocation methods. Zbl 1433.41009
Hager, William W.; Hou, Hongyan; Rao, Anil V.
8
2017
Minimizing the profile of a symmetric matrix. Zbl 1014.65020
Hager, William W.
7
2002
The dual active set algorithm and its application to linear programming. Zbl 1017.90061
Hager, William W.
7
2002
An efficient hybrid algorithm for the separable convex quadratic knapsack problem. Zbl 1369.65072
Davis, Timothy A.; Hager, William W.; Hungerford, James T.
7
2016
Multilevel domain decomposition for electronic structure calculations. Zbl 1147.81021
Barrault, M.; Cancès, E.; Hager, W. W.; Le Bris, C.
7
2007
A multilevel bilinear programming algorithm for the vertex separator problem. Zbl 1394.90546
Hager, William W.; Hungerford, James T.; Safro, Ilya
7
2018
Asymptotic convergence analysis of a new class of proximal point methods. Zbl 1154.90009
Hager, William W.; Zhang, Hongchao
7
2007
Multiset graph partitioning. Zbl 1031.90053
Hager, William W.; Krylyuk, Yaroslav
6
2002
The dual active set algorithm. Zbl 0814.90106
Hager, William W.
6
1992
An ellipsoidal branch and bound algorithm for global optimization. Zbl 1198.90318
Hager, William W.; Phan, Dzung T.
6
2009
Convergence rates for an inexact ADMM applied to separable convex optimization. Zbl 1466.90072
Hager, William W.; Zhang, Hongchao
6
2020
The switch point algorithm. Zbl 1468.49029
Aghaee, Mahya; Hager, William W.
6
2021
Projection algorithms for nonconvex minimization with application to sparse principal component analysis. Zbl 1353.90118
Hager, William W.; Phan, Dzung T.; Zhu, Jiajie
6
2016
Iterative methods for nearly singular linear systems. Zbl 0967.65043
Hager, William W.
5
2000
On quantitative stability in optimization and optimal control. Zbl 0967.49013
Dontchev, A. L.; Hager, W. W.; Malanowski, K.; Veliov, V. M.
5
2000
The LP dual active set algorithm. Zbl 0942.65060
Hager, William W.
5
1998
Optimal coatings, bang-bang controls, and gradient techniques. Zbl 0614.49010
Hager, William W.; Rostamian, Rouben
5
1987
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
5
2019
A sparse proximal implementation of the LP dual active set algorithm. Zbl 1146.90037
Davis, Timothy A.; Hager, William W.
5
2008
An affine scaling method for optimization problems with polyhedral constraints. Zbl 1303.90100
Hager, William W.; Zhang, Hongchao
5
2014
PACBB: a projected adaptive cyclic Barzilai-Borwein method for box constrained optimization. Zbl 1100.90050
Zhang, Hongchao; Hager, William W.
4
2006
Euler approximation of the feasible set. Zbl 0833.65060
Dontchev, A. L.; Hager, William W.
4
1994
Joint transceiver design for MIMO communications using geometric mean decomposition. Zbl 1370.94011
Jiang, Yi; Li, Jian; Hager, William W.
4
2005
A derivative-based bracketing scheme for univariate minimization and the conjugate gradient method. Zbl 0684.65063
Hager, W. W.
4
1989
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
4
1994
Mesh refinement method for solving optimal control problems with nonsmooth solutions using jump function approximations. Zbl 1484.49056
Miller, Alexander T.; Hager, William W.; Rao, Anil V.
4
2021
Bounds for integration matrices that arise in Gauss and Radau collocation. Zbl 1432.65110
Chen, Wanchun; Du, Wenhao; Hager, William W.; Yang, Liang
4
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
4
2019
Optimality conditions for maximizing a function over a polyhedron. Zbl 1298.90127
Hager, William W.; Hungerford, James T.
4
2014
Error estimation in nonlinear optimization. Zbl 1325.90088
Hager, William W.; Mico-Umutesi, Delphine
4
2014
Extension of switch point algorithm to boundary-value problems. Zbl 07786399
Hager, William W.
1
2023
An inexact accelerated stochastic ADMM for separable convex optimization. Zbl 1487.90521
Bai, Jianchao; Hager, William W.; Zhang, Hongchao
19
2022
The switch point algorithm. Zbl 1468.49029
Aghaee, Mahya; Hager, William W.
6
2021
Mesh refinement method for solving optimal control problems with nonsmooth solutions using jump function approximations. Zbl 1484.49056
Miller, Alexander T.; Hager, William W.; Rao, Anil V.
4
2021
Modified Legendre-Gauss-Radau collocation method for optimal control problems with nonsmooth solutions. Zbl 1481.49018
Eide, Joseph D.; Hager, William W.; Rao, Anil V.
2
2021
Convergence rates for an inexact ADMM applied to separable convex optimization. Zbl 1466.90072
Hager, William W.; Zhang, Hongchao
6
2020
Inexact alternating direction methods of multipliers for separable convex optimization. Zbl 1414.90228
Hager, William W.; Zhang, Hongchao
8
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
5
2019
Bounds for integration matrices that arise in Gauss and Radau collocation. Zbl 1432.65110
Chen, Wanchun; Du, Wenhao; Hager, William W.; Yang, Liang
4
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
4
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
9
2018
A multilevel bilinear programming algorithm for the vertex separator problem. Zbl 1394.90546
Hager, William W.; Hungerford, James T.; Safro, Ilya
7
2018
Lebesgue constants arising in a class of collocation methods. Zbl 1433.41009
Hager, William W.; Hou, Hongyan; Rao, Anil V.
8
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
16
2016
An active set algorithm for nonlinear optimization with polyhedral constraints. Zbl 1349.90619
Hager, William W.; Zhang, Hongchao
11
2016
Projection onto a polyhedron that exploits sparsity. Zbl 1346.90653
Hager, William W.; Zhang, Hongchao
11
2016
Convergence rate for a Gauss collocation method applied to unconstrained optimal control. Zbl 1342.49042
Hager, William W.; Hou, Hongyan; Rao, Anil V.
10
2016
An efficient hybrid algorithm for the separable convex quadratic knapsack problem. Zbl 1369.65072
Davis, Timothy A.; Hager, William W.; Hungerford, James T.
7
2016
Projection algorithms for nonconvex minimization with application to sparse principal component analysis. Zbl 1353.90118
Hager, William W.; Phan, Dzung T.; Zhu, Jiajie
6
2016
A \(ph\) mesh refinement method for optimal control. Zbl 1329.49048
Patterson, Michael A.; Hager, William W.; Rao, Anil V.
30
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.
20
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
18
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.
15
2015
Continuous quadratic programming formulations of optimization problems on graphs. Zbl 1357.90166
Hager, William W.; Hungerford, James T.
10
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
47
2014
An affine scaling method for optimization problems with polyhedral constraints. Zbl 1303.90100
Hager, William W.; Zhang, Hongchao
5
2014
Optimality conditions for maximizing a function over a polyhedron. Zbl 1298.90127
Hager, William W.; Hungerford, James T.
4
2014
Error estimation in nonlinear optimization. Zbl 1325.90088
Hager, William W.; Mico-Umutesi, Delphine
4
2014
The limited memory conjugate gradient method. Zbl 1298.90129
Hager, William W.; Zhang, Hongchao
52
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
35
2013
An exact algorithm for graph partitioning. Zbl 1263.90115
Hager, William W.; Phan, Dzung T.; Zhang, Hongchao
12
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
18
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
1
2012
An \(hp\)-adaptive pseudospectral method for solving optimal control problems. Zbl 1266.49066
Darby, Christopher L.; Hager, William W.; Rao, Anil V.
70
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.
50
2011
Pseudospectral methods for solving infinite-horizon optimal control problems. Zbl 1215.49040
Garg, Divya; Hager, William W.; Rao, Anil V.
48
2011
Gradient-based methods for sparse recovery. Zbl 1209.90266
Hager, William W.; Phan, Dzung T.; Zhang, Hongchao
26
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
12
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.
86
2010
A differential equation model for functional mapping of a virus-cell dynamic system. Zbl 1202.92043
Luo, Jiangtao; Hager, William W.; Wu, Rongling
3
2010
Analysis of a quadratic programming decomposition algorithm. Zbl 1208.65082
Bencteux, G.; Cancés, E.; Hager, W. W.; Le Bris, C.
1
2010
An affine-scaling interior-point CBB method for box-constrained optimization. Zbl 1168.90007
Hager, William W.; Mair, Bernard A.; Zhang, Hongchao
25
2009
An ellipsoidal branch and bound algorithm for global optimization. Zbl 1198.90318
Hager, William W.; Phan, Dzung T.
6
2009
Self-adaptive inexact proximal point methods. Zbl 1147.90414
Hager, William W.; Zhang, Hongchao
18
2008
A generalized eigenproblem for the Laplacian which arises in lightning. Zbl 1137.35047
Aslan, Beyza Caliskan; Hager, William W.; Moskow, Shari
10
2008
A sparse proximal implementation of the LP dual active set algorithm. Zbl 1146.90037
Davis, Timothy A.; Hager, William W.
5
2008
The change in electric potential due to lightning. Zbl 1152.35027
Hager, William W.; Aslan, Beyza Caliskan
3
2008
Dual multilevel optimization. Zbl 1145.90038
Davis, Timothy A.; Hager, William W.
3
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
2
2008
The generalized triangular decomposition. Zbl 1135.15010
Jiang, Yi; Hager, William W.; Li, Jian
2
2008
Multilevel domain decomposition for electronic structure calculations. Zbl 1147.81021
Barrault, M.; Cancès, E.; Hager, W. W.; Le Bris, C.
7
2007
Asymptotic convergence analysis of a new class of proximal point methods. Zbl 1154.90009
Hager, William W.; Zhang, Hongchao
7
2007
Training signal design for estimation of correlated MIMO channels with colored interference. Zbl 1391.94307
Liu, Yong; Wong, Tan F.; Hager, William W.
2
2007
A survey of nonlinear conjugate gradient methods. Zbl 1117.90048
Hager, William W.; Zhang, Hongchao
318
2006
Algorithm 851: CG_DESCENT, a conjugate gradient method with guaranteed descent. Zbl 1346.90816
Hager, William W.; Zhang, Hongchao
184
2006
A new active set algorithm for box constrained optimization. Zbl 1165.90570
Hager, William W.; Zhang, Hongchao
100
2006
The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315
Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao
70
2006
PACBB: a projected adaptive cyclic Barzilai-Borwein method for box constrained optimization. Zbl 1100.90050
Zhang, Hongchao; Hager, William W.
4
2006
Recent advances in bound constrained optimization. Zbl 1219.90163
Hager, W. W.; Zhang, H.
3
2006
Tunable channel decomposition for MIMO communications using channel state information. Zbl 1375.94074
Jiang, Y.; Hager, W. W.; Li, J.
1
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
A new conjugate gradient method with guaranteed descent and an efficient line search. Zbl 1093.90085
Hager, William W.; Zhang, Hongchao
444
2005
Row modifications of a sparse Cholesky factorization. Zbl 1077.65026
Davis, Timothy A.; Hager, William W.
15
2005
Global convergence of SSM for minimizing a quadratic over a sphere. Zbl 1059.90112
Hager, William W.; Park, Soonchul
10
2005
Joint transceiver design for MIMO communications using geometric mean decomposition. Zbl 1370.94011
Jiang, Yi; Li, Jian; Hager, William W.
4
2005
Uniform channel decomposition for MIMO communications. Zbl 1370.94438
Jiang, Yi; Li, Jian; Hager, William W.
3
2005
The geometric mean decomposition. Zbl 1063.15009
Jiang, Yi; Hager, William W.; Li, Jian
2
2005
A nonmonotone line search technique and its application to unconstrained optimization. Zbl 1073.90024
Zhang, Hongchao; Hager, William W.
307
2004
The gradient projection method with exact line search. Zbl 1136.90513
Hager, William W.; Park, Soonchul
9
2004
The dual active set algorithm and the iterative solution of linear programs. Zbl 1176.90398
Hager, William W.
1
2003
Numerical analysis in optimal control. Zbl 1024.49026
Hager, William W.
12
2002
Minimizing the profile of a symmetric matrix. Zbl 1014.65020
Hager, William W.
7
2002
The dual active set algorithm and its application to linear programming. Zbl 1017.90061
Hager, William W.
7
2002
Multiset graph partitioning. Zbl 1031.90053
Hager, William W.; Krylyuk, Yaroslav
6
2002
Minimizing a quadratic over a sphere. Zbl 1058.90045
Hager, William W.
56
2001
The Euler approximation in state constrained optimal control. Zbl 0987.49017
Dontchev, A. L.; Hager, William W.
56
2001
Multiple-rank modifications of a sparse Cholesky factorization. Zbl 1049.65021
Davis, Timothy A.; Hager, William W.
18
2001
Runge-Kutta methods in optimal control and the transformed adjoint system. Zbl 0991.49020
Hager, William W.
143
2000
Second-order Runge-Kutta approximations in control constrained optimal control. Zbl 0968.49022
Dontchev, A. L.; Hager, William W.; Veliov, Vladimir M.
74
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.
33
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.
16
2000
Iterative methods for nearly singular linear systems. Zbl 0967.65043
Hager, William W.
5
2000
On quantitative stability in optimization and optimal control. Zbl 0967.49013
Dontchev, A. L.; Hager, W. W.; Malanowski, K.; Veliov, V. M.
5
2000
Runge-Kutta discretizations of optimal control problems. Zbl 0989.93005
Hager, William W.
3
2000
The wave annihilation technique and the design of nonreflective coatings. Zbl 0991.74043
Hager, William W.; Rostamian, Rouben; Wang, Dongxing
1
2000
Stabilized sequential quadratic programming. Zbl 1040.90566
Hager, William W.
44
1999
Stability in the presence of degeneracy and error estimation. Zbl 0956.90049
Hager, William W.; Gowda, M. Seetharama
34
1999
Modifying a sparse Cholesky factorization. Zbl 0929.65012
Davis, Timothy A.; Hager, William W.
21
1999
Graph partitioning and continuous quadratic programming. Zbl 0972.90086
Hager, William W.; Krylyuk, Yaroslav
19
1999
Lipschitzian stability for state constrained nonlinear optimal control. Zbl 0917.49025
Dontchev, A. L.; Hager, W. W.
21
1998
A new approach to Lipschitz continuity in state constrained optimal control. Zbl 0988.49017
Dontchev, A. L.; Hager, William W.
12
1998
The LP dual active set algorithm. Zbl 0942.65060
Hager, William W.
5
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
3
1998
A discrete model for the lightning discharge. Zbl 1392.78004
Hager, William W.
1
1998
Network optimization. Conference, Center for Applied Optimization, Univ. of Florida, Gainesville, FL, USA, February 12-14, 1996. Zbl 0863.00055
1
1997
Implicit functions defined by generalized equations. Zbl 0856.49020
Dontchev, Asen L.; Hager, William W.
1
1996
Optimality, stability, and convergence in nonlinear control. Zbl 0821.49022
Dontchev, A. L.; Hager, W. W.; Poore, A. B.; Yang, Bing
41
1995
Linear programming approaches to the convex hull problem in \(\mathbb{R}^ m\). Zbl 0831.90085
Pardalos, P. M.; Li, Y.; Hager, W. W.
2
1995
An inverse mapping theorem for set-valued maps. Zbl 0804.49021
Dontchev, A. L.; Hager, W. W.
60
1994
Implicit functions, Lipschitz maps, and stability in optimization. Zbl 0835.49019
Dontchev, Asen L.; Hager, William W.
34
1994
...and 35 more Documents
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Cited by 3,735 Authors

66 Hager, William W.
46 Babaie-Kafaki, Saman
25 Yuan, Gonglin
25 Zhang, Hongchao
23 Bala Abubakar, Auwal
23 Kumam, Poom
22 Andrei, Neculai
22 Dontchev, Asen L.
22 Waziri, Mohammed Yusuf
21 Baccouch, Mahboub
21 Izmailov, Alekseĭ F.
21 Liu, Hongwei
21 Veliov, Vladimir M.
20 Liu, Zexian
19 Amini, Keyvan
19 Aminifard, Zohre
19 Jian, Jinbao
18 Cheng, Wanyou
18 Dong, Xiaoliang
18 Shen, Chungen
17 Ghanbari, Reza
17 Kimiaei, Morteza
17 Li, Donghui
17 Malanowski, Kazimierz D.
17 Rao, Anil V.
16 Dai, Yu-Hong
16 Jiang, Xianzhen
16 Solodov, Mikhail V.
15 Martínez, José Mario
15 Mohammad, Hassan
15 Wei, Zengxin
14 Liu, Jinkui
14 Ou, Yigui
14 Xiao, Yunhai
13 Huang, Yakui
13 Ibrahim, Abdulkarim Hassan
12 Ahmed, Kabiru
12 Li, Min
12 Sabi’u, Jamilu
12 Tang, Jingyong
12 Tröltzsch, Fredi
12 Zhang, Lei-Hong
11 Ahookhosh, Masoud
11 Alt, Walter
11 Birgin, Ernesto G.
11 Borzì, Alfio
11 Dai, Zhifeng
11 Maurer, Helmut
11 Wen, Zaiwen
11 Yao, Shengwei
11 Zanni, Luca
10 Campbell, Stephen LaVern
10 Geoffroy, Michel H.
10 Kaya, C. Yalçin
10 Li, Xiangli
10 Oviedo, Harry
10 Porwal, Kamana
10 Ruggiero, Valeria
10 Yashtini, Maryam
9 Awwal, Aliyu Muhammed
9 Gerdts, Matthias
9 Gonçalves, Max L. N.
9 Halilu, Abubakar Sani
9 Hilout, Saïd
9 Liu, Pengjie
9 Mordukhovich, Boris S.
9 Peng, Haijun
9 Wan, Zhong
9 Yuan, Ya-xiang
9 Zhang, Li
8 Andreani, Roberto
8 Bonettini, Silvia
8 di Serafino, Daniela
8 Gudi, Thirupathi
8 Han, Deren
8 Hu, Qingjie
8 Leong, Wah June
8 Narushima, Yasushi
8 Peyghami, Mohammad Reza
8 Piétrus, Alain
8 Porta, Federica
8 Rinaldi, Francesco
8 Sandu, Adrian
8 Wang, Xiaoliang
8 Zhu, Zhibin
7 Alhawarat, Ahmad
7 Brenner, Susanne Cecelia
7 Dostál, Zdeněk
7 Esmaeili, Hamid
7 Faramarzi, Parvaneh
7 Fatemi, Masoud
7 Gonçalves, Douglas Soares
7 Khan, Akhtar Ali
7 Liu, Xinggao
7 Livieris, Ioannis E.
7 Pardalos, Panos M.
7 Pickenhain, Sabine
7 Pintelas, Panagiotis E.
7 Qi, Liqun
7 Qu, Aiping
...and 3,635 more Authors
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Cited in 357 Serials

169 Computational Optimization and Applications
125 Journal of Computational and Applied Mathematics
102 Applied Mathematics and Computation
97 Journal of Optimization Theory and Applications
78 Numerical Algorithms
75 Optimization Methods & Software
71 Optimization
53 Applied Numerical Mathematics
47 Journal of Scientific Computing
47 SIAM Journal on Optimization
46 Computers & Mathematics with Applications
46 Mathematical Programming. Series A. Series B
44 Journal of Computational Physics
42 Computational and Applied Mathematics
42 Optimization Letters
41 Computer Methods in Applied Mechanics and Engineering
39 Optimal Control Applications & Methods
37 Mathematical Problems in Engineering
36 International Journal of Computer Mathematics
35 Journal of Global Optimization
34 SIAM Journal on Scientific Computing
33 Journal of Mathematical Analysis and Applications
33 Numerical Functional Analysis and Optimization
31 Numerische Mathematik
29 Journal of Industrial and Management Optimization
28 Journal of Applied Mathematics and Computing
27 Linear Algebra and its Applications
22 Automatica
21 Applied Mathematics and Optimization
21 European Journal of Operational Research
20 Mathematics of Computation
19 Applied Mathematical Modelling
19 Numerical Linear Algebra with Applications
18 Calcolo
18 SIAM Journal on Control and Optimization
17 International Journal of Control
17 Journal of the Franklin Institute
16 BIT
16 Journal of Inequalities and Applications
15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
14 Mathematical Methods in the Applied Sciences
14 International Journal for Numerical Methods in Engineering
14 Mathematics and Computers in Simulation
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Annals of Operations Research
13 Set-Valued and Variational Analysis
12 Journal of the Operations Research Society of China
11 Systems & Control Letters
11 Computers & Operations Research
11 Abstract and Applied Analysis
11 Optimization and Engineering
11 Numerical Algebra, Control and Optimization
10 SIAM Journal on Numerical Analysis
10 RAIRO. Operations Research
9 Asia-Pacific Journal of Operational Research
9 Communications in Nonlinear Science and Numerical Simulation
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Mathematical Programming Computation
8 Applied Mathematics Letters
8 Science China. Mathematics
8 Journal of Mathematical Modeling
7 Applicable Analysis
7 Inverse Problems
7 Computational Mechanics
7 Advances in Computational Mathematics
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7 Nonlinear Analysis. Theory, Methods & Applications
6 Computer Physics Communications
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6 Applications of Mathematics
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6 4OR
5 Journal of Fluid Mechanics
5 Aplikace Matematiky
5 Kybernetika
5 SIAM Journal on Matrix Analysis and Applications
5 Computational Mathematics and Mathematical Physics
5 SIAM Review
5 Computational Statistics and Data Analysis
5 International Journal of Robust and Nonlinear Control
5 Journal of Mathematical Imaging and Vision
5 Set-Valued Analysis
5 Vietnam Journal of Mathematics
5 Thai Journal of Mathematics
5 Mediterranean Journal of Mathematics
5 EURO Journal on Computational Optimization
5 Journal of Nonlinear and Variational Analysis
4 Computers and Fluids
4 Discrete Applied Mathematics
4 Linear and Multilinear Algebra
4 Information Sciences
4 International Journal of Mathematics and Mathematical Sciences
4 Mathematics of Operations Research
4 Proceedings of the American Mathematical Society
...and 257 more Serials
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Cited in 54 Fields

1,452 Numerical analysis (65-XX)
1,340 Operations research, mathematical programming (90-XX)
762 Calculus of variations and optimal control; optimization (49-XX)
217 Partial differential equations (35-XX)
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96 Computer science (68-XX)
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90 Ordinary differential equations (34-XX)
83 Biology and other natural sciences (92-XX)
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44 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
34 Probability theory and stochastic processes (60-XX)
33 Mechanics of particles and systems (70-XX)
30 Combinatorics (05-XX)
24 Real functions (26-XX)
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2 General and overarching topics; collections (00-XX)
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