Hager, William W.

• 3936978
  Hager, William W.(1-FL)
  Department of Mathematics, University of Florida
  Gainesville, Florida, 32611 ; Zhang, Hongchao(1-LAS)

  Department of Mathematics, Louisiana State University
  Baton Rouge, Louisiana, 70803
  Inexact alternating direction methods of multipliers for separable convex optimization. (English summary)
  Comput. Optim. Appl. 73 (2019), no. 1, 201-235.
  90C25 (65Y20 90C06)
• 3784105
  Hager, William W.(1-FL)
  Department of Mathematics, University of Florida
  Gainesville, Florida, 32611 ; Liu, Jun(1-SIL2-MS)

  Department of Mathematics and Statistics, Southern Illinois University
  Edwardsville, Illinois, 62025 ; Mohapatra, Subhashree(1-FL)

  Department of Mathematics, University of Florida
  Gainesville, Florida, 32611 ; Rao, Anil V.(1-FL-MAE)

  Department of Mechanical and Aerospace Engineering, University of Florida
  Gainesville, Florida, 32611 ; Wang, Xiang-Sheng(1-LA)

  Department of Mathematics, University of Louisiana--Lafayette
  Lafayette, Louisiana, 70504
  Convergence rate for a Gauss collocation method applied to constrained optimal control. (English summary)
  SIAM J. Control Optim. 56 (2018), no. 2, 1386-1411.
  49M25 (49M37 65K05 65L60 90C30)
  
• 3742304
  Hager, William W.(1-FL)
  Department of Mathematics, University of Florida
  Gainesville, Florida, 32611 ; Hungerford, James T.(1-RACET-SSC)

  Store Support Center, RaceTrac
  Atlanta, Georgia, 30339 ; Safro, Ilya(1-CLEM-SCP)

  School of Computing, Clemson University
  Clemson, South Carolina, 29634 ;
  A multilevel bilinear programming algorithm for the vertex separator problem. (English summary)
  Comput. Optim. Appl. 69 (2018), no. 1, 189-223.
  90C35 (90C06 90C20 90C27)
  
• 3712178
  Hager, William W.(1-FL)
  Department of Mathematics, University of Florida
  Gainesville, Florida, 32611 ; Hou, Hongyan(1-CMU-KE)

  Department of Chemical Engineering, Carnegie-Mellon University
  Pittsburgh, Pennsylvania, 15213 ; Rao, Anil V.(1-FL-MAE)

  Department of Mechanical and Aerospace Engineering, University of Florida
  Gainesville, Florida, 32611
  Lebesgue constants arising in a class of collocation methods. (English summary)
  IMA J. Numer. Anal. 37 (2017), no. 4, 1884-1901.
  41A55 (41A44 65D30)
  
• 3543171
  Hager, William W.(1-FL); Zhang, Hongchao(1-LAS)
  Projection onto a polyhedron that exploits sparsity. (English summary)
  SIAM J. Optim. 26 (2016), no. 3, 1773-1798.
  90C20 (65Y20 90C06 90C25)
  
• 3543171
  Hager, William W.(1-FL); Zhang, Hongchao(1-LAS)
  Projection onto a polyhedron that exploits sparsity. (English summary)
  SIAM J. Optim. 26 (2016), no. 3, 1773-1798.
  90C20 (65Y20 90C06 90C25)
  
• 3528501
  Hager, William W.(1-FL); Zhang, Hongchao(1-LAS)
  An active set algorithm for nonlinear optimization with polyhedral constraints. (English summary)
  Sci. China Math. 59 (2016), no. 8, 1525-1542.
  90C06 (90C26)
  
• 3517696
  Davis, Timothy A.(1-TXAM-CSE); Hager, William W.(1-FL); Hungerford, James T.(I-MAIOR)
  An efficient hybrid algorithm for the separable convex quadratic knapsack problem. (English summary)
  ACM Trans. Math. Software 42 (2016), no. 3, Art. 22, 25 pp.
  65K05 (65-04 90C20)
  
• 3522063
  Hager, William W.(1-FL); Phan, Dzung T.(1-IBM); Zhu, Jiajie(1-FL)
  Projection algorithms for nonconvex minimization with application to sparse principal component analysis. (English summary)
  J. Global Optim. 65 (2016), no. 4, 657-676.
  90C26 (65K10 90C52)
  
• 3502612
  Hager, William W.(1-FL); Yashtini, Maryam(1-GAIT); Zhang, Hongchao(1-LAS)
  An $\Cal{O}(1/{k})$$\Cal{O}(1/{k})$ convergence rate for the variable stepsize Bregman operator splitting algorithm. (English summary)
  SIAM J. Numer. Anal. 54 (2016), no. 3, 1535-1556.
  49J40 (65K10 65K15 90C25)
  
• 3501387
  Hager, William W.(1-FL); Hou, Hongyan(1-CMU-KE); Rao, Anil V.(1-FL-MAE)
  Convergence rate for a Gauss collocation method applied to unconstrained optimal control. (English summary)
  J. Optim. Theory Appl. 169 (2016), no. 3, 801-824.
  49M25 (49M37 65L60 90C30)
  
• 3391445
  Liu, Fengjin(1-FL-MAE); Hager, William W.(1-FL); Rao, Anil V.(1-FL-MAE)
  Adaptive mesh refinement method for optimal control using nonsmoothness detection and mesh size reduction. (English summary)
  J. Franklin Inst. 352 (2015), no. 10, 4081-4106.
  49M25 (65L60)
  
• 3376306
  Patterson, Michael A.(1-FL-MAE); Hager, William W.(1-FL); Rao, Anil V.(1-FL-MAE)
  A $ph$$ph$ mesh refinement method for optimal control. (English summary)
  Optimal Control Appl. Methods 36 (2015), no. 4, 398-421.
  49M37 (65L60)
  
• 3376305
  Françolin, Camila C.(1-FL-MAE); Benson, David A.(1-DRAP); Hager, William W.(1-FL); Rao, Anil V.(1-FL-MAE)
  Costate approximation in optimal control using integral Gaussian quadrature orthogonal collocation methods. (English summary)
  Optimal Control Appl. Methods 36 (2015), no. 4, 381-397.
  49M05 (49K10 65L60)
  
• 3348268
  Hager, William(1-FL); Ngo, Cuong(1-FL); Yashtini, Maryam(1-GAIT); Zhang, Hong-Chao(1-LAS)
  An alternating direction approximate Newton algorithm for ill-conditioned inverse problems with application to parallel MRI. (English summary)
  J. Oper. Res. Soc. China 3 (2015), no. 2, 139-162.
  65J22 (65K05 68U10 90C25 92C55)
  
• 3258371
  Hager, William W.(1-FL); Hungerford, James T.(1-FL)
  Continuous quadratic programming formulations of optimization problems on graphs. (English summary)
  European J. Oper. Res. 240 (2015), no. 2, 328-337.
  90C35 (90C20)
  
• 3258371
  Hager, William W.(1-FL); Hungerford, James T.(1-FL)
  Continuous quadratic programming formulations of optimization problems on graphs. (English summary)
  European J. Oper. Res. 240 (2015), no. 2, 328-337.
  90C35 (90C20)
  
• 3253737
  Hager, William W.(1-FL); Zhang, Hongchao(1-LAS)
  An affine scaling method for optimization problems with polyhedral constraints. (English summary)
  Comput. Optim. Appl. 59 (2014), no. 1-2, 163-183.
  90C51 (90C30 90C55)
  
• 3207686
  Hager, William W.(1-FL); Hungerford, James T.(1-FL)
  Optimality conditions for maximizing a function over a polyhedron. (English summary)
  Math. Program. 145 (2014), no. 1-2, Ser. A, 179-198.
  90C30 (90C35 90C46 90C57)
  
• 3216683
  Hager, William W.(1-FL); Mico-Umutesi, Delphine(1-FL)
  Error estimation in nonlinear optimization. (English summary)
  J. Global Optim. 59 (2014), no. 2-3, 327-341.
  90C26 (90C20 90C31)
  
• 3123830
  Hager, William W.(1-FL); Zhang, Hongchao(1-LAS)
  The limited memory conjugate gradient method. (English summary)
  SIAM J. Optim. 23 (2013), no. 4, 2150–2168.
  90C52
  
• 3016292
  Chen, Yunmei(1-FL); Hager, William W.(1-FL); Yashtini, Maryam(1-FL); Ye, Xiaojing(1-GAIT); Zhang, Hongchao(1-LAS)
  Bregman operator splitting with variable stepsize for total variation image reconstruction. (English summary)
  Comput. Optim. Appl. 54 (2013), no. 2, 317–342.
  90C30 (94A08)
  
• 3010436
  Hager, William W.(1-FL); Phan, Dzung T.(1-IBM-BAM); Zhang, Hongchao(1-LAS)
  An exact algorithm for graph partitioning. (English summary)
  Math. Program. 137 (2013), no. 1-2, Ser. A, 531–556.
  05C85 (05C70 90C27 90C35)
  
• 2974715
  Brás, Carmo P.(P-NULST); Hager, William W.(1-FL); Júdice, Joaquim J.(P-CMBR)
  An investigation of feasible descent algorithms for estimating the condition number of a matrix. (English summary)
  TOP 20 (2012), no. 3, 791–809.
  65Fxx (15A12 90C90)
  
• 2902658
  Chen, Yunmei(1-FL); Hager, William(1-FL); Huang, Feng(1-INVIVO); Phan, Dzung(1-IBM-BAM); Ye, Xiaojing(1-FL); Yin, Wotao(1-RICE-CP)
  Fast algorithms for image reconstruction with application to partially parallel MR imaging. (English summary)
  SIAM J. Imaging Sci. 5 (2012), no. 1, 90–118.
  94A08 (65J22 68U10 90C25)
  
• 2878347
  Garg, Divya(1-FL-NDM); Hager, William W.(1-FL-NDM); Rao, Anil V.(1-FL-NDM)
  Pseudospectral methods for solving infinite-horizon optimal control problems. (English summary)
  Automatica J. IFAC 47 (2011), no. 4, 829–837.
  49M05 (49M25 65K05 65L60)
  
• 2850736
  Darby, Christopher L.(1-FL-MAE); Hager, William W.(1-FL); Rao, Anil V.(1-FL-MAE)
  An $hp$$hp$-adaptive pseudospectral method for solving optimal control problems. (English summary)
  Optimal Control Appl. Methods 32 (2011), no. 4, 476–502.
  49M25
  
• 2795721
  Garg, Divya(1-FL-MAE); Patterson, Michael A.(1-FL-MAE); Francolin, Camila(1-FL-MAE); Darby, Christopher L.(1-FL-MAE); Huntington, Geoffrey T.(1-BLUE); Hager, William W.(1-FL); Rao, Anil V.(1-FL-MAE)
  Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method. (English summary)
  Comput. Optim. Appl. 49 (2011), no. 2, 335–358.
  49M25
  
• 2792408
  Hager, William W.(1-FL); Phan, Dzung T.(1-IBM-BAM); Zhang, Hongchao(1-LAS)
  Gradient-based methods for sparse recovery. (English summary)
  SIAM J. Imaging Sci. 4 (2011), no. 1, 146–165.
  90C06 (65K10 65Y20 90C25 94A08)
  
• 2783220
  Gonzalez-Lima, Maria D.(YV-SBOL-CS); Hager, William W.(1-FL); Zhang, Hongchao(1-LAS)
  An affine-scaling interior-point method for continuous knapsack constraints with application to support vector machines. (English summary)
  SIAM J. Optim. 21 (2011), no. 1, 361–390.
  90C06 (90C51)
  
• 2878201
  Garg, Divya(1-FL-NDM); Patterson, Michael(1-FL-NDM); Hager, William W.(1-FL-NDM); Rao, Anil V.(1-FL-NDM); Benson, David A.(1-DRAP); Huntington, Geoffrey T.(1-BLUE)
  A unified framework for the numerical solution of optimal control problems using pseudospectral methods. (English summary)
  Automatica J. IFAC 46 (2010), no. 11, 1843–1851.
  49M25 (65L60)
  
• 2643881
  Luo, Jiangtao(1-FL); Hager, William W.(1-FL); Wu, Rongling
  A differential equation model for functional mapping of a virus-cell dynamic system. (English summary)
  J. Math. Biol. 61 (2010), no. 1, 1--15.
  62P10 (39A50 92D30)
  
• 2595047
  Bencteux, G.(F-EDF-RD); Cancés, E.(F-ENPC3-MIC); Hager, W. W.(1-FL); Le Bris, C.(F-ENPC3-MIC)
  Analysis of a quadratic programming decomposition algorithm. (English summary)
  SIAM J. Numer. Anal. 47 (2010), no. 6, 4517--4539.
  65K05 (90C20)
  
• 2738179
  Davis, Timothy A.(1-FL-CIE); Hager, William W.(1-FL)
  Dynamic supernodes in sparse Cholesky update/downdate and triangular solves. (English summary)
  ACM Trans. Math. Software 35 (2009), no. 4, Art. 27, 23 pp.
  65F05
  
• 2570606
  Hager, W. W.(1-FL)
  COAP 2008 best paper award: paper of P. M. Hahn, B.-J. Kim, M. Guignard, J. M. Smith and Y.-R. Zhu [ MR2411199]. (English summary)
  Comput. Optim. Appl. 44 (2009), no. 3, 525--530.
  01A70
  
• 2570605
  Hager, W. W.(1-FL)
  COAP 2008 best paper award: paper of M. Weiser, T. Gänzler, and A. Schiela [ MR2424933].
  Comput. Optim. Appl. 44 (2009), no. 3, 521--524.
  01A70
  
• 2515795
  Hager, William W.(1-FL); Phan, Dzung T.(1-FL)
  An ellipsoidal branch and bound algorithm for global optimization. (English summary)
  SIAM J. Optim. 20 (2009), no. 2, 740--758.
  90C26 (90C25 90C30 90C57)
  
• 2485485
  Hager, William W.(1-FL); Mair, Bernard A.(1-FL); Zhang, Hongchao(1-MN-MA)
  An affine-scaling interior-point CBB method for box-constrained optimization. (English summary)
  Math. Program. 119 (2009), no. 1, Ser. A, 1--32.
  90C30 (65K10 90C51)
  
• 2738209
  Chen, Yanqing(1-FL); Davis, Timothy A.(1-FL-CIE); Hager, William W.(1-FL); Rajamanickam, Sivasankaran(1-FL)
  Algorithm 887: CHOLMOD, supernodal sparse Cholesky factorization and update/downdate. (English summary)
  ACM Trans. Math. Software 35 (2008), no. 3, Art. 22, 14 pp.
  65F05
  
• 2484689
  Bencteux, Guy(F-EDF-RD); Barrault, Maxime(F-EDF-RD); Cancès, Eric(F-ENPC3-MIC); Hager, William W.(1-FL)
  Domain decomposition and electronic structure computations: a promising approach. (English summary) Partial differential equations, 147--164,
  Comput. Methods Appl. Sci., 16, Springer, Dordrecht, 2008.
  65N55
  
• 2454626
  Hager, William W.(1-FL); Aslan, Beyza Caliskan(1-NFL-MS)
  The change in electric potential due to lightning. (English summary)
  M2AN Math. Model. Numer. Anal. 42 (2008), no. 5, 887--901.
  35Q60
  
• 2447890
  Hager, William W.(1-FL)
  COAP 2007 best paper award.
  Comput. Optim. Appl. 41 (2008), no. 2, 147--149.
  01A70
  
• 2443972
  Hager, William W.(1-FL); Luo, Jiangtao(1-FL)
  Optimization of generalized mean-square error in noisy linear estimation. (English summary)
  SIAM J. Matrix Anal. Appl. 30 (2008), no. 2, 783--804.
  60G35 (93E10 94A05 94A15)
  
• 2398267
  Aslan, Beyza Caliskan(1-FL); Hager, William W.(1-FL); Moskow, Shari(1-FL)
  A generalized eigenproblem for the Laplacian which arises in lightning. (English summary)
  J. Math. Anal. Appl. 341 (2008), no. 2, 1028--1041.
  35P05 (35J05)
  
• 2396867
  Fernandez, Luis Alberto; Hager, William W.(1-FL); Tröltzsch, Fredi
  Editorial [Special issue: Numerical analysis of optimization in partial differential equations].
  Comput. Optim. Appl. 39 (2008), no. 3, 263.
  00B25 (49-06 65-06)
  
• 2373244
  Hager, William W.(1-FL); Zhang, Hongchao(1-MN-MA)
  Self-adaptive inexact proximal point methods. (English summary)
  Comput. Optim. Appl. 39 (2008), no. 2, 161--181.
  90C26 (90C53)
  
• 2373191
  Jiang, Yi(1-FL-EL); Hager, William W.(1-FL); Li, Jian(1-FL-EL)
  The generalized triangular decomposition. (English summary)
  Math. Comp. 77 (2008), no. 262, 1037--1056.
  65F25 (60G35)
  
• 2361930
  Davis, Timothy A.(1-FL-CIE); Hager, William W.(1-FL)
  Dual multilevel optimization. (English summary)
  Math. Program. 112 (2008), no. 2, Ser. A, 403--425.
  90C05 (65K10)
  
• 2361925
  Davis, Timothy A.(1-FL-CIE); Hager, William W.(1-FL)
  A sparse proximal implementation of the LP dual active set algorithm. (English summary)
  Math. Program. 112 (2008), no. 2, Ser. A, 275--301.
  90C05 (15A39 90C51)
  
• 2467333 (2009j:94088)
  Liu, Yong(1-FL-WIN); Wong, Tan F.(1-FL-WIN); Hager, William W.(1-FL)
  Training signal design for estimation of correlated MIMO channels with colored interference. (English summary)
  IEEE Trans. Signal Process. 55 (2007), no. 4, 1486--1497.
  94A40 (94A12)
  
• 2361989
  Hager, William W.(1-FL); Zhang, Hongchao(1-MN-INM)
  Asymptotic convergence analysis of a new class of proximal point methods. (English summary)
  SIAM J. Control Optim. 46 (2007), no. 5, 1683--1704 (electronic).
  90C26 (65K10 65Y20 90C06)
  
• 2298038
  Barrault, M.(F-EDF-RD); Cancès, E.(F-ENPC3-MIC); Hager, W. W.(1-FL); Le Bris, C.(F-ENPC3-MIC)
  Multilevel domain decomposition for electronic structure calculations. (English summary)
  J. Comput. Phys. 222 (2007), no. 1, 86--109.
  81V55 (65N55)
  
• 2548208 (2010h:90095)
  Hager, William W.(1-FL); Zhang, Hongchao(1-FL)
  A survey of nonlinear conjugate gradient methods. (English summary)
  Pac. J. Optim. 2 (2006), no. 1, 35–58.
  90C26 (65K10 90-02 90C52)
  
• 2272354
  Hager, William W.(1-FL); Zhang, Hongchao(1-FL)
  Algorithm 851: ${\rm CG}\uscore {\rm DESCENT}$, a conjugate gradient method with guaranteed descent. (English summary)
  ACM Trans. Math. Software 32 (2006), no. 1, 113--137.
  90C52 (65F10 90C30)
  
• 2247750
  Hager, William W.(1-FL); Zhang, Hongchao(1-FL)
  A new active set algorithm for box constrained optimization. (English summary)
  SIAM J. Optim. 17 (2006), no. 2, 526--557 (electronic).
  90C06 (65Y20 90C26)
  
• 2249323
  Hager, W. W.(1-FL); Zhang, H.(1-FL)
  Recent advances in bound constrained optimization. (English summary) System modeling and optimization, 67--82,
  IFIP Int. Fed. Inf. Process., 199, Springer, New York, 2006.
  90C30 (90-02)
  
• 2242466
  Hager, William W.(1-FL); Liu, Yong(1-FL-EL); Wong, Tan F.(1-FL-EL)
  Optimization of generalized mean square error in signal processing and communication. (English summary)
  Linear Algebra Appl. 416 (2006), no. 2-3, 815--834.
  93E10 (60G35 94A12)
  
• 2241317
  Dai, Yu-Hong(PRC-ASBJ-ENM); Hager, William W.(1-FL); Schittkowski, Klaus(D-BAYR); Zhang, Hongchao(1-FL)
  The cyclic Barzilai-Borwein method for unconstrained optimization. (English summary)
  IMA J. Numer. Anal. 26 (2006), no. 3, 604--627.
  90C30 (90C52)
  
• 2209465
  Hager, William W.
  Editorial [Proceedings of the Conference on Multiscale Optimization, Methods and Applications].
  Held at the University of Florida, Gainesville, FL, February 26--28, 2004.
  Comput. Optim. Appl. 33 (2006), no. 1, 5--6.
  90-06
• 2192982
  Multiscale optimization methods and applications.
  Papers from the conference and a student workshop held at the University of Florida, Gainesville, FL, February 26--28, 2004 and March 3--4, 2004. Edited by William W. Hager, Shu-Jen Huang, Panos M. Pardalos and Oleg A. Prokopyev. Nonconvex Optimization and its Applications, 82.
  Springer, New York, 2006. xviii+407 pp. ISBN 978-0387-29549-7; 0-387-29549-6
  90-06
• 2191596
  Zhang, Hongchao(1-FL); Hager, William W.(1-FL)
  PACBB: a projected adaptive cyclic Barzilai-Borwein method for box constrained optimization. (English. English summary)
  Multiscale optimization methods and applications, 387--392,
  Nonconvex Optim. Appl., 82,
  Springer, New York, 2006.
  90C30 (90C52)
• 2242173
  Jiang, Yi(1-CO); Li, Jian(1-FL-EL); Hager, William W.(1-FL)
  Uniform channel decomposition for MIMO communications. (English summary)
  IEEE Trans. Signal Process. 53 (2005), no. 11, 4283--4294.
  Database Expansion Item
  
• 2239898
  Jiang, Yi(1-CO); Li, Jian(1-FL-EL); Hager, William W.(1-FL)
  Joint transceiver design for MIMO communications using geometric mean decomposition. (English. English summary)
  IEEE Trans. Signal Process. 53 (2005), no. 10, part 1, 3791--3803.
  94A05 (94A40)
• 2177774
  Hager, William W.(1-FL); Zhang, Hongchao(1-FL)
  A new conjugate gradient method with guaranteed descent and an efficient line search. (English. English summary)
  SIAM J. Optim. 16 (2005), no. 1, 170--192 (electronic).
  90C52 (90C06)
• 2137474
  Davis, Timothy A.(1-FL-CIE); Hager, William W.(1-FL)
  Row modifications of a sparse Cholesky factorization. (English. English summary)
  SIAM J. Matrix Anal. Appl. 26 (2005), no. 3, 621--639 (electronic).
  15A23
• 2137009
  Hager, William W.(1-FL); Park, Soonchul(1-FL)
  Global convergence of SSM for minimizing a quadratic over a sphere. (English. English summary)
  Math. Comp. 74 (2005), no. 251, 1413--1423 (electronic).
  65Kxx
• 2112215
  Jiang, Yi(1-FL-EL); Hager, William W.(1-FL); Li, Jian(1-FL-EL)
  The geometric mean decomposition. (English. English summary)
  Linear Algebra Appl. 396 (2005), 373--384.
  15A23 (60G35 94A12)
• 2112963
  Zhang, Hongchao(1-FL); Hager, William W.(1-FL)
  A nonmonotone line search technique and its application to unconstrained optimization. (English. English summary)
  SIAM J. Optim. 14 (2004), no. 4, 1043--1056 (electronic).
  90C06 (65Y20 90C26)
• 2099369
  Hager, William W.(1-FL); Park, Soonchul(1-FL)
  The gradient projection method with exact line search. (English. English summary)
  J. Global Optim. 30 (2004), no. 1, 103--118.
  90C52 (65K05)
• 1987236
  Hager, William W.(1-FL)
  The dual active set algorithm and the iterative solution of linear programs. (English. English summary)
  Novel approaches to hard discrete optimization (Waterloo, ON, 2001), 97--109,
  Fields Inst. Commun., 37,
  Amer. Math. Soc., Providence, RI, 2003.
  90C05
• 1901632
  Hager, William W.(1-FL)
  Numerical analysis in optimal control. (English. English summary)
  Optimal control of complex structures (Oberwolfach, 2000), 83--93,
  Internat. Ser. Numer. Math., 139,
  Birkhäuser, Basel, 2002.
  49M25 (49K15 65J05)
• 1892714
  Hager, William W.(1-FL); Krylyuk, Yaroslav(1-FL)
  Multiset graph partitioning. (English. English summary)
  Math. Methods Oper. Res. 55 (2002), no. 1, 1--10.
  90C35 (90C20 90C27)
• 1882851
  Hager, William W.(1-FL)
  The dual active set algorithm and its application to linear programming. (English. English summary)
  Comput. Optim. Appl. 21 (2002), no. 3, 263--275.
  90C05
• 1885084
  Hager, William W.(1-FL)
  Minimizing the profile of a symmetric matrix. (English. English summary)
  SIAM J. Sci. Comput. 23 (2002), no. 5, 1799--1816 (electronic).
  65F50
• 1870591
  Hager, William W.(1-FL)
  Minimizing a quadratic over a sphere. (English. English summary)
  SIAM J. Optim. 12 (2001), no. 1, 188--208 (electronic).
  90C20 (65F10)
• 1824053
  Davis, Timothy A.(1-FL-CIE); Hager, William W.(1-FL)
  Multiple-rank modifications of a sparse Cholesky factorization. (English. English summary)
  SIAM J. Matrix Anal. Appl. 22 (2001), no. 4, 997--1013 (electronic).
  65F05 (65F50)
• 1681116
  Dontchev, A. L.(1-MR); Hager, William W.(1-FL)
  The Euler approximation in state constrained optimal control. (English. English summary)
  Math. Comp. 70 (2001), no. 233, 173--203.
  49M25 (49K15 65K10 65L05)
• 1804658
  Hager, William W.(1-FL)
  Runge-Kutta methods in optimal control and the transformed adjoint system. (English. English summary)
  Numer. Math. 87 (2000), no. 2, 247--282.
  49M25 (49M05 65L06)
• 1801495
  Hager, William W.(1-FL)
  Runge-Kutta discretizations of optimal control problems. (English. English summary)
  System theory: modeling, analysis and control (Cambridge, MA, 1999), 233--244,
  Kluwer Internat. Ser. Engrg. Comput. Sci., 518,
  Kluwer Acad. Publ., Boston, MA, 2000.
  49M25
• 1786339
  Dontchev, A. L.(1-MR); Hager, W. W.(1-FL); Veliov, V. M.(BG-AOS-IMI)
  Uniform convergence and mesh independence of Newton's method for discretized variational problems. (English. English summary)
  SIAM J. Control Optim. 39 (2000), no. 3, 961--980 (electronic).
  49M25 (65J15 65K10)
• 1780573
  Dontchev, A. L.(1-MR); Hager, W. W.(1-FL); Malanowski, K.(PL-PAN-S); Veliov, V. M.(BG-AOS-IMI)
  On quantitative stability in optimization and optimal control. (English. English summary)
  Set-valued analysis in control theory.
  Set-Valued Anal. 8 (2000), no. 1-2, 31--50.
  49K40 (90C30)
• 1778453
  Hager, William W.(1-FL); Park, Soon Chul(1-FL); Davis, Timothy A.(1-FL-CIE)
  Block exchange in graph partitioning. (English. English summary)
  Approximation and complexity in numerical optimization (Gainesville, FL, 1999), 298--307,
  Nonconvex Optim. Appl., 42,
  Kluwer Acad. Publ., Dordrecht, 2000.
  90C35
• 1780623
  Hager, William W.(1-FL)
  Iterative methods for nearly singular linear systems. (English. English summary)
  SIAM J. Sci. Comput. 22 (2000), no. 2, 747--766 (electronic).
  65F10 (65F50 65Y20 90C22)
• 1779739
  Dontchev, A. L.(1-MR); Hager, W. W.(1-FL); Malanowski, K.(PL-PAN-S)
  Error bounds for Euler approximation of a state and control constrained optimal control problem. (English. English summary)
  Numer. Funct. Anal. Optim. 21 (2000), no. 5-6, 653--682.
  49M25 (49K15 65L10)
• 1770350
  Dontchev, A. L.(1-MR); Hager, William W.(1-FL); Veliov, Vladimir M.(BG-AOS-IMI)
  Second-order Runge-Kutta approximations in control constrained optimal control. (English. English summary)
  SIAM J. Numer. Anal. 38 (2000), no. 1, 202--226 (electronic).
  49M25 (65L06)
• 1760040
  Hager, William W.(1-FL); Rostamian, Rouben(1-MD4-MS); Wang, Dongxing(1-FL)
  The wave annihilation technique and the design of nonreflective coatings. (English. English summary)
  SIAM J. Appl. Math. 60 (2000), no. 4, 1388--1424 (electronic).
  76Q05 (35P25 74J20 78A45)
• 1720400
  Hager, William W.(1-FL); Krylyuk, Yaroslav(1-FL)
  Graph partitioning and continuous quadratic programming. (English. English summary)
  SIAM J. Discrete Math. 12 (1999), no. 4, 500--523 (electronic).
  90C35 (05C35 90C09 90C27)
• 1704109
  Hager, William W.(1-FL)
  Stabilized sequential quadratic programming. (English. English summary)
  Computational optimization---a tribute to Olvi Mangasarian, Part I.
  Comput. Optim. Appl. 12 (1999), no. 1-3, 253--273.
  90C55 (90C30)
• 1689369
  Hager, William W.(1-FL); Gowda, M. Seetharama(1-MD4-MS)
  Stability in the presence of degeneracy and error estimation. (English. English summary)
  Math. Program. 85 (1999), no. 1, Ser. A, 181--192.
  90C31
• 1685045
  Davis, Timothy A.(1-FL-CIE); Hager, William W.(1-FL)
  Modifying a sparse Cholesky factorization. (English. English summary)
  SIAM J. Matrix Anal. Appl. 20 (1999), no. 3, 606--627 (electronic).
  65F50 (65F30)
• 1789719
  Hager, William W.(1-FL)
  The LP dual active set algorithm. (English. English summary)
  High performance algorithms and software in nonlinear optimization (Ischia, 1997), 243--254,
  Appl. Optim., 24,
  Kluwer Acad. Publ., Dordrecht, 1998.
  90C05
• 1749609
  Dontchev, A. L.(1-MR); Hager, William W.(1-FL)
  A new approach to Lipschitz continuity in state constrained optimal control. (English. English summary)
  Systems Control Lett. 35 (1998), no. 3, 137--143.
  49N60 (49M25)
• 1635974
  Optimal control.
  Theory, algorithms, and applications. Papers from the conference held at the University of Florida, Gainesville, FL, February 27--March 1, 1997. Edited by William H. Hager and Panos M. Pardalos. Applied Optimization, 15.
  Kluwer Academic Publishers, Dordrecht, 1998. xvi+513 pp. ISBN 0-7923-5067-7
  49-06 (93-06)
• 1633021
  Hager, William W.(1-FL)
  A discrete model for the lightning discharge. (English. English summary)
  J. Comput. Phys. 144 (1998), no. 1, 137--150.
  78-08 (78A99)
• 1616530
  Dontchev, A. L.(1-MR); Hager, W. W.(1-FL)
  Lipschitzian stability for state constrained nonlinear optimal control. (English. English summary)
  SIAM J. Control Optim. 36 (1998), no. 2, 698--718 (electronic).
  49K40 (90C31)
• 1481974
  Network optimization.
  Papers from the conference held at the University of Florida, Gainesville, FL, February 12--14, 1996. Edited by Panos M. Pardalos, Donald W. Hearn and William W. Hager. Lecture Notes in Economics and Mathematical Systems, 450.
  Springer-Verlag, Berlin, 1997. viii+485 pp. ISBN 3-540-62541-0
  90-06 (90B10 90C27 90C35)
• 1451123
  Ghosh, Nilotpal; Hager, William W.(1-FL); Sarmah, Purandar(1-FL)
  The application of eigenpair stability to block diagonalization. (English. English summary)
  SIAM J. Numer. Anal. 34 (1997), no. 3, 1255--1268.
  65F15 (65F35)
• 1389254
  Dontchev, Asen L.; Hager, William W.
  Implicit functions defined by generalized equations. (English. English summary)
  World Congress of Nonlinear Analysts '92, Vol. I--IV (Tampa, FL, 1992), 2289--2298,
  de Gruyter, Berlin, 1996.
  49J40 (26B10 47H04 49J52 90C31)
• 1321255
  Pardalos, P. M.(1-FL-I); Li, Y.(1-PAS-C); Hager, W. W.(1-FL)
  Linear programming approaches to the convex hull problem in $ R\sp m$. (English. English summary)
  Comput. Math. Appl. 29 (1995), no. 7, 23--29.
  90C05 (65K05)
• 1316261
  Dontchev, A. L.(1-MR); Hager, W. W.(1-FL); Poore, A. B.(1-COS); Yang, Bing
  Optimality, stability, and convergence in nonlinear control. (English. English summary)
  Appl. Math. Optim. 31 (1995), no. 3, 297--326.
  49K40 (49K15 49M40)
• 1307161
  Large scale optimization.
  State of the art. Papers from the conference held at the University of Florida, Gainesville, Florida, February 15--17, 1993. Edited by W. W. Hager, D. W. Hearn and P. M. Pardalos.
  Kluwer Academic Publishers Group, Dordrecht, 1994. xiv+456 pp. ISBN 0-7923-2798-5
  90-06 (49-06 90C08 90C90)
• 1288898
  Dontchev, Asen L.(1-MR); Hager, William W.(1-FL)
  Implicit functions, Lipschitz maps, and stability in optimization. (English. English summary)
  Math. Oper. Res. 19 (1994), no. 3, 753--768.
  49K40 (47H15 47N10 90C31)
• 1272204
  Dontchev, A. L.(BG-AOS); Hager, William W.(1-FL)
  Euler approximation of the feasible set. (English. English summary)
  Numer. Funct. Anal. Optim. 15 (1994), no. 3-4, 245--261.
  49M25 (93B03)
• 1215027
  Dontchev, A. L.(1-MR); Hager, W. W.(1-FL)
  An inverse mapping theorem for set-valued maps. (English. English summary)
  Proc. Amer. Math. Soc. 121 (1994), no. 2, 481--489.
  58C06 (26B10 47H04 49K40 90C31)
• 1269806
  Dontchev, Asen L.(1-MR); Hager, William W.(1-FL)
  On Robinson's implicit function theorems. (English. English summary)
  Set-valued analysis and differential inclusions (Pamporovo, 1990), 75--92,
  Progr. Systems Control Theory, 16,
  Birkhäuser Boston, Boston, MA, 1993.
  90C31 (47H04 47H15 47N10 49K45 58C15)
• 1255280
  Hager, W. W.(1-FL)
  Analysis and implementation of a dual algorithm for constrained optimization. (English. English summary)
  J. Optim. Theory Appl. 79 (1993), no. 3, 427--462.
  90C30 (65K05)
• 1245277
  Hager, William W.(1-FL); Horst, Reiner(D-TRR); Pardalos, Panos M.(1-FL-I)
  Mathematical programming---a computational perspective.
  Computational statistics, 201--278,
  Handbook of Statist., 9,
  North-Holland, Amsterdam, 1993.
  90-02 (65K05)
• 1243931
  Hager, William W.(1-FL)
  Dual active sets and constrained optimization. (English. English summary)
  Applied mathematical programming and modelling (Uxbridge, 1991).
  Ann. Oper. Res. 43 (1993), no. 1-4, 219--228.
  90C30 (65K05)
• 1216720
  Hager, William W.(1-FL); Hearn, Donald W.(1-FL-I)
  Application of the dual active set algorithm to quadratic network optimization. (English. English summary)
  Comput. Optim. Appl. 1 (1993), no. 4, 349--373.
  90C35 (90C20)
• 1214755
  Dontchev, Asen L.(1-MR); Hager, William W.(1-FL)
  Lipschitzian stability in nonlinear control and optimization. (English. English summary)
  SIAM J. Control Optim. 31 (1993), no. 3, 569--603.
  49K40 (26A16 41A65 90C31)
• 1178295
  Hager, William W.(1-FL); Dontchev, Asen L.(BG-AOS)
  Discretization error in optimal control. (English summary) Optimal control of partial differential equations (Irsee, 1990), 120--128,
  Lecture Notes in Control and Inform. Sci., 149, Springer, Berlin, 1991.
  49M25
  
• 1140028
  Poore, Aubrey B.(1-COS); Hager, William W.(1-FL); Yang, Bing(1-COS)
  Penalty, multiplier, and Newton methods for a class of nonlinear optimal control problems.
  Computation and control, II (Bozeman, MT, 1990), 279--288,
  Progr. Systems Control Theory, 11,
  Birkhäuser Boston, Boston, MA, 1991.
  49M30
• 1097315
  Hager, W. W.(1-FL); Pardalos, P. M.(1-PAS-C); Roussos, I. M.; Sahinoglou, H. D.(1-PAS-C)
  Active constraints, indefinite quadratic test problems, and complexity.
  J. Optim. Theory Appl. 68 (1991), no. 3, 499--511.
  90C30 (65K05)
• 1062301
  Ghosh, N.(1-PAS); Hager, W. W.(1-FL)
  A derivative-free bracketing scheme for univariate minimization.
  Comput. Math. Appl. 20 (1990), no. 2, 23--34.
  65K05 (90C30)
• 1057832
  Hager, William W.(1-FL); Rostamian, Rouben(1-MD4-MS)
  Total absorption in elastic media.
  Transactions of the Seventh Army Conference on Applied Mathematics and Computing (West Point, NY, 1989), 85--103,
  ARO Rep., 90-1,
  U.S. Army Res. Office, Research Triangle Park, NC, 1990.
  73D25 (73D15)
• 1051124
  Hager, William W.(1-FL)
  Multiplier methods for nonlinear optimal control.
  SIAM J. Numer. Anal. 27 (1990), no. 4, 1061--1080.
  49M29 (49K15 49M25)
• 1038944
  Hager, William W.(1-FL)
  Dual techniques for constrained optimization. II.
  Proceedings of the 28th IEEE Conference on Decision and Control, Vol. 1--3 (Tampa, FL, 1989), 364--369,
  IEEE, New York, 1989.
  90C30 (49M30 49N15)
• 1008806
  Hager, W. W.(1-FL)
  A derivative-based bracketing scheme for univariate minimization and the conjugate gradient method.
  Comput. Math. Appl. 18 (1989), no. 9, 779--795.
  65K05 (90C30)
• 1005208
  Hager, William W.(1-PAS-EE); Nisbet, John S.(1-PAS-EE); Kasha, John R.(1-PAS-EE)
  The evolution and discharge of electric fields within a thunderstorm.
  J. Comput. Phys. 82 (1989), no. 1, 193--217.
  65P05 (78-08)
• 997457
  Hager, William W.(1-FL)
  Updating the inverse of a matrix.
  SIAM Rev. 31 (1989), no. 2, 221--239.
  65Fxx
• 987974
  Hager, William W.(1-PAS); Rostamian, Rouben(1-MD4-MS)
  Invariant imbedding and the reflection of elastic waves.
  Control of partial differential equations (Santiago de Compostela, 1987), 144--155,
  Lecture Notes in Control and Inform. Sci., 114,
  Springer, Berlin, 1989.
  73D25 (73D15)
• 972302
  Damlamian, Alain(F-POLY); Hager, William W.(1-PAS); Rostamian, Rouben(1-MD4-MS)
  Homogenization for degenerate equations of elasticity.
  Asymptotic Anal. 1 (1988), no. 4, 283--302.
  73B27
• 955043
  Hager, William W.(1-PAS); Rostamian, Rouben(1-MD4-MS)
  Reflection and refraction of elastic waves for stratified materials.
  Wave Motion 10 (1988), no. 4, 333--348.
  73D15 (73D25)
• 918423
  Hager, W. W.(1-PAS)
  Bidiagonalization and diagonalization.
  Comput. Math. Appl. 14 (1987), no. 7, 561--572.
  65F30
• 915677
  Hager, W. W.(1-PAS)
  Dual techniques for constrained optimization.
  J. Optim. Theory Appl. 55 (1987), no. 1, 37--71.
  90C30 (49D07 49D29)
• 910520
  Hager, W. W.(1-PAS); Rostamian, R.(1-MD4-MS)
  Coating reflectivity.
  Control problems for systems described by partial differential equations and applications (Gainesville, Fla., 1986), 247--258,
  Lecture Notes in Control and Inform. Sci., 97,
  Springer, Berlin, 1987.
  76Q05 (35Q99)
• 885191
  Hager, William W.(1-PAS); Presler, Dwayne L.
  Dual techniques for minimax.
  SIAM J. Control Optim. 25 (1987), no. 3, 660--685.
  90C30 (65K05)
• 876650
  Hager, William W.(1-PAS); Rostamian, Rouben(1-MD4-MS)
  Optimal coatings, bang-bang controls, and gradient techniques.
  Optimal Control Appl. Methods 8 (1987), no. 1, 1--20.
  73F15 (49A10 49A36)
• 871227
  Hager, William W.(1-PAS)
  A modified fast Fourier transform for polynomial evaluation and the Jenkins-Traub algorithm.
  Numer. Math. 50 (1987), no. 3, 253--261.
  65E05 (65H05 65T05)
• 772881
  Hager, William W.(1-PAS)
  Approximations to the multiplier method.
  SIAM J. Numer. Anal. 22 (1985), no. 1, 16--46.
  49D15 (65K10 90C48)
• 740850
  Hager, William W.(1-PAS)
  Condition estimates.
  SIAM J. Sci. Statist. Comput. 5 (1984), no. 2, 311--316.
  65F35
• 739835
  Hager, William W.(1-PAS); Ianculescu, George D.(1-CAIT-J)
  Dual approximations in optimal control.
  SIAM J. Control Optim. 22 (1984), no. 3, 423--465.
  49A55 (49D37)
• 656413
  Hager, William W.; Pederson, Roger N.
  Perturbations in eigenvalues.
  Linear Algebra Appl. 42 (1982), 39--55.
  15A18 (15A57)
• 663924
  Ianculescu, G. D.; Hager, W. W.
  The semidual computational method for optimal control.
  Third IMA Conference on Control Theory (Sheffield, 1980), pp. 383--405,
  Academic Press, London-New York, 1981.
  49D29
• 646978
  Hager, William W.; Ianculescu, George D.
  Semidual approximations in optimal control.
  Mathematical methods in operations research (Sofia, 1980), pp. 55--64,
  Bulgar. Acad. Sci., Sofia, 1981.
  49D29 (49D39)
• 606506
  Delfour, M.; Hager, W.; Trochu, F.
  Discontinuous Galerkin methods for ordinary differential equations.
  Math. Comp. 36 (1981), no. 154, 455--473.
  65L10 (65N30)
• 630756
  Hager, William W.
  The implicit truncation method.
  Free boundary problems, Vol. II (Pavia, 1979), pp. 333--345,
  Ist. Naz. Alta Mat. Francesco Severi, Rome, 1980.
  73K25 (65N30)
• 630755
  Hager, William W.; Ianculescu, George D.
  Semidual approximations in optimal control: quadratic cost.
  Free boundary problems, Vol. II (Pavia, 1979), pp. 321--322,
  Ist. Naz. Alta Mat. Francesco Severi, Rome, 1980.
  49D30
• 588543
  Hager, William W.; Ianculescu, George D.
  Semidual approximations in optimal control.
  Optimization techniques (Proc. Ninth IFIP Conf., Warsaw, 1979), Part 1, pp. 295--301,
  Lecture Notes in Control and Information Sci., 22,
  Springer, Berlin-New York, 1980.
  49D45
• 641919
• 641781
• 559495
  Hager, William W.
  Inequalities and approximation.
  Constructive approaches to mathematical models (Proc. Conf. in honor of R. J. Duffin, Pittsburgh, Pa., 1978), pp. 189--202,
  Academic Press, New York-London-Toronto, Ont., 1979.
  49A29 (49D40 90C30)
• 528899
  Hager, William W.
  Lipschitz continuity for constrained processes.
  SIAM J. Control Optim. 17 (1979), no. 3, 321--338.
  49C05 (26A16 93C99)
• 508584
  Brezzi, Franco; Hager, William W.; Raviart, P.-A.
  Error estimates for the finite element solution of variational inequalities. II. Mixed methods.
  Numer. Math. 31 (1978/79), no. 1, 1--16.
  65N30
• 471610
  Hager, William W.; Rogers, Joel C. W.
  Minimum drag surfaces.
  Appl. Math. Optim. 4 (1977/78), no. 2, 197--207.
  76.49
• 448949
  Brezzi, Franco; Hager, William W.; Raviart, P.-A.
  Error estimates for the finite element solution of variational inequalities.
  Numer. Math. 28 (1977), no. 4, 431--443.
  65N30
• 500418
  Hager, William W.
  Rates of convergence for discrete approximations to unconstrained control problems.
  SIAM J. Numer. Anal. 13 (1976), no. 4, 449--472.
  49D99 (65K05)
• 410512
  Hager, William W.; Mitter, Sanjoy K.
  Lagrange duality theory for convex control problems.
  SIAM J. Control Optimization 14 (1976), no. 5, 843--856.
  49B10 (49D15)
• 406640
  Hager, William W.; Horowitz, Larry L.
  Convergence and stability properties of the discrete Riccati operator equation and the associated optimal control and filtering problems.
  SIAM J. Control Optimization 14 (1976), no. 2, 295--312.
  93E10 (93C15 49E20)
• 415463
  Hager, William W.
  The Ritz-Trefftz method for state and control constrained optimal control problems.
  SIAM J. Numer. Anal. 12 (1975), no. 6, 854--867.
  49D15
• 388768
  Hager, William W.; Strang, Gilbert
  Free boundaries and finite elements in one dimension.
  Math. Comput. 29 (1975), no. 132, 1020--1031.
  65K05
• 339788
  Hager, William W.; Garg, Devendra P.
  Dynamics of a non-linear spatial trade model.
  Internat. J. Systems Sci. 3 (1972), 427--438.
  90A15