Philip E. Gill - Publications

Affiliations: 
University of California, San Diego, La Jolla, CA 
Area:
Mathematics

57 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Gill PE, Kungurtsev V, Robinson DP. A Shifted Primal-Dual Penalty-Barrier Method for Nonlinear Optimization Siam Journal On Optimization. 30: 1067-1093. DOI: 10.1137/19M1247425  0.518
2017 Gill PE, Kungurtsev V, Robinson DP. A stabilized SQP method: global convergence Ima Journal of Numerical Analysis. 37: 407-443. DOI: 10.1093/Imanum/Drw004  0.414
2017 Gill PE, Kungurtsev V, Robinson DP. A stabilized SQP method: superlinear convergence Mathematical Programming. 163: 369-410. DOI: 10.1007/S10107-016-1066-7  0.588
2015 Bienstock D, Gill PE, Gould N. A note on “On fast trust region methods for quadratic models with linear constraints”, by Michael J.D. Powell Mathematical Programming Computation. 7: 235. DOI: 10.1007/S12532-015-0085-3  0.467
2015 Gill PE, Wong E. Methods for convex and general quadratic programming Mathematical Programming Computation. 7: 71-112. DOI: 10.1007/S12532-014-0075-X  0.766
2015 Forsgren A, Gill PE, Wong E. Primal and dual active-set methods for convex quadratic programming Mathematical Programming. 1-40. DOI: 10.1007/S10107-015-0966-2  0.766
2015 Gill PE, Saunders MA, Wong E. On the performance of SQP methods for nonlinear optimization Springer Proceedings in Mathematics and Statistics. 147: 95-123. DOI: 10.1007/978-3-319-23699-5_5  0.559
2013 Gill PE, Robinson DP. A globally convergent stabilized sqp method Siam Journal On Optimization. 23: 1983-2010. DOI: 10.1137/120882913  0.616
2012 Gu Q, Barbato M, Conte JP, Gill PE, McKenna F. OpenSees-SNOPT framework for finite-element-based optimization of structural and geotechnical systems Journal of Structural Engineering (United States). 138: 822-834. DOI: 10.1061/(Asce)St.1943-541X.0000511  0.396
2012 Gill PE, Robinson DP. A primal-dual augmented Lagrangian Computational Optimization and Applications. 51: 1-25. DOI: 10.1007/S10589-010-9339-1  0.545
2011 Chan SH, Khoshabeh R, Gibson KB, Gill PE, Nguyen TQ. An augmented Lagrangian method for total variation video restoration. Ieee Transactions On Image Processing : a Publication of the Ieee Signal Processing Society. 20: 3097-111. PMID 21632302 DOI: 10.1109/Tip.2011.2158229  0.48
2011 Van Beusekom AE, Parker RL, Bank RE, Gill PE, Constable S. The 2-D magnetotelluric inverse problem solved with optimization Geophysical Journal International. 184: 639-650. DOI: 10.1111/J.1365-246X.2010.04895.X  0.473
2011 Chan SH, Khoshabeh R, Gibson KB, Gill PE, Nguyen TQ. An augmented Lagrangian method for video restoration Icassp, Ieee International Conference On Acoustics, Speech and Signal Processing - Proceedings. 941-944. DOI: 10.1109/ICASSP.2011.5946560  0.389
2009 Erway JB, Gill PE. A Subspace Minimization Method for the Trust-Region Step Siam Journal On Optimization. 20: 1439-1461. DOI: 10.1137/08072440X  0.788
2009 Erway JB, Gill PE, Griffin JD. Iterative methods for finding a trust-region step Siam Journal On Optimization. 20: 1110-1131. DOI: 10.1137/070708494  0.792
2008 Creveling DR, Gill PE, Abarbanel HDI. State and parameter estimation in nonlinear systems as an optimal tracking problem Physics Letters, Section a: General, Atomic and Solid State Physics. 372: 2640-2644. DOI: 10.1016/J.Physleta.2007.12.051  0.37
2008 Gill PE, Murray W, Saunders MA, Tomlin JA, Wright MH. George B. Dantzig and systems optimization Discrete Optimization. 5: 151-158. DOI: 10.1016/J.Disopt.2007.01.002  0.58
2007 Forsgren A, Gill PE, Griffin JD. Iterative solution of augmented systems arising in interior methods Siam Journal On Optimization. 18: 666-690. DOI: 10.1137/060650210  0.541
2006 Masic M, Skelton RE, Gill PE. Optimization of tensegrity structures International Journal of Solids and Structures. 43: 4687-4703. DOI: 10.1016/J.Ijsolstr.2005.07.046  0.406
2005 Masic M, Skelton RE, Gill PE. Algebraic tensegrity form-finding International Journal of Solids and Structures. 42: 4833-4858. DOI: 10.1016/J.Ijsolstr.2005.01.014  0.412
2004 Gill PE, Leonard MW. Limited-memory reduced-Hessian methods for large-scale unconstrained optimization Siam Journal On Optimization. 14: 380-401. DOI: 10.1137/S1052623497319973  0.463
2004 Michael Gertz E, Gill PE. A primal-dual trust region algorithm for nonlinear optimization Mathematical Programming. 100: 49-94. DOI: 10.1007/S10107-003-0486-3  0.567
2002 Gill PE, Murray W, Saunders MA. SNOPT: An SQP algorithm for large-scale constrained optimization Siam Journal On Optimization. 12: 979-1006. DOI: 10.1137/S1052623499350013  0.538
2002 Gill PE, Leonard MW. Reduced-Hessian quasi-Newton methods for unconstrained optimization Siam Journal On Optimization. 12: 209-237. DOI: 10.1137/S1052623400307950  0.586
2002 Forsgren A, Gill PE, Wright MH. Interior methods for nonlinear optimization Siam Review. 44: 525-597. DOI: 10.1137/S0036144502414942  0.592
2000 Gill PE, Jay LO, Leonard MW, Petzold LR, Sharma V. An SQP method for the optimal control of large-scale dynamical systems Journal of Computational and Applied Mathematics. 120: 197-213. DOI: 10.1016/S0377-0427(00)00310-1  0.544
1998 Forsgren A, Gill PE. Primal-dual interior methods for nonconvex nonlinear programming Siam Journal On Optimization. 8: 1132-1152. DOI: 10.1137/S1052623496305560  0.559
1996 Forsgren A, Gill PE, Shinnerl JR. Stability of symmetric ILL-conditioned systems arising in interior methods for constrained optimization Siam Journal On Matrix Analysis and Applications. 17: 187-211. DOI: 10.1137/S0895479894270658  0.452
1996 Gill PE, Saunders MA, Shinnerl JR. On the stability of Cholesky factorization for symmetric quasidefinite systems Siam Journal On Matrix Analysis and Applications. 17: 35-46. DOI: 10.1137/S0895479893252623  0.421
1995 Forsgren A, Gill PE, Murray W. Computing modified Newton directions using a partial Cholesky factorization Siam Journal On Scientific Computing. 16: 139-150. DOI: 10.1137/0916009  0.692
1995 Gill PE, Murray W, Ponceleón DB, Saunders MA. Primal-dual methods for linear programming Mathematical Programming. 70: 251-277. DOI: 10.1007/Bf01585940  0.702
1992 Gill PE, Murray W, Ponceleón DB, Saunders MA. Preconditioners for indefinite systems arising in optimization Siam Journal On Matrix Analysis and Applications. 13: 292-311. DOI: 10.1137/0613022  0.655
1991 Gill PE, Murray W, Saunders MA, Wright MH. Inertia-controlling methods for general quadratic programming Siam Review. 33: 1-36. DOI: 10.1137/1033001  0.527
1991 Forsgren AL, Gill PE, Murray W. On the identification of local minimizers in inertia-controlling methods for quadratic programming Siam Journal On Matrix Analysis and Applications. 12: 730-746. DOI: 10.1137/0612057  0.702
1989 Gill PE, Murray W, Saunders MA, Wright MH. A practical anti-cycling procedure for linearly constrained optimization Mathematical Programming. 45: 437-474. DOI: 10.1007/Bf01589114  0.558
1988 Gill PE, Murray W, Saunders MA, Wright MH. Recent developments in constrained optimization Journal of Computational and Applied Mathematics. 22: 257-270. DOI: 10.1016/0377-0427(88)90405-0  0.697
1987 Gill PE, Murray W, Saunders MA, Wright MH. Maintaining LU factors of a general sparse matrix Linear Algebra and Its Applications. 88: 239-270. DOI: 10.1016/0024-3795(87)90112-1  0.357
1986 Gill PE, Murray W, Saunders MA, Tomlin JA, Wright MH. On projected newton barrier methods for linear programming and an equivalence to Karmarkar's projective method Mathematical Programming. 36: 183-209. DOI: 10.1007/Bf02592025  0.52
1985 Gill PE, Murray W, Saunders MA, Wright MH. Some issues in implementing a sequential quadratic programming algorithm Acm Signum Newsletter. 20: 13-19. DOI: 10.1145/1057941.1057944  0.646
1985 Gill PE, Murray W, Saunders MA, Stewart GW, Wright MH. Properties of a representation of a basis for the null space Mathematical Programming. 33: 172-186. DOI: 10.1007/Bf01582244  0.621
1984 Gill PE, Murray W, Saunders MA, Wright MH. Procedures for optimization problems with a mixture of bounds and general linear constraints Acm Transactions On Mathematical Software (Toms). 10: 282-298. DOI: 10.1145/1271.1276  0.697
1984 Gill PE, Murray W, Saunders MA, Wright MH. Sparse Matrix Methods in Optimization Siam Journal On Scientific and Statistical Computing. 5: 562-589. DOI: 10.1137/0905041  0.453
1984 Gorelick SM, Voss CI, Gill PE, Murray W, Saunders MA, Wright MH. Aquifer Reclamation Design: The Use of Contaminant Transport Simulation Combined With Nonlinear Programing Water Resources Research. 20: 415-427. DOI: 10.1029/Wr020I004P00415  0.579
1984 Gill PE, Murray W, Saunders MA, Wright MH. Trends in nonlinear programming software European Journal of Operational Research. 17: 141-149. DOI: 10.1016/0377-2217(84)90228-5  0.591
1984 Gill PE, Gould NIM, Murray W, Saunders MA, Wright MH. A weighted gram-schmidt method for convex quadratic programming Mathematical Programming. 30: 176-195. DOI: 10.1007/Bf02591884  0.703
1983 Gill PE, Murray W, Saunders MA, Wright MH. Computing Forward-Difference Intervals for Numerical Optimization Siam Journal On Scientific and Statistical Computing. 4: 310-321. DOI: 10.1137/0904025  0.668
1982 Gill PE, Murray W, Saunders MA, Wright MH. A note on a sufficient-decrease criterion for a non-derivative step-length procedure Mathematical Programming. 23: 349-352. DOI: 10.1007/Bf01583799  0.636
1981 Gill PE, Murray W, Saunders MA, Wright MH. Aspects of mathematical modelling related to optimization Applied Mathematical Modelling. 5: 71-83. DOI: 10.1016/0307-904X(81)90002-0  0.626
1979 Gill PE, Murray W, Picken SM, Wright MH. The Design and Structure of a Fortran Program Library for Optimization Acm Transactions On Mathematical Software (Toms). 5: 259-283. DOI: 10.1145/355841.355844  0.621
1979 Gill PE, Murray W. The computation of Lagrange-multiplier estimates for constrained minimization Mathematical Programming. 17: 32-60. DOI: 10.1007/Bf01588224  0.34
1978 Gill PE, Murray W. Algorithms for the Solution of the Nonlinear Least-Squares Problem Siam Journal On Numerical Analysis. 15: 977-992. DOI: 10.1137/0715063  0.709
1978 Gill PE, Murray W. Numerically stable methods for quadratic programming Mathematical Programming. 14: 349-372. DOI: 10.1007/Bf01588976  0.446
1975 Gill PE, Murray W, Saunders MA. Methods for computing and modifying the ldv factors of a matrix Mathematics of Computation. 29: 1051-1077. DOI: 10.1090/S0025-5718-1975-0388754-8  0.628
1974 Gill PE, Golub GH, Murray W, Saunders MA. Methods for modifying matrix factorizations Mathematics of Computation. 28: 505-535. DOI: 10.1090/S0025-5718-1974-0343558-6  0.338
1974 Gill PE, Murray W. Newton-type methods for unconstrained and linearly constrained optimization Mathematical Programming. 7: 311-350. DOI: 10.1007/Bf01585529  0.591
1973 Gill PE, Murray W. A numerically stable form of the simplex algorithm Linear Algebra and Its Applications. 7: 99-138. DOI: 10.1016/0024-3795(73)90047-5  0.553
1972 Gill PE, Murray W. Quasi-newton methods for unconstrained optimization Ima Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 9: 91-108. DOI: 10.1093/Imamat/9.1.91  0.668
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