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Philip E. Gill
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2020 – today
- 2024
- [j38]Philip E. Gill, Minxin Zhang:
A projected-search interior-point method for nonlinearly constrained optimization. Comput. Optim. Appl. 88(1): 37-70 (2024) - [j37]Michael W. Ferry, Philip E. Gill, Elizabeth Wong, Minxin Zhang:
A class of projected-search methods for bound-constrained optimization. Optim. Methods Softw. 39(3): 459-488 (2024) - [j36]Johannes J. Brust, Philip E. Gill:
An \({LDL}^{\textrm{T}}\) Trust-Region Quasi-Newton Method. SIAM J. Sci. Comput. 46(5): 3330- (2024) - 2023
- [i2]Johannes J. Brust, Philip E. Gill:
An LDLT Trust-Region Quasi-Newton Method. CoRR abs/2312.06884 (2023) - 2020
- [j35]Philip E. Gill, Vyacheslav Kungurtsev
, Daniel P. Robinson
A Shifted Primal-Dual Penalty-Barrier Method for Nonlinear Optimization. SIAM J. Optim. 30(2): 1067-1093 (2020)
2010 – 2019
- 2017
- [j34]Philip E. Gill, Vyacheslav Kungurtsev
A stabilized SQP method: superlinear convergence. Math. Program. 163(1-2): 369-410 (2017) - 2016
- [j33]Anders Forsgren, Philip E. Gill, Elizabeth Wong:
Primal and dual active-set methods for convex quadratic programming. Math. Program. 159(1-2): 469-508 (2016) - 2015
- [j32]Philip E. Gill, Elizabeth Wong:
Methods for convex and general quadratic programming. Math. Program. Comput. 7(1): 71-112 (2015) - [j31]Daniel Bienstock, Philip E. Gill, Nicholas I. M. Gould
A note on "On fast trust region methods for quadratic models with linear constraints", by Michael J.D. Powell. Math. Program. Comput. 7(3): 235 (2015) - 2013
- [j30]Philip E. Gill, Daniel P. Robinson:
A Globally Convergent Stabilized SQP Method. SIAM J. Optim. 23(4): 1983-2010 (2013) - 2012
- [j29]Philip E. Gill, Daniel P. Robinson:
A primal-dual augmented Lagrangian. Comput. Optim. Appl. 51(1): 1-25 (2012) - 2011
- [j28]Stanley H. Chan, Ramsin Khoshabeh, Kristofor B. Gibson
An Augmented Lagrangian Method for Total Variation Video Restoration. IEEE Trans. Image Process. 20(11): 3097-3111 (2011) - [c1]Stanley H. Chan, Ramsin Khoshabeh, Kristofor B. Gibson, Philip E. Gill, Truong Q. Nguyen:
An augmented Lagrangian method for video restoration. ICASSP 2011: 941-944
2000 – 2009
- 2009
- [j27]Jennifer B. Erway, Philip E. Gill, Joshua D. Griffin:
Iterative Methods for Finding a Trust-region Step. SIAM J. Optim. 20(2): 1110-1131 (2009) - [j26]Jennifer B. Erway, Philip E. Gill:
A Subspace Minimization Method for the Trust-Region Step. SIAM J. Optim. 20(3): 1439-1461 (2009) - 2008
- [j25]Philip E. Gill, Walter Murray, Michael A. Saunders
George B. Dantzig and systems optimization. Discret. Optim. 5(2): 151-158 (2008) - 2007
- [j24]Anders Forsgren, Philip E. Gill, Joshua D. Griffin:
Iterative Solution of Augmented Systems Arising in Interior Methods. SIAM J. Optim. 18(2): 666-690 (2007) - [p1]Gene H. Golub, Philip E. Gill, Walter Murray, Michael A. Saunders:
Methods for modifying matrix factorizations. Milestones in Matrix Computation 2007: 309-344 - 2005
- [j23]Philip E. Gill, Walter Murray, Michael A. Saunders
SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization. SIAM Rev. 47(1): 99-131 (2005) - 2004
- [j22]E. Michael Gertz, Philip E. Gill:
A primal-dual trust region algorithm for nonlinear optimization. Math. Program. 100(1): 49-94 (2004) - 2003
- [j21]Philip E. Gill, Michael W. Leonard:
Limited-Memory Reduced-Hessian Methods for Large-Scale Unconstrained Optimization. SIAM J. Optim. 14(2): 380-401 (2003) - 2002
- [j20]Philip E. Gill, Walter Murray, Michael A. Saunders:
SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization. SIAM J. Optim. 12(4): 979-1006 (2002) - [j19]Anders Forsgren, Philip E. Gill, Margaret H. Wright:
Interior Methods for Nonlinear Optimization. SIAM Rev. 44(4): 525-597 (2002) - 2001
- [j18]Philip E. Gill, Michael W. Leonard:
Reduced-Hessian Quasi-Newton Methods for Unconstrained Optimization. SIAM J. Optim. 12(1): 209-237 (2001) - [i1]E. Michael Gertz, Philip E. Gill, Julia Muetherig:
Users Guide for SnadiOpt: A Package Adding Automatic Differentiation to Snopt. CoRR cs.MS/0106051 (2001)
1990 – 1999
- 1998
- [j17]Anders Forsgren, Philip E. Gill:
Primal-Dual Interior Methods for Nonconvex Nonlinear Programming. SIAM J. Optim. 8(4): 1132-1152 (1998) - 1996
- [j16]Philip E. Gill, Michael A. Saunders, Joseph R. Shinnerl:
On the Stability of Cholesky Factorization for Symmetric Quasidefinite Systems. SIAM J. Matrix Anal. Appl. 17(1): 35-46 (1996) - [j15]Anders Forsgren, Philip E. Gill, Joseph R. Shinnerl:
Stability of Symmetric Ill-Conditioned Systems Arising in Interior Methods for Constrained Optimization. SIAM J. Matrix Anal. Appl. 17(1): 187-211 (1996) - 1995
- [j14]Philip E. Gill, Walter Murray, Dulce B. Ponceleon, Michael A. Saunders:
Primal - dual methods for linear programming. Math. Program. 70: 251-277 (1995) - [j13]Anders Forsgren, Philip E. Gill, Walter Murray:
Computing Modified Newton Directions Using a Partial Cholesky Factorization. SIAM J. Sci. Comput. 16(1): 139-150 (1995) - 1992
- [j12]Philip E. Gill, Walter Murray, Dulce B. Ponceleón, Michael A. Saunders:
Preconditioners for Indefinite Systems Arising in Optimization. SIAM J. Matrix Anal. Appl. 13(1): 292-311 (1992) - 1991
- [j11]Philip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright:
Inertia-Controlling Methods for General Quadratic Programming. SIAM Rev. 33(1): 1-36 (1991)
1980 – 1989
- 1989
- [j10]Philip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright:
A practical anti-cycling procedure for linearly constrained optimization. Math. Program. 45(1-3): 437-474 (1989) - 1986
- [j9]Philip E. Gill, Walter Murray, Michael A. Saunders, John A. Tomlin, Margaret H. Wright:
On projected newton barrier methods for linear programming and an equivalence to Karmarkar's projective method. Math. Program. 36(2): 183-209 (1986) - 1985
- [j8]Philip E. Gill, Walter Murray, Michael A. Saunders, G. W. Stewart, Margaret H. Wright:
Properties of a representation of a basis for the null space. Math. Program. 33(2): 172-186 (1985) - 1984
- [j7]Philip E. Gill, Nicholas I. M. Gould
A weighted gram-schmidt method for convex quadratic programming. Math. Program. 30(2): 176-195 (1984) - [j6]Philip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright:
Procedures for optimization problems with a mixture of bounds and general linear constraints. ACM Trans. Math. Softw. 10(3): 282-298 (1984) - 1982
- [j5]Philip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright:
A note on a sufficient-decrease criterion for a non-derivative step-length procedure. Math. Program. 23(1): 349-352 (1982) - 1981
- [b1]Philip E. Gill, Walter Murray, Margaret H. Wright:
Practical optimization. Academic Press 1981, ISBN 978-0-12-283952-8, pp. I-XVI, 1-401
1970 – 1979
- 1979
- [j4]Philip E. Gill, Walter Murray:
The computation of Lagrange-multiplier estimates for constrained minimization. Math. Program. 17(1): 32-60 (1979) - [j3]Philip E. Gill, Walter Murray, Susan M. Picken, Margaret H. Wright:
The Design and Structure of a Fortran Program Library for Optimization. ACM Trans. Math. Softw. 5(3): 259-283 (1979) - 1978
- [j2]Philip E. Gill, Walter Murray:
Numerically stable methods for quadratic programming. Math. Program. 14(1): 349-372 (1978) - 1974
- [j1]Philip E. Gill, Walter Murray:
Newton-type methods for unconstrained and linearly constrained optimization. Math. Program. 7(1): 311-350 (1974)
Coauthor Index
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