Philip E. Gill

43 papers Misc 1Journal 40
YearRankTypeTitle / Venue / Authors
2024 J jnl
A class of projected-search methods for bound-constrained optimization.
Optim. Methods Softw.
Michael W. Ferry, Philip E. Gill, Elizabeth Wong, Minxin Zhang
2024 J jnl
A projected-search interior-point method for nonlinearly constrained optimization.
Comput. Optim. Appl.
Philip E. Gill, Minxin Zhang
2024 J jnl
An \({LDL}^{\textrm{T}}\) Trust-Region Quasi-Newton Method.
SIAM J. Sci. Comput.
Johannes J. Brust, Philip E. Gill
2023 J jnl
An LDL
CoRR
Johannes J. Brust, Philip E. Gill
2020 J jnl
A Shifted Primal-Dual Penalty-Barrier Method for Nonlinear Optimization.
SIAM J. Optim.
Philip E. Gill, Vyacheslav Kungurtsev, Daniel P. Robinson
2017 J jnl
A stabilized SQP method: superlinear convergence.
Math. Program.
Philip E. Gill, Vyacheslav Kungurtsev, Daniel P. Robinson
2016 J jnl
Primal and dual active-set methods for convex quadratic programming.
Math. Program.
Anders Forsgren, Philip E. Gill, Elizabeth Wong
2015 J jnl
A note on "On fast trust region methods for quadratic models with linear constraints", by Michael J.D. Powell.
Math. Program. Comput.
Daniel Bienstock, Philip E. Gill, Nicholas I. M. Gould
2015 J jnl
Methods for convex and general quadratic programming.
Math. Program. Comput.
Philip E. Gill, Elizabeth Wong
2013 J jnl
A Globally Convergent Stabilized SQP Method.
SIAM J. Optim.
Philip E. Gill, Daniel P. Robinson
2012 J jnl
A primal-dual augmented Lagrangian.
Comput. Optim. Appl.
Philip E. Gill, Daniel P. Robinson
2011 J jnl
An Augmented Lagrangian Method for Total Variation Video Restoration.
IEEE Trans. Image Process.
Stanley H. Chan, Ramsin Khoshabeh, Kristofor B. Gibson, Philip E. Gill, Truong Q. Nguyen
2011 Misc conf
An augmented Lagrangian method for video restoration.
ICASSP
Stanley H. Chan, Ramsin Khoshabeh, Kristofor B. Gibson, Philip E. Gill, Truong Q. Nguyen
2009 J jnl
A Subspace Minimization Method for the Trust-Region Step.
SIAM J. Optim.
Jennifer B. Erway, Philip E. Gill
2009 J jnl
Iterative Methods for Finding a Trust-region Step.
SIAM J. Optim.
Jennifer B. Erway, Philip E. Gill, Joshua D. Griffin
2008 J jnl
George B. Dantzig and systems optimization.
Discret. Optim.
Philip E. Gill, Walter Murray, Michael A. Saunders, John A. Tomlin, Margaret H. Wright
2007 J jnl
Iterative Solution of Augmented Systems Arising in Interior Methods.
SIAM J. Optim.
Anders Forsgren, Philip E. Gill, Joshua D. Griffin
2007 — ch.
Methods for modifying matrix factorizations.
Milestones in Matrix Computation
Gene H. Golub, Philip E. Gill, Walter Murray, Michael A. Saunders
2005 J jnl
SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization.
SIAM Rev.
Philip E. Gill, Walter Murray, Michael A. Saunders
2004 J jnl
A primal-dual trust region algorithm for nonlinear optimization.
Math. Program.
E. Michael Gertz, Philip E. Gill
2003 J jnl
Limited-Memory Reduced-Hessian Methods for Large-Scale Unconstrained Optimization.
SIAM J. Optim.
Philip E. Gill, Michael W. Leonard
2002 J jnl
Interior Methods for Nonlinear Optimization.
SIAM Rev.
Anders Forsgren, Philip E. Gill, Margaret H. Wright
2002 J jnl
SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization.
SIAM J. Optim.
Philip E. Gill, Walter Murray, Michael A. Saunders
2001 J jnl
Reduced-Hessian Quasi-Newton Methods for Unconstrained Optimization.
SIAM J. Optim.
Philip E. Gill, Michael W. Leonard
2001 J jnl
Users Guide for SnadiOpt: A Package Adding Automatic Differentiation to Snopt
CoRR
E. Michael Gertz, Philip E. Gill, Julia Muetherig
1998 J jnl
Primal-Dual Interior Methods for Nonconvex Nonlinear Programming.
SIAM J. Optim.
Anders Forsgren, Philip E. Gill
1996 J jnl
On the Stability of Cholesky Factorization for Symmetric Quasidefinite Systems.
SIAM J. Matrix Anal. Appl.
Philip E. Gill, Michael A. Saunders, Joseph R. Shinnerl
1996 J jnl
Stability of Symmetric Ill-Conditioned Systems Arising in Interior Methods for Constrained Optimization.
SIAM J. Matrix Anal. Appl.
Anders Forsgren, Philip E. Gill, Joseph R. Shinnerl
1995 J jnl
Computing Modified Newton Directions Using a Partial Cholesky Factorization.
SIAM J. Sci. Comput.
Anders Forsgren, Philip E. Gill, Walter Murray
1995 J jnl
Primal - dual methods for linear programming.
Math. Program.
Philip E. Gill, Walter Murray, Dulce B. Ponceleon, Michael A. Saunders
1992 J jnl
Preconditioners for Indefinite Systems Arising in Optimization.
SIAM J. Matrix Anal. Appl.
Philip E. Gill, Walter Murray, Dulce B. Ponceleón, Michael A. Saunders
1991 J jnl
Inertia-Controlling Methods for General Quadratic Programming.
SIAM Rev.
Philip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright
1989 J jnl
A practical anti-cycling procedure for linearly constrained optimization.
Math. Program.
Philip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright
1986 J jnl
On projected newton barrier methods for linear programming and an equivalence to Karmarkar's projective method.
Math. Program.
Philip E. Gill, Walter Murray, Michael A. Saunders, John A. Tomlin, Margaret H. Wright
1985 J jnl
Properties of a representation of a basis for the null space.
Math. Program.
Philip E. Gill, Walter Murray, Michael A. Saunders, G. W. Stewart, Margaret H. Wright
1984 J jnl
A weighted gram-schmidt method for convex quadratic programming.
Math. Program.
Philip E. Gill, Nicholas I. M. Gould, Walter Murray, Michael A. Saunders, Margaret H. Wright
1984 J jnl
Procedures for optimization problems with a mixture of bounds and general linear constraints.
ACM Trans. Math. Softw.
Philip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright
1982 J jnl
A note on a sufficient-decrease criterion for a non-derivative step-length procedure.
Math. Program.
Philip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright
1981 — book
Practical optimization.
Philip E. Gill, Walter Murray, Margaret H. Wright
1979 J jnl
The Design and Structure of a Fortran Program Library for Optimization.
ACM Trans. Math. Softw.
Philip E. Gill, Walter Murray, Susan M. Picken, Margaret H. Wright
1979 J jnl
The computation of Lagrange-multiplier estimates for constrained minimization.
Math. Program.
Philip E. Gill, Walter Murray
1978 J jnl
Numerically stable methods for quadratic programming.
Math. Program.
Philip E. Gill, Walter Murray
1974 J jnl
Newton-type methods for unconstrained and linearly constrained optimization.
Math. Program.
Philip E. Gill, Walter Murray