Philip E. Gill

Publication Activity (10 Years)

Years Active: 1974-2024
Publications (10 Years): 5

Top Topics

Constrained Optimization

Linearly Constrained

Quadratic Programming

Top Venues

Math. Program. Comput.

Publications

Philip E. Gill, Minxin Zhang
A projected-search interior-point method for nonlinearly constrained optimization. Comput. Optim. Appl. 88 (1) (2024)
Johannes J. Brust, Philip E. Gill
Trust-Region Quasi-Newton Method. CoRR (2023)
Philip E. Gill, Vyacheslav Kungurtsev, Daniel P. Robinson
A Shifted Primal-Dual Penalty-Barrier Method for Nonlinear Optimization. SIAM J. Optim. 30 (2) (2020)
Philip E. Gill, Vyacheslav Kungurtsev, Daniel P. Robinson
A stabilized SQP method: superlinear convergence. Math. Program. 163 (1-2) (2017)
Anders Forsgren, Philip E. Gill, Elizabeth Wong
Primal and dual active-set methods for convex quadratic programming. Math. Program. 159 (1-2) (2016)
Philip E. Gill, Elizabeth Wong
Methods for convex and general quadratic programming. Math. Program. Comput. 7 (1) (2015)
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) (2015)
Philip E. Gill, Daniel P. Robinson
A Globally Convergent Stabilized SQP Method. SIAM J. Optim. 23 (4) (2013)
Philip E. Gill, Daniel P. Robinson
A primal-dual augmented Lagrangian. Comput. Optim. Appl. 51 (1) (2012)
Stanley H. Chan, Ramsin Khoshabeh, Kristofor B. Gibson, Philip E. Gill, Truong Q. Nguyen
An Augmented Lagrangian Method for Total Variation Video Restoration. IEEE Trans. Image Process. 20 (11) (2011)
Stanley H. Chan, Ramsin Khoshabeh, Kristofor B. Gibson, Philip E. Gill, Truong Q. Nguyen
An augmented Lagrangian method for video restoration. ICASSP (2011)
Jennifer B. Erway, Philip E. Gill, Joshua D. Griffin
Iterative Methods for Finding a Trust-region Step. SIAM J. Optim. 20 (2) (2009)
Jennifer B. Erway, Philip E. Gill
A Subspace Minimization Method for the Trust-Region Step. SIAM J. Optim. 20 (3) (2009)
Philip E. Gill, Walter Murray, Michael A. Saunders, John A. Tomlin, Margaret H. Wright
George B. Dantzig and systems optimization. Discret. Optim. 5 (2) (2008)
Anders Forsgren, Philip E. Gill, Joshua D. Griffin
Iterative Solution of Augmented Systems Arising in Interior Methods. SIAM J. Optim. 18 (2) (2007)
Philip E. Gill, Walter Murray, Michael A. Saunders
SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization. SIAM Rev. 47 (1) (2005)
E. Michael Gertz, Philip E. Gill
A primal-dual trust region algorithm for nonlinear optimization. Math. Program. 100 (1) (2004)
Philip E. Gill, Michael W. Leonard
Limited-Memory Reduced-Hessian Methods for Large-Scale Unconstrained Optimization. SIAM J. Optim. 14 (2) (2003)
Philip E. Gill, Walter Murray, Michael A. Saunders
SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization. SIAM J. Optim. 12 (4) (2002)
Anders Forsgren, Philip E. Gill, Margaret H. Wright
Interior Methods for Nonlinear Optimization. SIAM Rev. 44 (4) (2002)
E. Michael Gertz, Philip E. Gill, Julia Muetherig
Users Guide for SnadiOpt: A Package Adding Automatic Differentiation to Snopt CoRR (2001)
Philip E. Gill, Michael W. Leonard
Reduced-Hessian Quasi-Newton Methods for Unconstrained Optimization. SIAM J. Optim. 12 (1) (2001)
Anders Forsgren, Philip E. Gill
Primal-Dual Interior Methods for Nonconvex Nonlinear Programming. SIAM J. Optim. 8 (4) (1998)
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) (1996)
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) (1996)
Philip E. Gill, Walter Murray, Dulce B. Ponceleon, Michael A. Saunders
Primal - dual methods for linear programming. Math. Program. 70 (1995)
Anders Forsgren, Philip E. Gill, Walter Murray
Computing Modified Newton Directions Using a Partial Cholesky Factorization. SIAM J. Sci. Comput. 16 (1) (1995)
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) (1992)
Philip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright
Inertia-Controlling Methods for General Quadratic Programming. SIAM Rev. 33 (1) (1991)
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) (1989)
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) (1986)
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) (1985)
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) (1984)
Philip E. Gill, Nicholas I. M. Gould, Walter Murray, Michael A. Saunders, Margaret H. Wright
A weighted gram-schmidt method for convex quadratic programming. Math. Program. 30 (2) (1984)
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) (1982)
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) (1979)
Philip E. Gill, Walter Murray
The computation of Lagrange-multiplier estimates for constrained minimization. Math. Program. 17 (1) (1979)
Philip E. Gill, Walter Murray
Numerically stable methods for quadratic programming. Math. Program. 14 (1) (1978)
Philip E. Gill, Walter Murray
Newton-type methods for unconstrained and linearly constrained optimization. Math. Program. 7 (1) (1974)