Philip E. Gill

According to our database, Philip E. Gill authored at least 39 papers between 1974 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2023

An LDL^T Trust-Region Quasi-Newton Method.

Johannes J. Brust, Philip E. Gill

CoRR, 2023

2020

A Shifted Primal-Dual Penalty-Barrier Method for Nonlinear Optimization.

Philip E. Gill, Vyacheslav Kungurtsev, Daniel P. Robinson

SIAM J. Optim., 2020

2017

A stabilized SQP method: superlinear convergence.

Philip E. Gill, Vyacheslav Kungurtsev, Daniel P. Robinson

Math. Program., 2017

2016

Primal and dual active-set methods for convex quadratic programming.

Anders Forsgren, Philip E. Gill, Elizabeth Wong

Math. Program., 2016

2015

Methods for convex and general quadratic programming.

Philip E. Gill, Elizabeth Wong

Math. Program. Comput., 2015

A note on "On fast trust region methods for quadratic models with linear constraints", by Michael J.D. Powell.

Daniel Bienstock, Philip E. Gill, Nicholas I. M. Gould

Math. Program. Comput., 2015

2013

A Globally Convergent Stabilized SQP Method.

Philip E. Gill, Daniel P. Robinson

SIAM J. Optim., 2013

2012

A primal-dual augmented Lagrangian.

Philip E. Gill, Daniel P. Robinson

Comput. Optim. Appl., 2012

2011

An Augmented Lagrangian Method for Total Variation Video Restoration.

Stanley H. Chan, Ramsin Khoshabeh, Kristofor B. Gibson, Philip E. Gill, Truong Q. Nguyen

IEEE Trans. Image Process., 2011

An augmented Lagrangian method for video restoration.

Stanley H. Chan, Ramsin Khoshabeh, Kristofor B. Gibson, Philip E. Gill, Truong Q. Nguyen

Proceedings of the IEEE International Conference on Acoustics, 2011

2009

Iterative Methods for Finding a Trust-region Step.

Jennifer B. Erway, Philip E. Gill, Joshua D. Griffin

SIAM J. Optim., 2009

A Subspace Minimization Method for the Trust-Region Step.

Jennifer B. Erway, Philip E. Gill

SIAM J. Optim., 2009

2008

George B. Dantzig and systems optimization.

Philip E. Gill, Walter Murray, Michael A. Saunders, John A. Tomlin, Margaret H. Wright

Discret. Optim., 2008

2007

Iterative Solution of Augmented Systems Arising in Interior Methods.

Anders Forsgren, Philip E. Gill, Joshua D. Griffin

SIAM J. Optim., 2007

Methods for modifying matrix factorizations.

Gene H. Golub, Philip E. Gill, Walter Murray, Michael A. Saunders

Proceedings of the Milestones in Matrix Computation, 2007

2004

A primal-dual trust region algorithm for nonlinear optimization.

E. Michael Gertz, Philip E. Gill

Math. Program., 2004

2003

Limited-Memory Reduced-Hessian Methods for Large-Scale Unconstrained Optimization.

Philip E. Gill, Michael W. Leonard

SIAM J. Optim., 2003

2002

Interior Methods for Nonlinear Optimization.

Anders Forsgren, Philip E. Gill, Margaret H. Wright

SIAM Rev., 2002

SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization.

Philip E. Gill, Walter Murray, Michael A. Saunders

SIAM J. Optim., 2002

2001

Reduced-Hessian Quasi-Newton Methods for Unconstrained Optimization.

Philip E. Gill, Michael W. Leonard

SIAM J. Optim., 2001

Users Guide for SnadiOpt: A Package Adding Automatic Differentiation to Snopt

E. Michael Gertz, Philip E. Gill, Julia Muetherig

CoRR, 2001

1998

Primal-Dual Interior Methods for Nonconvex Nonlinear Programming.

Anders Forsgren, Philip E. Gill

SIAM J. Optim., 1998

1996

On the Stability of Cholesky Factorization for Symmetric Quasidefinite Systems.

Philip E. Gill, Michael A. Saunders, Joseph R. Shinnerl

SIAM J. Matrix Anal. Appl., 1996

Stability of Symmetric Ill-Conditioned Systems Arising in Interior Methods for Constrained Optimization.

Anders Forsgren, Philip E. Gill, Joseph R. Shinnerl

SIAM J. Matrix Anal. Appl., 1996

1995

Computing Modified Newton Directions Using a Partial Cholesky Factorization.

Anders Forsgren, Philip E. Gill, Walter Murray

SIAM J. Sci. Comput., 1995

Primal - dual methods for linear programming.

Philip E. Gill, Walter Murray, Dulce B. Ponceleon, Michael A. Saunders

Math. Program., 1995

1992

Preconditioners for Indefinite Systems Arising in Optimization.

Philip E. Gill, Walter Murray, Dulce B. Ponceleón, Michael A. Saunders

SIAM J. Matrix Anal. Appl., 1992

1991

Inertia-Controlling Methods for General Quadratic Programming.

Philip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright

SIAM Rev., 1991

1989

A practical anti-cycling procedure for linearly constrained optimization.

Philip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright

Math. Program., 1989

1986

On projected newton barrier methods for linear programming and an equivalence to Karmarkar's projective method.

Philip E. Gill, Walter Murray, Michael A. Saunders, John A. Tomlin, Margaret H. Wright

Math. Program., 1986

1985

Properties of a representation of a basis for the null space.

Philip E. Gill, Walter Murray, Michael A. Saunders, G. W. Stewart, Margaret H. Wright

Math. Program., 1985

1984

Procedures for optimization problems with a mixture of bounds and general linear constraints.

Philip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright

ACM Trans. Math. Softw., 1984

A weighted gram-schmidt method for convex quadratic programming.

Philip E. Gill, Nicholas I. M. Gould, Walter Murray, Michael A. Saunders, Margaret H. Wright

Math. Program., 1984

1982

A note on a sufficient-decrease criterion for a non-derivative step-length procedure.

Philip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright

Math. Program., 1982

1981

Practical optimization.

Philip E. Gill, Walter Murray, Margaret H. Wright

Academic Press, ISBN: 978-0-12-283952-8, 1981

1979

The Design and Structure of a Fortran Program Library for Optimization.

Philip E. Gill, Walter Murray, Susan M. Picken, Margaret H. Wright

ACM Trans. Math. Softw., 1979

The computation of Lagrange-multiplier estimates for constrained minimization.

Philip E. Gill, Walter Murray

Math. Program., 1979

1978

Numerically stable methods for quadratic programming.

Philip E. Gill, Walter Murray

Math. Program., 1978

1974

Newton-type methods for unconstrained and linearly constrained optimization.

Philip E. Gill, Walter Murray

Math. Program., 1974