Newton-type methods for unconstrained and linearly constrained optimization. - Philip E. Gill; Walter Murray (Math. Program., 1974)

Numerically stable methods for quadratic programming. - Philip E. Gill; Walter Murray (Math. Program., 1978)

The computation of Lagrange-multiplier estimates for constrained minimization. - Philip E. Gill; Walter Murray (Math. Program., 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)

Practical optimization. - Philip E. Gill; Walter Murray; Margaret H. Wright (Academic Press, 1981)

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)

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)

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)

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)

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)

A practical anti-cycling procedure for linearly constrained optimization. - Philip E. Gill; Walter Murray; Michael A. Saunders; Margaret H. Wright (Math. Program., 1989)

Inertia-Controlling Methods for General Quadratic Programming. - Philip E. Gill; Walter Murray; Michael A. Saunders; Margaret H. Wright (SIAM Rev., 1991)

Preconditioners for Indefinite Systems Arising in Optimization. - Philip E. Gill; Walter Murray; Dulce B. Ponceleón; Michael A. Saunders (SIAM J. Matrix Anal. Appl., 1992)

Primal - dual methods for linear programming. - Philip E. Gill; Walter Murray; Dulce B. Ponceleon; Michael A. Saunders (Math. Program., 1995)

Computing Modified Newton Directions Using a Partial Cholesky Factorization. - Anders Forsgren; Philip E. Gill; Walter Murray (SIAM J. Sci. Comput., 1995)

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)

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)

Primal-Dual Interior Methods for Nonconvex Nonlinear Programming. - Anders Forsgren; Philip E. Gill (SIAM J. Optim., 1998)

Users Guide for SnadiOpt: A Package Adding Automatic Differentiation to Snopt - E. Michael Gertz; Philip E. Gill; Julia Muetherig (CoRR, 2001)

Reduced-Hessian Quasi-Newton Methods for Unconstrained Optimization. - Philip E. Gill; Michael W. Leonard (SIAM J. Optim., 2001)

SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization. - Philip E. Gill; Walter Murray; Michael A. Saunders (SIAM J. Optim., 2002)

Interior Methods for Nonlinear Optimization. - Anders Forsgren; Philip E. Gill; Margaret H. Wright (SIAM Rev., 2002)

Limited-Memory Reduced-Hessian Methods for Large-Scale Unconstrained Optimization. - Philip E. Gill; Michael W. Leonard (SIAM J. Optim., 2003)

A primal-dual trust region algorithm for nonlinear optimization. - E. Michael Gertz; Philip E. Gill (Math. Program., 2004)

Methods for modifying matrix factorizations. - Gene H. Golub; Philip E. Gill; Walter Murray; Michael A. Saunders (Milestones in Matrix Computation, 2007)

Iterative Solution of Augmented Systems Arising in Interior Methods. - Anders Forsgren; Philip E. Gill; Joshua D. Griffin (SIAM J. Optim., 2007)

George B. Dantzig and systems optimization. - Philip E. Gill; Walter Murray; Michael A. Saunders; John A. Tomlin; Margaret H. Wright (Discret. Optim., 2008)

A Subspace Minimization Method for the Trust-Region Step. - Jennifer B. Erway; Philip E. Gill (SIAM J. Optim., 2009)

Iterative Methods for Finding a Trust-region Step. - Jennifer B. Erway; Philip E. Gill; Joshua D. Griffin (SIAM J. Optim., 2009)

An augmented Lagrangian method for video restoration. - Stanley H. Chan; Ramsin Khoshabeh; Kristofor B. Gibson; Philip E. Gill; Truong Q. Nguyen (ICASSP, 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)

A primal-dual augmented Lagrangian. - Philip E. Gill; Daniel P. Robinson (Comput. Optim. Appl., 2012)

A Globally Convergent Stabilized SQP Method. - Philip E. Gill; Daniel P. Robinson (SIAM J. Optim., 2013)

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)

Methods for convex and general quadratic programming. - Philip E. Gill; Elizabeth Wong (Math. Program. Comput., 2015)

Primal and dual active-set methods for convex quadratic programming. - Anders Forsgren; Philip E. Gill; Elizabeth Wong (Math. Program., 2016)

A stabilized SQP method: superlinear convergence. - Philip E. Gill; Vyacheslav Kungurtsev; Daniel P. Robinson (Math. Program., 2017)

A Shifted Primal-Dual Penalty-Barrier Method for Nonlinear Optimization. - Philip E. Gill; Vyacheslav Kungurtsev; Daniel P. Robinson (SIAM J. Optim., 2020)

An LDLT Trust-Region Quasi-Newton Method. - Johannes J. Brust; Philip E. Gill (CoRR, 2023)

A class of projected-search methods for bound-constrained optimization. - Michael W. Ferry; Philip E. Gill; Elizabeth Wong; Minxin Zhang (Optim. Methods Softw., 2024)

An ({LDL}^{ textrm{T}} ) Trust-Region Quasi-Newton Method. - Johannes J. Brust; Philip E. Gill (SIAM J. Sci. Comput., 2024)

A projected-search interior-point method for nonlinearly constrained optimization. - Philip E. Gill; Minxin Zhang (Comput. Optim. Appl., 2024)