Philip E. Gill - researchr alias

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Viewing Publication 1 - 39 from 39

2024

A projected-search interior-point method for nonlinearly constrained optimizationPhilip E. Gill, Minxin Zhang. coap, 88(1):37-70, May 2024. [doi]

2020

A Shifted Primal-Dual Penalty-Barrier Method for Nonlinear OptimizationPhilip E. Gill, Vyacheslav Kungurtsev, Daniel P. Robinson. siamjo, 30(2):1067-1093, 2020. [doi]

2017

A stabilized SQP method: superlinear convergencePhilip E. Gill, Vyacheslav Kungurtsev, Daniel P. Robinson. mp, 163(1-2):369-410, 2017. [doi]

2016

Primal and dual active-set methods for convex quadratic programmingAnders Forsgren, Philip E. Gill, Elizabeth Wong. mp, 159(1-2):469-508, 2016. [doi]

2015

A note on "On fast trust region methods for quadratic models with linear constraints", by Michael J.D. PowellDaniel Bienstock, Philip E. Gill, Nicholas I. M. Gould. mpc, 7(3):235, 2015. [doi]

Methods for convex and general quadratic programmingPhilip E. Gill, Elizabeth Wong. mpc, 7(1):71-112, 2015. [doi]

2013

A Globally Convergent Stabilized SQP MethodPhilip E. Gill, Daniel P. Robinson. siamjo, 23(4):1983-2010, 2013. [doi]

2012

A primal-dual augmented LagrangianPhilip E. Gill, Daniel P. Robinson. coap, 51(1):1-25, 2012. [doi]

2011

An Augmented Lagrangian Method for Total Variation Video RestorationStanley H. Chan, Ramsin Khoshabeh, Kristofor B. Gibson, Philip E. Gill, Truong Q. Nguyen. TIP, 20(11):3097-3111, 2011. [doi]

An augmented Lagrangian method for video restorationStanley H. Chan, Ramsin Khoshabeh, Kristofor B. Gibson, Philip E. Gill, Truong Q. Nguyen. icassp 2011: 941-944 [doi]

2009

A Subspace Minimization Method for the Trust-Region StepJennifer B. Erway, Philip E. Gill. siamjo, 20(3):1439-1461, 2009. [doi]

Iterative Methods for Finding a Trust-region StepJennifer B. Erway, Philip E. Gill, Joshua D. Griffin. siamjo, 20(2):1110-1131, 2009. [doi]

2008

George B. Dantzig and systems optimizationPhilip E. Gill, Walter Murray, Michael A. Saunders, John A. Tomlin, Margaret H. Wright. disopt, 5(2):151-158, 2008. [doi]

2007

Iterative Solution of Augmented Systems Arising in Interior MethodsAnders Forsgren, Philip E. Gill, Joshua D. Griffin. siamjo, 18(2):666-690, 2007. [doi]

Methods for modifying matrix factorizationsGene H. Golub, Philip E. Gill, Walter Murray, Michael A. Saunders. In Raymond Hon-Fu Chan, Chen Greif, Dianne P. O'Leary, editors, Milestones in Matrix Computation - Selected Works of Gene H. Golub, with Commentaries. pages 309-344, Oxford University Press, 2007.

2005

SNOPT: An SQP Algorithm for Large-Scale Constrained OptimizationPhilip E. Gill, Walter Murray, Michael A. Saunders. siamrev, 47(1):99-131, 2005. [doi]

2004

A primal-dual trust region algorithm for nonlinear optimizationE. Michael Gertz, Philip E. Gill. mp, 100(1):49-94, 2004. [doi]

2003

Limited-Memory Reduced-Hessian Methods for Large-Scale Unconstrained OptimizationPhilip E. Gill, Michael W. Leonard. siamjo, 14(2):380-401, 2003. [doi]

2002

Interior Methods for Nonlinear OptimizationAnders Forsgren, Philip E. Gill, Margaret H. Wright. siamrev, 44(4):525-597, 2002. [doi]

SNOPT: An SQP Algorithm for Large-Scale Constrained OptimizationPhilip E. Gill, Walter Murray, Michael A. Saunders. siamjo, 12(4):979-1006, 2002. [doi]

2001

Reduced-Hessian Quasi-Newton Methods for Unconstrained OptimizationPhilip E. Gill, Michael W. Leonard. siamjo, 12(1):209-237, 2001. [doi]

1998

Primal-Dual Interior Methods for Nonconvex Nonlinear ProgrammingAnders Forsgren, Philip E. Gill. siamjo, 8(4):1132-1152, 1998. [doi]

1996

Stability of Symmetric Ill-Conditioned Systems Arising in Interior Methods for Constrained OptimizationAnders Forsgren, Philip E. Gill, Joseph R. Shinnerl. siammax, 17(1):187-211, 1996. [doi]

On the Stability of Cholesky Factorization for Symmetric Quasidefinite SystemsPhilip E. Gill, Michael A. Saunders, Joseph R. Shinnerl. siammax, 17(1):35-46, 1996. [doi]

1995

Computing Modified Newton Directions Using a Partial Cholesky FactorizationAnders Forsgren, Philip E. Gill, Walter Murray. siamsc, 16(1):139-150, 1995. [doi]

Primal - dual methods for linear programmingPhilip E. Gill, Walter Murray, Dulce B. Ponceleon, Michael A. Saunders. mp, 70:251-277, 1995. [doi]

1992

Preconditioners for Indefinite Systems Arising in OptimizationPhilip E. Gill, Walter Murray, Dulce B. Ponceleón, Michael A. Saunders. siammax, 13(1):292-311, 1992. [doi]

1991

Inertia-Controlling Methods for General Quadratic ProgrammingPhilip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright. siamrev, 33(1):1-36, 1991. [doi]

1989

A practical anti-cycling procedure for linearly constrained optimizationPhilip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright. mp, 45(1-3):437-474, 1989. [doi]

1986

On projected newton barrier methods for linear programming and an equivalence to Karmarkar's projective methodPhilip E. Gill, Walter Murray, Michael A. Saunders, John A. Tomlin, Margaret H. Wright. mp, 36(2):183-209, 1986. [doi]

1985

Properties of a representation of a basis for the null spacePhilip E. Gill, Walter Murray, Michael A. Saunders, G. W. Stewart, Margaret H. Wright. mp, 33(2):172-186, 1985. [doi]

1984

Procedures for optimization problems with a mixture of bounds and general linear constraintsPhilip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright. TOMS, 10(3):282-298, 1984. [doi]

A weighted gram-schmidt method for convex quadratic programmingPhilip E. Gill, Nicholas I. M. Gould, Walter Murray, Michael A. Saunders, Margaret H. Wright. mp, 30(2):176-195, 1984. [doi]

1982

A note on a sufficient-decrease criterion for a non-derivative step-length procedurePhilip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright. mp, 23(1):349-352, 1982. [doi]

1981

Practical optimizationPhilip E. Gill, Walter Murray, Margaret H. Wright. Academic Press, 1981.

1979

The Design and Structure of a Fortran Program Library for OptimizationPhilip E. Gill, Walter Murray, Susan M. Picken, Margaret H. Wright. TOMS, 5(3):259-283, 1979. [doi]

The computation of Lagrange-multiplier estimates for constrained minimizationPhilip E. Gill, Walter Murray. mp, 17(1):32-60, 1979. [doi]

1978

Numerically stable methods for quadratic programmingPhilip E. Gill, Walter Murray. mp, 14(1):349-372, 1978. [doi]

1974

Newton-type methods for unconstrained and linearly constrained optimizationPhilip E. Gill, Walter Murray. mp, 7(1):311-350, 1974. [doi]

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