World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
58
Citations
20707
World Ranking
619
National Ranking
312

Engineering and Technology

D-Index
59
Citations
28529
World Ranking
2273
National Ranking
707

Research.com Recognitions

  • 2014 - SIAM Fellow For contributions to numerical optimization, linear algebra, and software.

Overview

Philip E. Gill is affiliated with the University of California, San Diego in the United States. Their research spans multiple areas within computer science and mathematics, focusing predominantly on optimization methods and numerical analysis.

The scientist's recent published works include:

  • A Shifted Primal-Dual Penalty-Barrier Method for Nonlinear Optimization, 2020, SIAM Journal on Optimization
  • A Probabilistic Path Planning Framework for Optimizing Feasible Trajectories of Autonomous Search Vehicles Leveraging the Projected-Search Reduced Hessian Method, 2020, AIAA Scitech 2020 Forum
  • A class of projected-search methods for bound-constrained optimization, 2023, Optimization methods & software
  • A projected-search interior-point method for nonlinearly constrained optimization, 2024, Computational Optimization and Applications
  • Projected-Search Methods for Bound-Constrained Optimization, 2021, arXiv (Cornell University)

Their frequent co-authors include Walter Murray, Margaret H. Wright, Minxin Zhang, Michael W. Ferry, and Elizabeth Wong.

Philip E. Gill has published multiple papers in known venues such as:

  • arXiv (Cornell University)
  • SIAM Journal on Optimization
  • Computational Optimization and Applications
  • Optimization methods & software
  • AIAA Scitech 2020 Forum

Their main fields of study are:

  • Computer Science
  • Mathematics

Within these fields, the primary subfields of study are:

  • Computational Theory and Mathematics
  • Numerical Analysis
  • Control and Systems Engineering
  • Computer Vision and Pattern Recognition
  • Aerospace Engineering

Philip E. Gill's research covers several key topics including:

  • Advanced Optimization Algorithms Research
  • Matrix Theory and Algorithms
  • Numerical Methods and Algorithms
  • Optimization and Variational Analysis
  • Advanced Control Systems Optimization
  • Iterative Methods for Nonlinear Equations
  • Advanced Multi-Objective Optimization Algorithms

In addition, Philip E. Gill has contributed a book titled Numerical Linear Algebra and Optimization, published in 2021 by the Society for Industrial and Applied Mathematics, which has received citations.

They received the SIAM Fellow award in 2014 for contributions to numerical optimization, linear algebra, and software.

Best Publications

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

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

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

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

  • Interior Methods for Nonlinear Optimization

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

  • Numerical Linear Algebra and Optimization

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

  • Algorithms for the Solution of the Nonlinear Least-Squares Problem

    Philip E. Gill;Walter Murray

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

    Philip E. Gill;Walter Murray;Michael A. Saunders;J. A. Tomlin

  • User's Guide for NPSOL (Version 4.0): A Fortran Package for Nonlinear Programming.

    Philip E Gill;Walter Murray;Michael A Saunders;Margaret H Wright

  • An Augmented Lagrangian Method for Total Variation Video Restoration

    S. H. Chan;R. Khoshabeh;K. B. Gibson;P. E. Gill

  • Newton-type methods for unconstrained and linearly constrained optimization

    Philip E. Gill;Walter Murray

  • Quasi-Newton Methods for Unconstrained Optimization

    P. E. Gill;W. Murray

  • Numerical methods for constrained optimization

    Philip E. Gill;William Allan Murray

  • Aquifer Reclamation Design: The Use of Contaminant Transport Simulation Combined With Nonlinear Programing

    Steven M. Gorelick;Clifford I. Voss;Philip E. Gill;Walter Murray

  • User's Guide for SOL/NPSOL: A Fortran Package for Nonlinear Programming.

    Philip E Gill;Walter Murray;Michael A Saunders;Margaret H Wright

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

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

  • USER’S GUIDE FOR SNOPT 5.3: A FORTRAN PACKAGE FOR LARGE-SCALE NONLINEAR PROGRAMMING

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

  • Numerically stable methods for quadratic programming

    Philip E. Gill;Walter Murray

  • Primal-Dual Interior Methods for Nonconvex Nonlinear Programming

    Anders Forsgren;Philip E. Gill

  • Sequential Quadratic Programming Methods

    Philip E. Gill;Elizabeth Wong

  • Algebraic tensegrity form-finding

    Milenko Masic;Robert E. Skelton;Philip E. Gill

  • Preconditioners for indefinite systems arising in optimization

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

  • Methods for modifying matrix factorizations.

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

Frequent Co-Authors

Walter Murray
Walter Murray Stanford University
Michael A. Saunders
Michael A. Saunders Stanford University
Margaret H. Wright
Margaret H. Wright New York University
Nicholas I. M. Gould
Nicholas I. M. Gould University of Oxford
Truong Q. Nguyen
Truong Q. Nguyen University of California, San Diego
Randolph E. Bank
Randolph E. Bank University of California, San Diego
Linda R. Petzold
Linda R. Petzold University of California, Santa Barbara
Robert E. Skelton
Robert E. Skelton Texas A&M University
Steven Constable
Steven Constable University of California, San Diego
Clifford I. Voss
Clifford I. Voss United States Geological Survey

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