Philip E. Gill

16.6k citations
105 papers · 10.7k · 5 hit papers · h-index 42

Impact in

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

Papers in

Philip E. Gill

102 papers receiving 9.7k citations

Philip E. Gill's Hit Papers

Practical Optimization 2019 · 272 citations
2720+8+16Years since publication50010001.5k2.0k

Peers

Philip E. Gill
Comparison fields: 5 of 188
  • Numerical Analysis 2.9k
  • Computational Theory and Mathematics 2.9k
  • Control and Systems Engineering 2.3k
  • Computational Mathematics 49
  • Computational Mechanics 1.6k
Replace Walter Murray with:
Walter Murray United States
Stephen James Wright United Kingdom
John E. Dennis United States
Elijah Polak United States
Gilbert Strang United States
Layne T. Watson United States
C Moler United States
William W. Hager United States
Andrew R. Conn United States
Andreas Griewank Germany
Philip E. Gill relative to Walter Murray United States Walter Murray's profile →
Citations per field
00.5×1.6×
Walter Murray · 1×
Citations per year

Countries citing papers authored by Philip E. Gill

Since Specialization
Citations

This map shows the geographic impact of Philip E. Gill's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Philip E. Gill with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Philip E. Gill more than expected).

Fields of papers citing papers by Philip E. Gill

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Philip E. Gill. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Philip E. Gill. The network helps show where Philip E. Gill may publish in the future.

Co-authors

The 25 scholars most cited alongside Philip E. Gill, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Philip E. Gill Line = papers co-authored together Philip E. Gill links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 105 papers — load more, or switch the sort, to bring in the rest.

#Work
1
SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
Hit paper breakdown →
20052119
2
SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
Hit paper breakdown →
20021322
3
Interior Methods for Nonlinear Optimization
Hit paper breakdown →
2002505
4 1974462
5 1978445
6
An Augmented Lagrangian Method for Total Variation Video Restoration
Hit paper breakdown →
2011378
7
Numerical methods for constrained optimization
1974364
8 1986311
9 1972278
10
Practical Optimization
Hit paper breakdown →
2019272
11 1974263
12 1984242
13
User's Guide for SOL/NPSOL: A Fortran Package for Nonlinear Programming.
1983203
14 1984172
15 2011160
16
USER’S GUIDE FOR SNOPT 5.3: A FORTRAN PACKAGE FOR LARGE-SCALE NONLINEAR PROGRAMMING
2002153
17 1978144
18 2005136
19 1998135
20 1998107

About Philip E. Gill

Philip E. Gill is a scholar working on Numerical Analysis, Computational Theory and Mathematics, Control and Systems Engineering, Computational Mechanics and Aerospace Engineering, having authored 105 papers that have together received 10.7k indexed citations. Recurring topics across this work include Advanced Optimization Algorithms Research (74 papers), Advanced Control Systems Optimization (26 papers), Matrix Theory and Algorithms (25 papers), Optimization and Variational Analysis (18 papers), Iterative Methods for Nonlinear Equations (16 papers), Numerical Methods and Algorithms (12 papers), Spacecraft Dynamics and Control (8 papers) and Sparse and Compressive Sensing Techniques (8 papers). The work is most often cited by research in Numerical Analysis (2.9k citations), Computational Theory and Mathematics (2.9k citations), Control and Systems Engineering (2.3k citations), Computational Mathematics (49 citations) and Computational Mechanics (1.6k citations). Philip E. Gill has collaborated with scholars based in United States, United Kingdom and Sweden. Frequent co-authors include Walter Murray, Michael A. Saunders, Margaret H. Wright, Anders L. Forsgren, Elizabeth Wong, Gene Howard Golub, Daniel P. Robinson, Truong Q. Nguyen, Kristofor B. Gibson and Ramsin Khoshabeh. Their work appears in journals such as Mathematical Programming, SIAM Journal on Optimization, SIAM Journal on Matrix Analysis and Applications, Mathematics of Computation and SIAM Review.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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