Philip E. Gill

16.3k citations
86 papers · 9.2k indexed · 5 hit papers · h-index 40

Philip E. Gill

83 papers receiving 8.2k citations

Hit Papers

Practical Optimization230200220262010201850010001.5k

Peers

Philip E. Gill
Comparison fields: 5 of 187
  • Numerical Analysis 2.4k
  • Computational Theory and Mathematics 2.4k
  • Control and Systems Engineering 1.9k
  • Computational Mathematics 43
  • Architecture 109
Replace Walter Murray with:
Walter Murray United States
Gilbert Strang United States
E. Polak United States
J. E. Dennis United States
C Moler United States
Layne T. Watson United States
Andrew R. Conn United States
Qiang Du United States
Andreas Griewank Germany
Max Gunzburger United States
Philip E. Gill relative to Walter Murray United States Walter Murray's profile →
Citations per field
00.5×9.9×
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-authorship network

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
#Work
1 20232
2 201116
3 200833
4 20077
5 200735
6 200560
7
Trust-search algorithms for unconstrained optimization
20041
8
USER’S GUIDE FOR SNOPT 5.3: A FORTRAN PACKAGE FOR LARGE-SCALE NONLINEAR PROGRAMMING
2002143
9 200045
10
Combination trust-region line-search methods for unconstrained optimization
199920
11
Constrained nonlinear programming
198929
12 19887
13 198761
14
NPSOL (Version 4.0): A Fortran Package for Nonlinear Programming. User's Guide.
19862
15
A Note on Nonlinear Approaches to Linear Programming.
19862
16 1986259
17
Computing Finite-Difference Approximations to Derivatives for Numerical Optimization.
19807
18 197474
19
Numerical methods for constrained optimization
1974321
20 197350

About Philip E. Gill

Philip E. Gill is a scholar working on Numerical Analysis, Computational Mathematics, Computational Theory and Mathematics, Architecture and Control and Systems Engineering, having authored 86 papers that have together received 9.2k indexed citations. Recurring topics across this work include Advanced Optimization Algorithms Research (62 papers), Matrix Theory and Algorithms (22 papers), Advanced Control Systems Optimization (21 papers), Iterative Methods for Nonlinear Equations (15 papers), Optimization and Variational Analysis (14 papers), Numerical Methods and Algorithms (10 papers), Sparse and Compressive Sensing Techniques (8 papers) and Spacecraft Dynamics and Control (6 papers). The work is most often cited by research in Numerical Analysis (2.4k citations), Computational Theory and Mathematics (2.4k citations), Control and Systems Engineering (1.9k citations), Computational Mathematics (43 citations) and Architecture (109 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 Forsgren, Gene H. Golub, Kristofor B. Gibson, Ramsin Khoshabeh, Truong Q. Nguyen, Stanley H. Chan and Daniel P. Robinson. 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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