Philip Wolfe

13.8k total citations · 5 hit papers
48 papers, 8.5k citations indexed

About

Philip Wolfe is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Industrial and Manufacturing Engineering. According to data from OpenAlex, Philip Wolfe has authored 48 papers receiving a total of 8.5k indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Numerical Analysis, 10 papers in Computational Theory and Mathematics and 6 papers in Industrial and Manufacturing Engineering. Recurrent topics in Philip Wolfe's work include Advanced Optimization Algorithms Research (24 papers), Optimization and Variational Analysis (5 papers) and Optimization and Packing Problems (5 papers). Philip Wolfe is often cited by papers focused on Advanced Optimization Algorithms Research (24 papers), Optimization and Variational Analysis (5 papers) and Optimization and Packing Problems (5 papers). Philip Wolfe collaborates with scholars based in United States, Poland and Germany. Philip Wolfe's co-authors include George B. Dantzig, Harlan Crowder, Michael Held, S. Vajda, William J. Baumöl, Robert L. Graves, S. Winograd, Richard P. Brent, Alan J. Hoffman and E. L. Johnson and has published in prestigious journals such as Science, Journal of the American Statistical Association and Econometrica.

In The Last Decade

Philip Wolfe

45 papers receiving 7.4k citations

Hit Papers

An algorithm for quadratic programming 1955 2026 1978 2002 1956 1960 1974 1969 1955 500 1000 1.5k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. An algorithm for quadratic programming
    1956 1.8k citations Philip Wolfe et al. Naval Research Logistics Quarterly profile →
  2. Decomposition Principle for Linear Programs
    1960 1.4k citations George B. Dantzig, Philip Wolfe Operations Research profile →
  3. Validation of subgradient optimization
    1974 1.0k citations Michael Held, Philip Wolfe et al. Mathematical Programming profile →
  4. Convergence Conditions for Ascent Methods
    1969 704 citations Philip Wolfe SIAM Review profile →
  5. The generalized simplex method for minimizing a linear form under linear inequality restraints
    1955 354 citations George B. Dantzig, Philip Wolfe et al. Pacific Journal of Mathematics profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Philip Wolfe United States 22 2.3k 2.3k 1.7k 1.7k 1000 48 8.5k
Roger J.‐B. Wets United States 45 2.2k 1.0× 3.9k 1.7× 2.3k 1.3× 586 0.3× 478 0.5× 151 10.5k
Willard I. Zangwill United States 24 1.0k 0.4× 1.2k 0.5× 775 0.4× 978 0.6× 346 0.3× 40 4.5k
E. Polak United States 41 3.1k 1.4× 3.3k 1.5× 2.6k 1.5× 236 0.1× 238 0.2× 210 9.3k
Hanif D. Sherali United States 59 2.0k 0.9× 2.2k 1.0× 2.2k 1.2× 3.2k 1.9× 1.1k 1.1× 360 13.0k
Alexander Schrijver Netherlands 39 1.3k 0.6× 6.2k 2.8× 636 0.4× 1.9k 1.1× 346 0.3× 152 12.1k
Aharon Ben‐Tal Israel 48 2.5k 1.1× 3.4k 1.5× 4.7k 2.7× 1.4k 0.8× 573 0.6× 130 17.5k
Garth P. McCormick United States 23 2.2k 1.0× 2.1k 0.9× 1.6k 0.9× 299 0.2× 149 0.1× 47 5.4k
Pãnos M. Pardalos United States 54 3.5k 1.5× 5.0k 2.2× 2.4k 1.4× 1.5k 0.9× 295 0.3× 412 14.2k
Nimrod Megiddo United States 43 1.2k 0.5× 2.7k 1.2× 405 0.2× 1000 0.6× 170 0.2× 150 8.5k
Katta G. Murty United States 25 818 0.4× 1.1k 0.5× 650 0.4× 1.7k 1.0× 255 0.3× 78 4.3k

Countries citing papers authored by Philip Wolfe

Since Specialization
Citations

This map shows the geographic impact of Philip Wolfe'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 Wolfe with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Philip Wolfe more than expected).

Fields of papers citing papers by Philip Wolfe

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Philip Wolfe. 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 Wolfe. The network helps show where Philip Wolfe may publish in the future.

Co-authorship network of co-authors of Philip Wolfe

This figure shows the co-authorship network connecting the top 25 collaborators of Philip Wolfe. A scholar is included among the top collaborators of Philip Wolfe based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Philip Wolfe. Philip Wolfe is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Wolfe, Philip. (2018). The Solar Generation. 5 indexed citations
2.
Hoffman, Alan J., et al.. (1995). A note on almost regular matrices. Linear Algebra and its Applications. 226-228. 105–108. 6 indexed citations
3.
Wolfe, Philip. (1982). Checking the Calculation of Gradients. ACM Transactions on Mathematical Software. 8(4). 337–343. 20 indexed citations
4.
Held, Michael, Philip Wolfe, & Harlan Crowder. (1974). Validation of subgradient optimization. Mathematical Programming. 6(1). 62–88. 1018 indexed citations breakdown →
5.
Wolfe, Philip. (1973). Conjugate gradient methods in optimization. 414–415. 4 indexed citations
6.
Held, Michael, Richard M. Karp, & Philip Wolfe. (1972). Large scale optimization and the relaxation method. 1 indexed citations
7.
Wolfe, Philip. (1972). On the Convergence of Gradient Methods under Constraint. IBM Journal of Research and Development. 16(4). 407–411. 40 indexed citations
8.
Wolfe, Philip. (1971). Convergence Conditions for Ascent Methods. II: Some Corrections. SIAM Review. 13(2). 185–188. 342 indexed citations
9.
Pritsker, A. Alan B., et al.. (1968). Mathematical Formulation: A Problem in Design. 3 indexed citations
10.
Wolfe, Philip. (1965). The Composite Simplex Algorithm. SIAM Review. 7(1). 42–54. 42 indexed citations
11.
Vajda, S., et al.. (1964). Recent Advances in Mathematical Programming. OR. 15(1). 48–48. 252 indexed citations
12.
Dantzig, George B. & Philip Wolfe. (1962). Linear programming in a Markov chain: notes on linear programming and extensions-part 59.. Journal of Pharmacobio-Dynamics. 8(7). 557–63. 1 indexed citations
13.
Wolfe, Philip & George B. Dantzig. (1962). Linear Programming in a Markov Chain. Operations Research. 10(5). 702–710. 63 indexed citations
14.
Wolfe, Philip. (1962). New Methods in Mathematical Programming—Some Simplex-Like Nonlinear Programming Procedures. Operations Research. 10(4). 438–447. 2 indexed citations
15.
Wolfe, Philip. (1961). SOME SIMPLEX-LIKE NONLINEAR PROGRAMMING PROCEDURES,. Defense Technical Information Center (DTIC). 4 indexed citations
16.
Wolfe, Philip. (1958). Nonlinear programming computations.
17.
Wolfe, Philip. (1958). Nonlinear programming computations. 1–1.
18.
Wolfe, Philip, et al.. (1956). An algorithm for quadratic programming. Naval Research Logistics Quarterly. 3(1-2). 95–110. 1759 indexed citations breakdown →
19.
Dantzig, George B., et al.. (1955). The generalized simplex method for minimizing a linear form under linear inequality restraints. Pacific Journal of Mathematics. 5(2). 183–195. 354 indexed citations breakdown →
20.
Dantzig, George B., et al.. (1954). Notes on Linear Programming: Part 1. The Generalized Simplex Method for Minimizing a Linear Form under Linear Inequality Restraints. 20 indexed citations

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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