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Philip Wolfe | |
|---|---|
| Born | August 11, 1927 |
| Died | December 29, 2016 (aged 89)[1] Ossining, New York, U.S. |
| Alma mater | University of California, Berkeley |
| Scientific career | |
| Thesis | I.Games of Infinite Length; II.A Nondegenerate Formulation and Simplex Solution of Linear Programming Problems (1954) |
| Doctoral advisor | Edward William Barankin |
Philip Starr "Phil" Wolfe (August 11, 1927 – December 29, 2016) was an American mathematician and one of the founders of convex optimization theory and mathematical programming.
Life
[edit]Wolfe received his bachelor's degree, masters, and Ph.D. degrees from the University of California, Berkeley.[2] He and his wife, Hallie, lived in Ossining, New York.[1]
Career
[edit]In 1954, he was offered an instructorship at Princeton, where he worked on generalizations of linear programming, such as quadratic programming and general non-linear programming, leading to the Frank–Wolfe algorithm[3] in joint work with Marguerite Frank, then a visitor at Princeton. When Maurice Sion was on sabbatical at the Institute for Advanced Study, Sion and Wolfe published in 1957 an example of a zero-sum game without a minimax value.[4] Wolfe joined RAND corporation in 1957, where he worked with George Dantzig, resulting in the now well known Dantzig–Wolfe decomposition method.[5] In 1965, he moved to IBM's Thomas J. Watson Research Center in Yorktown Heights, New York.
Honors and awards
[edit]He received the John von Neumann Theory Prize in 1992, jointly with Alan Hoffman.
Selected publications
[edit]- Dantzig, George B.; Wolfe, Philip (February 1960). "Decomposition Principle for Linear Programs". Operations Research. 8 (1): 101–111. doi:10.1287/opre.8.1.101.
- Frank, M.; Wolfe, P. (1956). "An algorithm for quadratic programming". Naval Research Logistics Quarterly. 3 (1–2): 95–110. doi:10.1002/nav.3800030109.
- Held, M.; Wolfe, P.; Crowder, H. P. (1974). "Validation of subgradient optimization". Mathematical Programming. 6: 62–88. doi:10.1007/BF01580223. S2CID 206797746.
- Wolfe, P. (1959). "The Simplex Method for Quadratic Programming". Econometrica. 27 (3): 382–398. doi:10.2307/1909468. JSTOR 1909468.
References
[edit]- ^ a b Reif, Carol (January 3, 2017). "Obituaries: Philip S. Wolfe, Mathematician, of Ossining, 89". Ossining Daily Voice. Retrieved January 4, 2017.
- ^ Hoffman, A. J. (2011). "Philip Starr Wolfe". Profiles in Operations Research. International Series in Operations Research & Management Science. Vol. 147. pp. 627–642. doi:10.1007/978-1-4419-6281-2_34. ISBN 978-1-4419-6280-5.
- ^ Frank, Marguerite; Wolfe, Philip (March 1956). "An algorithm for quadratic programming". Naval Research Logistics Quarterly. 3 (1–2): 95–110. doi:10.1002/nav.3800030109.
- ^ Sion, Maurice; Wolfe, Phillip (1957), "On a game without a value", in Dresher, M.; Tucker, A. W.; Wolfe, P. (eds.), Contributions to the Theory of Games III, Annals of Mathematics Studies 39, Princeton University Press, pp. 299–306, ISBN 9780691079363
- ^ Pearce, Jeremy (May 23, 2005). "George B. Dantzig Dies at 90; Devised Math Solution to Broad Problems". The New York Times. Retrieved December 13, 2013.
External Information
[edit]- INFORMS: Biography of Philip Wolfe from the Institute for Operations Research and the management Sciences
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