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R Tyrrell Rockafellar

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Citizenship
  
United States

Alma mater
  
Harvard University

Name
  
R. Rockafellar

Fields
  
Mathematical optimization

Nationality
  
United States

Doctoral advisor
  
Garrett Birkhoff

Residence
  
Washington, United States

R. Tyrrell Rockafellar wwwmathwashingtonedurtrrtrjpg
Institutions
  
University of Washington 1966- University of Florida (adjunct) 2003- University of Texas, Austin 1963–1965

Thesis
  
Convex Functions and Dual Extremum Problems (1963)

Education
  
Stockholm University, Harvard University

Influenced
  
Albert W. Tucker, Werner Fenchel, Roger J-B Wets

Books
  
Implicit Functions and Solut, Convex Analysis, Variational analysis, Conjugate Duality and Optimization, Network Flows and Monotrop

R. Tyrrell Rockafellar


Ralph Tyrrell Rockafellar (born 1935) is one of the world's leaders in optimization theory and related fields of analysis and combinatorics. He is professor emeritus at the departments of mathematics and applied mathematics at the University of Washington, Seattle.

Contents

Prizes

Rockafellar received the John von Neumann Theory Prize from the Institute for Operations Research and Management Science and delivered the 1993 von Neumann lecture for the Society for Industrial and Applied Mathematics (SIAM).

Rockafellar and his coauthor Roger J-B Wets were awarded the Frederick W. Lanchester Prize for 1997 by Institute for Operations Research and the Management Sciences (INFORMS).

The Institute for Scientific Information (ISI) lists Rockafellar as a highly cited researcher.

Books

  • Rockafellar, R. Tyrrell (1997). Convex analysis. Princeton landmarks in mathematics (Reprint of the 1979 Princeton mathematical series 28 ed.). Princeton, NJ: Princeton University Press. pp. xviii+451. ISBN 0-691-01586-4. MR 1451876. 
  • Rockafellar, R. Tyrrell. Conjugate duality and optimization. Lectures given at the Johns Hopkins University, Baltimore, Md., June, 1973. Conference Board of the Mathematical Sciences Regional Conference Series in Applied Mathematics, No. 16. Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1974. vi+74 pp.
  • Rockafellar, Ralph T. The theory of subgradients and its applications to problems of optimization. Convex and nonconvex functions. Heldermann Verlag, Berlin, 1981. vii+107 pp. ISBN 3-88538-201-6
  • R. T. Rockafellar. 1984. Network Flows and Monotropic Optimization. Wiley.
  • Rockafellar, R. Tyrrell; Wets, Roger J-B (2005) [1996]. Variational analysis (PDF). Grundlehren der mathematischen Wissenschaften (Fundamental Principles of Mathematical Sciences) 317 (third corrected printing ed.). Berlin: Springer-Verlag. pp. xiv+733. doi:10.1007/978-3-642-02431-3. ISBN 978-3-540-62772-2. MR 1491362. Retrieved 12 March 2012. 
  • Dontchev, Asen L. and Rockafellar, R. Tyrrell. Implicit functions and solution mappings. A view from variational analysis. Springer Monographs in Mathematics. Springer, Dordrecht, 2009. xii+375 pp. ISBN 978-0-387-87820-1.
  • Papers

  • Rockafellar, R. T. On the maximal monotonicity of subdifferential mappings. Pacific J. Math. 33 1970 209—216.
  • Rockafellar, R. T. The multiplier method of Hestenes and Powell applied to convex programming. J. Optimization Theory Appl. 12 (1973), 555—562.
  • Rockafellar, R. Tyrrell Augmented Lagrange multiplier functions and duality in nonconvex programming. SIAM J. Control 12 (1974), 268—285.
  • Rockafellar, R. T. Augmented Lagrangians and applications of the proximal point algorithm in convex programming. Math. Oper. Res. 1 (1976), no. 2, 97—116.
  • Rockafellar, R. Tyrrell. Lagrange multipliers and optimality. SIAM Rev. 35 (1993), no. 2, 183—238. (1992 John von Neumann Lecture)
  • Rockafellar, R. T. (1969). "The Elementary Vectors of a Subspace of ” (1967)". In R. C. Bose and T. A. Dowling. Combinatorial Mathematics and its Applications (PDF). The University of North Carolina Monograph Series in Probability and Statistics. Chapel Hill, North Carolina: University of North Carolina Press. pp. 104–127. MR 278972. 
  • Rockafellar, R. T. and Wets, Roger J.-B.. "Scenarios and policy aggregation in optimization under uncertainty". Math. Oper. Res. 16 (1991), no. 1, 119—147.
  • Rockafellar, R. Tyrrell Monotone processes of convex and concave type. Memoirs of the American Mathematical Society, No. 77 American Mathematical Society, Providence, R.I. 1967 i+74 pp.
  • References

    R. Tyrrell Rockafellar Wikipedia