“R. Tyrrell Rockafellar”的意思、由来-开放百科全书

词条

R. Tyrrell Rockafellar

释义

Prizes
Selected publications
Books Papers
See also
Notes
References
External links

{{BLP sources|date=February 2013}}{{Infobox scientist
|name = Ralph Tyrrell Rockafellar
|image =Rockafellar.jpg
|image_size =
|caption =R. Tyrrell ("Terry") Rockafellar in 1977
|birth_date = {{birth date and age|1935|2|10}}
|birth_place = Milwaukee, Wisconsin
|death_date =
|death_place =
|residence = Washington, U.S.
|nationality = American
|ethnicity =
|fields = Mathematical optimization
|workplaces = University of Washington 1966-
University of Florida (adjunct) 2003-
University of Texas, Austin 1963–1965
|alma_mater = Harvard University
|doctoral_advisor = Garrett Birkhoff
|thesis_title = Convex Functions and Dual Extremum Problems
|thesis_year = 1963
|thesis_url = http://hollis.harvard.edu/?itemid=|library/m/aleph
|academic_advisors =
|notable_students = Peter Wolenski
Francis Clarke
|known_for = Convex analysis
Monotone operator
Calculus of variation
Stochastic programming
Oriented matroid
|influences = Albert W. Tucker
Werner Fenchel
Roger J-B Wets
|influenced = Roger J-B Wets
|awards = Dantzig Prize of SIAM and MPS 1982
von Neumann citation of SIAM 1992
Frederick W. Lanchester Prize of INFORMS 1997-1998
John von Neumann Theory Prize of INFORMS 1999
Doctor Honoris Causa:
Groningen, Montpellier, Chile, Alicante
|signature =
}}Ralph Tyrrell Rockafellar (born February 10, 1935) is an American mathematician and one of the leading scholars 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. He was born in Milwaukee, Wisconsin.^[1]

Prizes

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

Rockafellar and his coauthor Wets">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.^[2]

Selected publications

Books

{{cite book|last=Rockafellar|first=R. Tyrrell|title=Convex analysis|edition=Reprint of the 1979 Princeton mathematical series 28|series=Princeton landmarks in mathematics|publisher=Princeton University Press|location=Princeton, NJ|year=1997|pages=xviii+451|isbn=978-0-691-01586-6 |ref=harv|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.
{{cite book|first1=R. Tyrrell|last1=Rockafellar||first2=Roger J-B|last2=Wets|authorlink2=Roger J-B Wets|title=Variational analysis|publisher=Springer-Verlag|year=2005|isbn=978-3-540-62772-2|ref=harv|accessdate=12 March 2012|origyear=1996|edition=third corrected printing|url=http://www.math.washington.edu/~rtr/papers/VarAnalysis-RockWets.pdf|series=Grundlehren der mathematischen Wissenschaften (Fundamental Principles of Mathematical Sciences)|location=Berlin|pages=xiv+733|volume=317|doi=10.1007/978-3-642-02431-3|mr=1491362}}
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

{{cite journal | last1 = Rockafellar | first1 = R. T. | year = 1970 | title = On the maximal monotonicity of subdifferential mappings | url = | journal = Pacific J. Math. | volume = 33 | issue = | pages = 209–216 | doi=10.2140/pjm.1970.33.209}}
{{cite journal | last1 = Rockafellar | first1 = R. T. | year = 1973 | title = The multiplier method of Hestenes and Powell applied to convex programming | url = | journal = J. Optimization Theory Appl. | volume = 12 | issue = 6| pages = 555–562 | doi=10.1007/bf00934777}}
{{cite journal | last1 = Rockafellar | first1 = R. T. | year = 1974 | title = Augmented Lagrange multiplier functions and duality in nonconvex programming | url = | journal = SIAM J. Control | volume = 12 | issue = 2| pages = 268–285 | doi=10.1137/0312021}}
{{cite journal | last1 = Rockafellar | first1 = R. T. | year = 1976 | title = Augmented Lagrangians and applications of the proximal point algorithm in convex programming | url = | journal = Math. Oper. Res. | volume = 1 | issue = 2| pages = 97–116 | doi=10.1287/moor.1.2.97}}
{{cite journal | last1 = Rockafellar | first1 = R. T. | year = 1993 | title = Lagrange multipliers and optimality | url = | journal = SIAM Rev. | volume = 35 | issue = 2| pages = 183–238 | doi=10.1137/1035044}} (1992 John von Neumann Lecture)
{{cite book

|first=R. T.
|last=Rockafellar
| chapter=The Elementary Vectors of a Subspace of

” (1967)
|pages=104–127
|editor=R. C. Bose and T. A. Dowling
|year=1969
|title=Combinatorial Mathematics and its Applications
|series=The University of North Carolina Monograph Series in Probability and Statistics
|location=Chapel Hill, North Carolina
|publisher=University of North Carolina Press.
|issue=4
|mr=278972
|chapter-url=http://www.math.washington.edu/~rtr/papers/rtr-ElemVectors.pdf|ref=harv
}}

{{cite journal | last1 = Rockafellar | first1 = R. T. | authorlink2 = Roger J-B Wets | last2 = Wets | first2 = Roger J.-B. | year = 1991 | title = Scenarios and policy aggregation in optimization under uncertainty | url = | journal = Math. Oper. Res. | volume = 16 | issue = 1| pages = 119–147 | doi=10.1287/moor.16.1.119}}
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.

Notes

1. ^{{Cite book | url=https://books.google.com/?id=tf09BCmodB0C&q=Ralph+Tyrrell+Rockafellar+1935&dq=Ralph+Tyrrell+Rockafellar+1935 |title = Q - S|isbn = 9780787673987|year = 2005}}
2. ^In the Institute for Scientific Information highly cited researcher list, Rockafellar's author id is "A0071-2003-A".

References

{{cite journal

|first=Karen
|last=Aardal|authorlink=Karen Aardal
|title=Optima interview Roger J.-B. (sic.) Wets
|journal=Optima: Mathematical Programming Society Newsletter
|pages=3–5
|date=July 1995
|url = http://www.mathprog.org/Old-Optima-Issues/optima46.pdf
}}

{{cite journal|url=http://www.mcs.anl.gov/~leyffer/views/15-1.pdf

|title=An Interview with R. Tyrrell Rockafellar|journal=SIAG/Opt News and Views
|volume=15
|issue=1
|year=2004
}}

{{citation|last=Wets|first=Roger J-B|authorlink=Roger J-B Wets|title=Foreword|department=Special Issue on Variational Analysis, Optimization, and their Applications (Festschrift for the 70th Birthday of R. Tyrrell Rockafellar)|editor-first=Roger J-B|editor-last=Wets|journal=Mathematical Programming|date=23 November 2005|pages=203–204

|publisher=Springer Verlag|location=Berlin and Heidelberg|issn=0025-5610|volume=104|issue=2|doi=10.1007/s10107-005-0612-5|ref=harv}}

External links

Homepage of R. Tyrrell Rockafellar at the University of Washington.
{{MathGenealogy|id=28318}}
[https://www.informs.org/content/view/full/271945 Biography of R. Tyrrell Rockafellar] from the Institute of Operations Research and the Management Sciences

{{John von Neumann Lecturers}}{{John von Neumann Theory Prize recipients}}{{Authority control}}{{DEFAULTSORT:Rockafellar, Ralph Tyrrell}}

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