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Leonid Kantorovich

From Wikipedia, the free encyclopedia
Russian mathematician (1912–1986)
Leonid Kantorovich
Леонид Канторович
Kantorovich in 1975
Born
Leonid Vitalyevich Kantorovich

(1912-01-19)19 January 1912
Saint Petersburg, Russian Empire
Died7 April 1986(1986-04-07) (aged 74)
Moscow,Russian SFSR, Soviet Union
Resting placeNovodevichy Cemetery, Moscow
Known forCutting stock problem
Linear programming
Kantorovich inequality
Kantorovich metric
Kantorovich theorem
Kantorovich–Rubinstein metric
Monge–Kantorovich transportation problem
Szász–Mirakjan–Kantorovich operator
Academic background
Alma materLeningrad State University
Doctoral advisorGrigorii Fichtenholz
Vladimir Smirnov
Academic work
DisciplineMathematics
InstitutionsUSSR Academy of Sciences
Leningrad State University
Doctoral studentsSvetlozar Rachev
Gennadii Rubinstein
AwardsNobel Memorial Prize in Economic Sciences (1975)
Stalin Prize (1949)

Leonid Vitalyevich Kantorovich (Russian:Леонид Витальевич Канторович,IPA:[lʲɪɐˈnʲitvʲɪˈtalʲjɪvʲɪtɕkəntɐˈrovʲɪtɕ]; 19 January 1912 – 7 April 1986) was a Sovietmathematician andeconomist, known for his theory and development of techniques for the optimal allocation of resources. He is regarded as the founder oflinear programming. He was the winner of theStalin Prize in 1949 and theNobel Memorial Prize in Economic Sciences in 1975.

Biography

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Kantorovich was born on 19 January 1912, to aRussian Jewish family.[1] His father was a doctor practicing inSaint Petersburg.[2] In 1926, at the age of fourteen, he began his studies atLeningrad State University. He graduated from the Faculty of Mathematics and Mechanics in 1930, and began his graduate studies. In 1934, at the age of 22 years, he became a full professor. In 1935 he received hisdoctoral degree.[3]

Later, Kantorovich worked for theSoviet government. He was given the task ofoptimizing production in aplywood industry. He devised the mathematical technique now known aslinear programming in 1939, some years before it was advanced byGeorge Dantzig. He authored several books includingThe Mathematical Method of Production Planning and Organization (Russian original 1939),The Best Uses of Economic Resources (Russian original 1959), and, with Vladimir Ivanovich Krylov,Approximate methods of higher analysis (Russian original 1936).[4] For his work, Kantorovich was awarded theStalin Prize in 1949.

After 1939, he became a professor atMilitary Engineering-Technical University. During theSiege of Leningrad, Kantorovich was a professor atVITU of Navy and worked on safety of theRoad of Life. He calculated the optimal distance between cars on ice in dependence of the thickness of ice and the temperature of the air. In December 1941 and January 1942, Kantorovich walked himself between cars driving on the ice ofLake Ladoga on the Road of Life to ensure that cars did not sink. However, many cars with food for survivors of the siege were destroyed by theGerman airstrikes. For his feat and courage Kantorovich was awarded theOrder of the Patriotic War, and was decorated with the medalFor Defense of Leningrad.

In 1948 Kantorovich was assigned to the atomic project of the USSR.

After 1960, Kantorovich lived and worked inNovosibirsk, where he created and took charge of the Department of Computational Mathematics inNovosibirsk State University.[5]

TheNobel Memorial Prize, which he shared withTjalling Koopmans, was given "for their contributions to the theory of optimum allocation of resources."

Mathematics

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Inmathematical analysis, Kantorovich had important results infunctional analysis,approximation theory, andoperator theory.

In particular, Kantorovich formulated some fundamental results in the theory ofnormedvector lattices, especially in Dedekind complete vector lattices called "K-spaces" which are now referred to as "Kantorovich spaces" in his honor.

Kantorovich showed thatfunctional analysis could be used in the analysis ofiterative methods, obtaining theKantorovich inequalities on theconvergence rate of thegradient method and ofNewton's method (see theKantorovich theorem).

Kantorovich consideredinfinite-dimensional optimization problems, such as the Kantorovich-Monge problem intransport theory. His analysis proposed theKantorovich–Rubinstein metric, which is used inprobability theory, in the theory of theweak convergence ofprobability measures.

  • Portrait by Petrov-Vodkin, 1938
    Portrait byPetrov-Vodkin, 1938
  • 1976
    1976
  • Original CIA file on Kantorovich, seized from the former US Embassy in Tehran
    Original CIA file on Kantorovich, seized from the former US Embassy in Tehran

See also

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Notes

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  1. ^The Soviet Union: empire, nation, and system, By Aron Kat︠s︡enelinboĭgen, p. 406, Transaction Publishers, 1990
  2. ^Gass, Saul I.; Rosenhead, J. (2011). "Leonid Vital'evich Kantorovich".Profiles in Operations Research. International Series in Operations Research & Management Science. Vol. 147. pp. 157–170.doi:10.1007/978-1-4419-6281-2_10.ISBN 978-1441962805.
  3. ^"The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 1975".NobelPrize.org. Retrieved2025-02-19.
  4. ^Kaplan, W. (1960)."Review ofApproximate methods of higher analysis by L.V. Kantorovich and V.I. Krylov".Bull. Amer. Math. Soc.66 (3):146–147.doi:10.1090/S0002-9904-1960-10408-9.
  5. ^Kantorovich`s biography in Russian

References

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Nobel prize lecture

Further reading

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External links

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Wikiquote has quotations related toLeonid Kantorovich.
Awards
Preceded byLaureate of the Nobel Memorial Prize in Economics
1975
Served alongside:Tjalling C. Koopmans
Succeeded by
1969–1975
1976–2000
2001–present
1975Nobel Prize laureates
Chemistry
Literature (1975)
Peace
Physics
Physiology or Medicine
Economic Sciences
International
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