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Leonid Kantorovich

Leonid Kantorovich

Russian mathematician
The basics
Quick Facts
Intro Russian mathematician
Countries Soviet Union Russian Empire
Occupations Mathematician Economist University teacher Scientist
A.K.A. Leonid Kantorovich
Gender male
Birth January 19, 1912 (Saint Petersburg)
Death April 7, 1986 (Moscow)
Residence Saint Petersburg
Education Faculté de physique et de mathématiques de l’Université de Saint-Pétersbourg
Leonid Kantorovich
The details
Biography

Leonid Vitaliyevich Kantorovich (Russian: Леони́д Вита́льевич Канторо́вич, IPA: [lʲɪɐˈnʲit vʲɪˈtalʲɪvʲɪtɕ kəntɐˈrovʲɪtɕ] ( listen)) (19 January 1912 – 7 April 1986) was a Soviet mathematician and economist, known for his theory and development of techniques for the optimal allocation of resources. He is regarded as the founder of linear programming. He was the winner of the Stalin Prize in 1949 and the Nobel Memorial Prize in Economic Sciences in 1975.

Biography

Kantorovich was born on 19 January 1912, to a Russian Jewish family. His father was a doctor practicing in Saint Petersburg. In 1926, at the age of fourteen, he began his studies at the Leningrad University. He graduated from the Faculty of Mathematics in 1930, and began his graduate studies. In 1934, at the age of 22 years, he became a full professor.

Later, Kantorovich worked for the Soviet government. He was given the task of optimizing production in a plywood industry. He came up with the mathematical technique now known as linear programming in 1939, some years before it was advanced by George Dantzig. He authored several books including The 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). For his work, Kantorovich was awarded the Stalin Prize in 1949.

After 1939, he became the professor of Military engineering-technical university. During the Siege of Leningrad, Kantorovich was the professor of VITU of Navy and in charge of safety on the Road of Life. He calculated the optimal distance between cars on ice, depending on thickness of ice and temperature of the air. In December 1941 and January 1942, Kantorovich personally walked between cars driving on the ice of Lake Ladoga, on the Road of Life, to ensure the cars did not sink. However, many cars with food for survivors of the siege were destroyed by the German air-bombings. In 1948 Kantorovich was assigned to the atomic project of the USSR. For his feat and courage Kantorovich was awarded the Order of the Patriotic War, and was decorated with the medal For Defense of Leningrad.

Medal Defense of Leningrad.jpg

After 1960, Kantorovich lived and worked in Novosibirsk, where he created and took charge of the Department of Computational Mathematics in Novosibirsk State University.

The Nobel Memorial Prize, which he shared with Tjalling Koopmans, was given "for their contributions to the theory of optimum allocation of resources."

Mathematics

In mathematical analysis, Kantorovich had important results in functional analysis, approximation theory, and operator theory.

In particular, Kantorovich formulated fundamental results in the theory of normed vector lattices, which are called "K-spaces" in his honor.

Kantorovich showed that functional analysis could be used in the analysis of iterative methods, obtaining the Kantorovich inequalities on the convergence rate of the gradient method and of Newton's method (see the Kantorovich theorem).

Kantorovich considered infinite-dimensional optimization problems, such as the Kantorovich-Monge problem in transportation theory. His analysis proposed the Kantorovich metric, which is used in probability theory, in the theory of the weak convergence of probability measures.

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References
http://doi.org/10.1007%2F978-1-4419-6281-2_10
http://doi.org/10.1007%2Fs101070100258
http://doi.org/10.1090%2FS0002-9904-1960-10408-9
http://www.ams.org/mathscinet-getitem?mr=0898626
http://www.ams.org/mathscinet-getitem?mr=1082562
http://www.ams.org/mathscinet-getitem?mr=1082564
http://www.ams.org/mathscinet-getitem?mr=1888984
http://www.jstor.org/stable/2627082
http://data.bnf.fr/ark:/12148/cb13191973j
http://eurodos.free.fr/docu/econ/Kantorovich1939.zip
http://isni.org/isni/0000000110684328
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