| Leonid Kantorovich | |
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Leonid Kantorovich in 1975
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| Born | 19 January 1912 Saint Petersburg, Russian Empire |
| Died | 7 April 1986 (aged 74) Moscow, Russia, USSR |
| Nationality | Soviet |
| Fields | Mathematics |
| Alma mater | Leningrad State University |
| Known for | Linear programming Kantorovich theorem normed vector lattice (Kantorovich space) Kantorovich metric Kantorovich inequality approximation theory iterative methods functional analysis numerical analysis scientific computing |
| Notable awards | Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel (1975) |
Leonid Vitaliyevich Kantorovich (Russian: Леони́д Вита́льевич Канторо́вич) (19 January 1912, Saint Petersburg – 7 April 1986, Moscow) was a Soviet mathematician and economist, known for his theory and development of techniques for the optimal allocation of resources. He was the winner of the Nobel Prize in Economics in 1975 and the only winner of this prize from the USSR.
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Kantorovich was born on 19 January, 1912, to a Russian Jewish family.[1] His father was a doctor practicing in Saint Petersburg.
Kantorovich worked for the Soviet government. He was given the task of optimizing production in a plywood industry. He came up (1939) with the mathematical technique now known as linear programming, some years before it was reinvented and much advanced by George Dantzig. He authored several books including The Mathematical Method of Production Planning and Organization and The Best Uses of Economic Resources. For his work, Kantorovich was awarded the Stalin Prize in 1949.
After 1939, he became the professor of Military engineering-technical university (Russian: Военный инженерно-технический университет). 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.
For his feat and courage Kantorovich was awarded the Order of the Patriotic War, and was decorated with the medal For Defense of Leningrad.
The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel, which he shared with Tjalling Koopmans, was given "for their contributions to the theory of optimal allocation of resources."
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.
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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