Lev M. Bregman (; 1941–2023) was a

Soviet The Union of Soviet Socialist Republics. (USSR), commonly known as the Soviet Union, was a List of former transcontinental countries#Since 1700, transcontinental country that spanned much of Eurasia from 1922 until Dissolution of the Soviet ...

and

Israel Israel, officially the State of Israel, is a country in West Asia. It Borders of Israel, shares borders with Lebanon to the north, Syria to the north-east, Jordan to the east, Egypt to the south-west, and the Mediterranean Sea to the west. Isr ...

i mathematician, most known for the

Bregman divergence In mathematics, specifically statistics and information geometry, a Bregman divergence or Bregman distance is a measure of difference between two points, defined in terms of a strictly convex function; they form an important class of divergences. ...

named after him. Bregman received his M. Sc. in mathematics in 1963 at

Leningrad University Saint Petersburg State University (SPBGU; ) is a public university, public research university in Saint Petersburg, Russia, and one of the oldest and most prestigious universities in Russia. Founded in 1724 by a decree of Peter the Great, the uni ...

and his Ph.D. in mathematics in 1966 at the same institution, under the direction of his advisor Prof. J. V. Romanovsky, for his thesis about relaxation methods for finding a common point of convex sets, which led to one of his most well-known publications.Brègman, L. M. A relaxation method of finding a common point of convex sets and its application to the solution of problems in convex programming. (Russian) Ž. Vyčisl. Mat. i Mat. Fiz. 7 1967 620–631. MR215617 (35 #6457) 90.60 (65.00) Bregman's Theorem, proving a 1963 conjecture of Henryk Minc, gives an upper bound on the permanent of a

0-1 matrix A logical matrix, binary matrix, relation matrix, Boolean matrix, or (0, 1)-matrix is a matrix with entries from the Boolean domain Such a matrix can be used to represent a binary relation between a pair of finite sets. It is an important tool in ...

. Bregman was employed at the Institute for Industrial Mathematics, Beer-Sheva, Israel, after having spent one year at

Ben-Gurion University of the Negev Ben-Gurion University of the Negev (BGU) (, ''Universitat Ben-Guriyon baNegev'') is a public university, public research university in Beersheba, Israel. Named after Israeli List of national founders, national founder David Ben-Gurion, the unive ...

, Beer-Sheva. Formerly, from 1966 through 1991, he was senior researcher at the Leningrad University. Bregman is author of several textbooks and dozens of publications in international journals.

References

External links

Homepage of Lev M. Bregman
at the Institute for Industrial Mathematics, Beer-Sheva, Israel

1941 births Mathematicians from Saint Petersburg Israeli mathematicians Living people Saint Petersburg State University alumni {{mathematician-stub