James Milton Renegar Jr. (born May 14, 1955) is an American mathematician, specializing in optimization algorithms for
linear programming
Linear programming (LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements and objective are represented by linear function#As a polynomia ...
and
nonlinear programming
In mathematics, nonlinear programming (NLP) is the process of solving an optimization problem where some of the constraints are not linear equalities or the objective function is not a linear function. An optimization problem is one of calculation ...
.
Biography
In 1983 he received his Ph.D. in mathematics from the
University of California, Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California), is a Public university, public Land-grant university, land-grant research university in Berkeley, California, United States. Founded in 1868 and named after t ...
. His Ph.D. thesis ''On the Computational Complexity of Simplicial Algorithms in Approximation Zeros of Complex Polynomials'' was supervised by
Stephen Smale
Stephen Smale (born July 15, 1930) is an American mathematician, known for his research in topology, dynamical systems and mathematical economics. He was awarded the Fields Medal in 1966 and spent more than three decades on the mathematics faculty ...
. After postdoc positions, Renegar joined in 1987 the faculty of the School of Operations Research and Information Engineering at
Cornell University
Cornell University is a Private university, private Ivy League research university based in Ithaca, New York, United States. The university was co-founded by American philanthropist Ezra Cornell and historian and educator Andrew Dickson W ...
and is now a full professor there.
Renegar is a leading expert on optimization algorithms. In recent years, the focus of his research is devising new algorithms for linear programming. His 2001 monograph ''A Mathematical View of Interior-point Methods in Convex Optimization'' is intended to present a general theory of interior-point methods, suitable for a wide audience of graduate students in mathematics and engineering.
In 1990 Renegar was an invited speaker at the
International Congress of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU).
The Fields Medals, the IMU Abacus Medal (known before ...
in Kyoto. In 1995 he was a founding member of the nonprofit organization
Foundations of Computational Mathematics
Foundations of Computational Mathematics (FoCM) is an international nonprofit organization that supports and promotes research at the interface of mathematics and computation. It fosters interaction among mathematics, computer science, and other ...
.
[ He was awarded the 2018 Khachiyan Prize.
James M. Renegar Jr. married Catharine M. Barnaby and is the father of two children, Alice and Nicholas James. James M. Renegar Sr. (1928–2005) practiced law in Oklahoma City for many years.]
Selected publications
Articles
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Books
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References
External links
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{{DEFAULTSORT:Renegar, James
1955 births
Living people
20th-century American mathematicians
21st-century American mathematicians
Numerical analysts
American theoretical computer scientists
University of California, Berkeley alumni
Cornell University College of Engineering faculty