Richard P. Brent | |
---|---|
Born |
Melbourne |
20 April 1946
Nationality | Australian |
Fields | Mathematics, computer science |
Institutions | Australian National University |
Alma mater | Stanford University |
Doctoral advisors |
Gene H. Golub George Forsythe |
Doctoral students | Andreas Griewank[] |
Notable awards | Hannan Medal (2005) |
Richard Peirce Brent (born 20 April 1946, Melbourne) is an Australian mathematician and computer scientist. He is an emeritus professor at the Australian National University and a conjoint professor at the University of Newcastle (Australia). From March 2005 to March 2010 he was a Federation Fellow at the Australian National University. His research interests include number theory (in particular factorisation), random number generators, computer architecture, and analysis of algorithms.
In 1973, he published a root-finding algorithm (an algorithm for solving equations numerically) which is now known as Brent's method.
In 1975 he and Eugene Salamin independently conceived the Salamin–Brent algorithm, used in high-precision calculation of . At the same time, he showed that all the elementary functions (such as log(x), sin(x) etc.) can be evaluated to high precision in the same time as (apart from a small constant factor) using the arithmetic-geometric mean of Carl Friedrich Gauss.