Richard Brent (scientist)

Richard Brent (scientist)

Richard Peirce Brent is an Australian mathematician and computer scientist, born in 1946. As of October 2005 he is an ARC Federation Fellow at the Australian National University. His research interests include number theory (in particular factorization), 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. [Brent (1973). "Algorithms for Minimization without Derivatives." Prentice-Hall, Englewood Cliffs, NJ.]

In 1975 he and Eugene Salamin independently discovered the Brent-Salamin algorithm, used in high-precision calculation of pi. 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 pi (apart from a small constant factor) using the arithmetic-geometric mean of Carl Friedrich Gauss.

In 1979 he showed that the first 75 million complex zeros of the Riemann zeta function lie on the critical line, providing some experimental evidence for the Riemann Hypothesis.

In 1980 he and Nobel laureate Edwin McMillan found a new algorithm for high-precision computation of the Euler-Mascheroni constant gamma using Bessel functions, and showed that gamma can not have a simple rational form "p"/"q" (where "p" and "q" are integers) unless "q" is extremely large (greater than 1015000).

In 1980 he and John Pollard factored the eighth Fermat number using a variant of the Pollard rho algorithm. He later factored the tenth and eleventh Fermat numbers using Lenstra's elliptic curve factorization algorithm.

In 2002 he (with Samuli Larvala and Paul Zimmermann) discovered a very large primitive trinomial [] :: x^{6972593} + x^{3037958} + 1. The degree 6972593 is the exponent of a Mersenne prime.

He is descended from Hannah Ayscough, mother of Isaac Newton.

He is currently a Chief Investigator of the [ ARC Centre of Excellence for Mathematics and Statistics of Complex Systems] .He is a Fellow of the Association for Computing Machinery, the IEEE and the Australian Academy of Science.


External links

* [ Richard Brent's home page]

Wikimedia Foundation. 2010.

Look at other dictionaries:

  • Richard Brent — may refer to:*Richard Brent (Virginia) (1757 ndash;1814), U.S. Congressman and Senator from Virginia *Richard Brent (scientist) (born 1946), Australian mathematician and computer science professor *Richard Brent Tully, astronomer based in Hawaii …   Wikipedia

  • Brent (disambiguation) — For the origin of the name see Brent Articles on Brent include:Place names*the London Borough of Brent *the River Brent which runs through the Boroughs of Barnet, Brent, Ealing and Hounslow. *the Brent oilfield (named after the goose) in the… …   Wikipedia

  • Morris Cohen (scientist) — Morris Cohen (November 27, 1911 – May 27, 2005). Born in Chelsea, Massachusetts, United States, Cohen spent his entire career affiliated with MIT. He graduated from his undergraduate degree in 1933, receiving his doctorate three years later, and… …   Wikipedia

  • Gauss–Legendre algorithm — The Gauss–Legendre algorithm is an algorithm to compute the digits of pi;. It is notable for being rapidly convergent, with only 25 iterations producing 45 million correct digits of pi;. However, the drawback is that it is memory intensive and it …   Wikipedia

  • АГС метод Гаусса — Гаусс заметил, что последовательности ,  : … …   Википедия

  • Wallace Fard Muhammad — Photograph of Wallace Fard Muhammad Leader of the Nation of Islam In office 1929–1934 Succeeded by …   Wikipedia

  • November 1900 — January – February – March – April – May – June – July – August – September – October – November – December November 6, 1900: William McKinley and Theodore Roosevelt win election …   Wikipedia

  • Military career of L. Ron Hubbard — L. Ron Hubbard Lts (jg) L. Ron Hubbard and Thomas S. Moulton in Portland, Oregon in 1943. Born March 13, 1 …   Wikipedia

  • Malcolm X — This article is about the person. For other uses, see Malcolm X (disambiguation). Malik Shabazz redirects here. For other people of that name, see Malik Shabazz (disambiguation). Malcolm X …   Wikipedia

  • List of Planet of the Apes characters — The Planet of the Apes franchise features many characters that appear in one or more works. Contents 1 Aldo 2 Armando 3 Governor Breck 3.1 Notes …   Wikipedia