R. Brent

activity

20072021

most citedOn the stability of the Bareiss and related Toeplitz factorization algorithms

61 citations · 445 across the 59 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.NT2018

A Conjectured Integer Sequence Arising From the Exponential Integral

Richard P. Brent, M. L. Glasser, Anthony J. Guttmann

Let $f_{0} (z) = exp (z / (1 - z))$ , $f_{1} (z) = exp (1/ (1 - z)) E_{1} (1/ (1 - z))$ , where $E_{1} (x) = \int_{x}^{\infty} e^{- t} t^{- 1} d t$ . Let $a_{n} = [z^{n}] f_{0} (z)$ and $b_{n} = [z^{n}] f_{1} (z)$ be the corres…

math.NT2018★ 3 cited

The Borwein brothers, Pi and the AGM

Richard P. Brent

We consider some of Jonathan and Peter Borweins' contributions to the high-precision computation of $π$ and the elementary functions, with particular reference to their book "Pi an…

math.CO2018★ 1 cited

Computation of Maximal Determinants of Binary Circulant Matrices

Richard P. Brent, Adam B. Yedidia

We describe algorithms for computing maximal determinants of binary circulant matrices of small orders. Here "binary matrix" means a matrix whose elements are drawn from ${0, 1}$ …