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 2018 · math.NTShow all

2 papers · 2 filters

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…