George Forsythe的最后一篇论文
数值分析
2010-05-10 v2 数值分析
统计计算
摘要
我们描述了冯·诺依曼从指数分布中采样的优雅思想,Forsythe将其推广为从密度形式为exp(-G(x))的概率分布中采样,其中G(x)易于计算(例如多项式),以及我对这些思想的改进,以给出一个生成正态分布伪随机数的高效算法。还提到了后来的发展。
引用
@article{arxiv.1005.0909,
title = {George Forsythe's last paper},
author = {Richard P. Brent},
journal= {arXiv preprint arXiv:1005.0909},
year = {2010}
}
备注
10 pages. Text of an invited talk presented at the Stanford 50 Conference celebrating the 50th anniversary of George Forsythe's arrival at Stanford and the 75th birthday of Gene Golub. For further details see http://wwwmaths.anu.edu.au/~brent/pub/pub238.html