Compound Means and Fast Computation of Radicals

• 作者: Jan ?ustek
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: COMPOUND MEANS Padé APPROXIMATION COMPUTATION of RADICALS ITERATION
• 年，卷（期）: 2014,（16）
• 页码范围: 2493-2517
• 页数: 25页
• 分类号: O1

摘要

In last decades, several algorithms were developed for fast evaluation of some elementary functions with very large arguments, for example for multiplication of million-digit integers. The present paper introduces a new fast iterative method for computing values ?with high accuracy, for fixed ?and . The method is based on compound means and Padé approximations.