An Efficient Evaluation of Trigamma and Tetragamma Functions

来源 :第八届全国计算机数学会议(CM2016) | 被引量 : 0次 | 上传用户：jldxxys

【摘要】

：

　　In this work,we study the validated evaluation of two classes of polygamma functions.To achieve fast evaluation of high accuracy,we compare various expansio

【作者】

：

Hou Yuan

【机构】

：

华东师范大学

【出处】

：

第八届全国计算机数学会议(CM2016)

【发表日期】

：

2016年11期

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

　　In this work,we study the validated evaluation of two classes of polygamma functions.To achieve fast evaluation of high accuracy,we compare various expansion methods endowed with approximation error bounds and try to find the optimal approximation methods for different domains of real arguments of polygamma functions in terms of computation accuracy and speed.

其他文献

tridecGF与normsys三角分解软件包Epsilon的新模块

　　tridecGF和normsys是三角分解软件包 Epsilon 中新增的两个模块.tridecGF 模块实现了将多项式系统在有限域上分解为三角系统、正则系统、简单系统以及不可约系统等三角分

会议

括号代数中Rota拉直算法的改进

　　In bracket algebra,the calculation of invariant division and invariant Groebner basis rely onstraightening algorithm.Until now,there are at least three di f

会议

Darboux transformation and localized wave solutions for defocusing coupled nonlinear Schrodinger equ

　　In this paper,we consider the defocusing coupled nonlinear Schr¨odinger equation(dCNLS)andderive generalized localized wave solution formula through Darbou

会议

Costas拉丁方的计算机搜索

　　拉丁方是组合数学问题中一个重要的组合结构，有着重要的理论意义和广泛的应用.其中，符合Costas 性质的拉丁方更是由于很好地和雷达、声纳等实际问题吻合而有着很高的研究意

会议

on constructions of involutoty MDS matrices with block Cauchy matrices

　　Block ciphers are one of the most important building blocks in cryptosystems.Modern block ciphers are often iterations of several rounds and each round cons

会议

Multivariate Numerical Differentiation

　　The ordinary difference quotient is the simplest formula for univariate numerical differentiation.Polynomial interpolation is one of the basic theories for

会议

On Numerical PSLQ Algorithm

　　The problem of finding integer relation for a set of given real num-bers plays a very important role in many applications in mathematics,physics,computer sc

会议

Fractional Two Dimensional Discrete Chaotic Maps and their applications to theinformation security w

　　A novel fractional two dimensional triangle function combination discrete chaotic maps(2DTFCDM)is proposed by taking use of the discrete fractional calculus

会议

Surface Morphing Based on Optimal Mass Transportation

　　Morphing aims at gradually transforming a source object into a target one.Morphing techniques are of great importance in various applications,ranging from a

会议

Mu-bases for canal surfaces

　　Canal surfaces are widely used in CAD/CAM and geometric modeling.Canal surfaces are envelopes of a moving sphere with a continuously varying radius,hence ar

会议

An Efficient Evaluation of Trigamma and Tetragamma Functions

其他学术论文