An algorithm to approximate the real trilogarithm for a real argument

06/21/2023
by   Alexander Voigt, et al.
0

We present an algorithm to approximate the real trilogarithm for a real argument with IEEE 754-1985 double precision accuracy. The approximation is structured such that it can make use of instruction-level parallelism when executed on appropriate CPUs.

READ FULL TEXT
research
01/05/2022

Comparison of methods for the calculation of the real dilogarithm regarding instruction-level parallelism

We compare different methods for the computation of the real dilogarithm...
research
08/28/2007

Formally Verified Argument Reduction with a Fused-Multiply-Add

Cody & Waite argument reduction technique works perfectly for reasonably...
research
11/30/2021

On the very accurate evaluation of the Voigt/complex error function with small imaginary argument

A rapidly convergent series, based on Taylor expansion of the imaginary ...
research
04/11/2018

Evaluating Winding Numbers through Cauchy Indices in Isabelle/HOL

In complex analysis, the winding number measures the number of times a p...
research
04/11/2018

Evaluating Winding Numbers and Counting Complex Roots through Cauchy Indices in Isabelle/HOL

In complex analysis, the winding number measures the number of times a p...
research
08/14/2016

Computation of the incomplete gamma function for negative values of the argument

An algorithm for computing the incomplete gamma function γ^*(a,z) for re...
research
09/14/2019

Instructional Level Parallelism

This paper is a review of the developments in Instruction level parallel...

Please sign up or login with your details

Forgot password? Click here to reset