High-accuracy arithmetic software—some tests of the ACRITH problem-solving routines

Author:

Jansen Paul1,Weidner Peter1

Affiliation:

1. Kernforschungsanlage Ju¨lich, Zentralinstitut fu¨r Angewante Mathematik, Ju¨lich, West Germany

Abstract

The program package ACRITH (High-Accuracy Arithmetic Subroutine Library) provides FORTRAN subroutines for the solution of several standard mathematical problems. The routines use floating point operations with extended precision and interval arithmetic and are designated especially for the solution of ill-conditioned problems. Test results for most of the routines are presented with emphasis on the practical usability of the package. It turns out that not all routines are of equal high quality and reliability; in the documentation, hints to the implemented numerical algorithms are completely missing, and the error messages are not always concise. Some possible alternatives like symbolic algebra systems or multiple precision packages are mentioned.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Reference8 articles.

1. ACRITH. High-Accuracy Arithmetic Subroutine Library Program Description and User's Guide IBM SC33-6164-1. ACRITH. High-Accuracy Arithmetic Subroutine Library Program Description and User's Guide IBM SC33-6164-1.

2. A Fortran Multiple-Precision Arithmetic Package

3. A Set of Counter-Examples to Three Condition Number Estimators

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4. How accurate should numerical routines be?;ACM SIGNUM Newsletter;1990-07

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