ERRORS - Numerical Nonsense

ERRORS is a collection of computational exercises that seem reasonable, but which produce numerical nonsense. The computations include polynomial evaluation and root finding, linear system solution, minimization, and Taylor series approximation.

Reference 1:

U Kulisch, C Ullrich, Editors,
Wissenschaftliches Rechnen und Programmiersprachen,
(Scientific Computing and Programming Languages),
Berichte des German Chapter of the ACM,
(Reports of the German Chapter of the ACM),
Volume 10, Teubner Verlag, 1982.

Reference 2:

Yves Nievergelt,
Numerical Linear Algebra on the HP-28, or How to Lie with Supercalculators,
The American Mathematical Monthly,
Volume 98, Number 6, June-July 1991, pages 539-544.

Reference 3:

S M Rump,
Wie Zuverlaessig Sind die Ergebnisse Unserer Rechenanlagen?
(How Reliable are the Results of our Computations?)
Jahrbuch Ueberblicke Mathematik 1983, pages 163-168.

Files you may copy include:

• errors.f90, the source code;
• errors_prb.f90, the calling program;
• errors_prb.out, the sample output.

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