Lecture Notes in Numerical Analysis with Mathematica

Lecture Notes in Numerical Analysis with Mathematica

Indexed in: EBSCO.

“ Lecture Notes in Numerical Analysis with Mathematica” highlights most of the important algorithms and their solved examples by Mathematica. The contents of this book include chapters on ...
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Floating Point Computer Arythmetic

Pp. 1-26 (26)

Krystyna STYš and Tadeusz STYš

Abstract

In this chapter, propagation of round-off errors in floating point arithmetic operations of computers numbers is presented. The notions of the conditional number, stability and complexity of algorithms are introduced and illustrated by examples. The Horners scheme for evaluation of Polynomials is given to elucidate the optimal and well-conditioned algorithms when they are implemented in a computer system like Mathematica. The chapter ends with a set of questions.

Keywords:

Computer numbers, Round-off errors.

Affiliation:

University of Warsaw, Poland.