A mathematica package for solving and displaying inequalities

R. Ipanaqué, A. Iglesias

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

3 Scopus citations

Abstract

Solving inequalities is a very important topic in computational algebra. In fact, the most important computer algebra systems include sophisticated tools for solving different kinds of inequalities in both symbolic and graphical ways. This paper presents a new Mathematica package, InequationPlot, for displaying the two-dimensional solution sets of several inequalities. In particular, it extends Mathematica's capabilities by providing graphical solutions to many inequalities (such as those involving trigonometric, exponential and logarithmic functions) that cannot be solved by using the standard Mathematica commands and packages. The package also deals with inequalities involving complex variables by displaying the corresponding solutions on the complex plane. The output obtained is consistent with Mathematica's notation and results and the package provides a similar output for those cases already solved by Mathematica. The performance of the package is discussed by means of several illustrative and interesting examples.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
EditorsMarian Bubak, Geert Dick van Albada, Peter M. A. Sloot, Jack J. Dongarra
PublisherSpringer Verlag
Pages303-310
Number of pages8
ISBN (Print)3540221298
DOIs
StatePublished - 2004

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3039
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Fingerprint

Dive into the research topics of 'A mathematica package for solving and displaying inequalities'. Together they form a unique fingerprint.

Cite this