Comparing software for interactive solution of systems of nonlinear algebraic equations

Mordechai Shacham, Neima Brauner, Michael Pozin

Research output: Contribution to journalReview articlepeer-review

1 Scopus citations

Abstract

Four general purpose interactive numerical solution packages: MAPLE, MATLAB, MATHEMATICA and POLYMATH are compared with regard to their performance in solving systems of nonlinear algebraic equations typical to chemical engineering applications. Criteria for ease of learning, ease of use and user-friendliness of the packages are introduced. Benchmark problems are used to demonstrate that the selection of good initial estimates is still a critical issue in solving highly nonlinear problems with any of these programs. It is concluded that of the programs tested, the performance of MATHEMATICA and POLYMATH is the best for systems of NLEs, the interval of convergence of POLYMATH and MAPLE is the widest for a single NLE and POLYMATH possesses the most "user-friendly" features.

Original languageEnglish
Pages (from-to)323-331
Number of pages9
JournalComputers and Chemical Engineering
Volume22
Issue number1-2
DOIs
StatePublished - 1 Jan 1998

ASJC Scopus subject areas

  • Chemical Engineering (all)
  • Computer Science Applications

Fingerprint

Dive into the research topics of 'Comparing software for interactive solution of systems of nonlinear algebraic equations'. Together they form a unique fingerprint.

Cite this