FINDING BOUNDARIES OF THE DOMAIN OF DEFINITION FOR FUNCTIONS ALONG A ONE-DIMENSIONAL RAY

O SHACHAM, M SHACHAM

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

A program for finding boundaries of function domains along a one-dimensional ray has been developed. The program decomposes the function into subexpressions which are recursively tested for intervals where they are undefined, negative, or fractional, or points where they equal zero. The intervals in which the subexpressions are undefined are then united to create the boundaries of the domain of definition of the whole function. The advantages of the use of such a program in solution of systems of nonlinear algebraic equations and nonlinear optimization are demonstrated.
Original languageEnglish GB
Pages (from-to)258-268
Number of pages11
JournalACM Transactions on Mathematical Software
Volume16
Issue number3
DOIs
StatePublished - Sep 1990

Keywords

  • DEFINITION DOMAIN
  • SYMBOLIC FUNCTION ANALYSIS

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