Efficient Methods for Finding Zeros of Functions Whose Derivatives are Easy to Evaluate.

Abstract

Some multipoint iterative methods without memory for approximating simple zeros of functions of one variable are described. Explicit, nonlinear, Runge-Kutta methods for the solution of a special class of ordinary differential equations may be derived from the methods for finding zeros of functions. Numerical examples and some FORTRAN subroutines are given.

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1974
Accession Number
ADA004207

Entities

People

  • Richard Brent

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Cooperation
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Procedures (Computers)
  • Runge Kutta Method

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis