Some practical aspects of finding the roots of equations using fixed‐point iteration with a computer program

Some practical aspects of finding the roots of equations using fixed‐point iteration with a computer program

The fixed‐point iteration procedure for locating the roots of nonlinear equations, as usually described, is limited in its range of applicability. With some modifications it can be used for additional equations and, for many equations, the number of steps of iteration needed is reduced. The revised...

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Bibliographic Details
Published in:American journal of physics Vol. 60; no. 10; pp. 929 - 933
Main Author: Blair, J. Morris
Format: Journal Article
Language:English
Published: Woodbury American Institute of Physics 01-10-1992
Subjects:
Physics
EQUATIONS
NUMERICAL ANALYSIS
ROOTS
CONVERGENCE
ITERATIVE METHODS
COMPUTER CALCULATIONS
Online Access:Get full text
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Description
Summary:The fixed‐point iteration procedure for locating the roots of nonlinear equations, as usually described, is limited in its range of applicability. With some modifications it can be used for additional equations and, for many equations, the number of steps of iteration needed is reduced. The revised procedures are easily applied with a short computer program.
ISSN:0002-9505
1943-2909
DOI:10.1119/1.17018