Publication Date

1967

Document Type

Dissertation/Thesis

First Advisor

Beach, James W.||Christiano, John G.

Degree Name

M.S. (Master of Science)

Legacy Department

Department of Mathematics

LCSH

Equations

Abstract

The application of Newton's Method to determine the approximate solution to an equation will, depending upon the equation and first approximation used, lead to an approximation which is equal to the first. If "a" is the root of the equation f(x)=0 and the approximation to this root is taken as a value x₁ which satisfies the equation (f(x₁))/(f'(x₁)) = 2(x₁-a), then the approximations to the root x=a will not get successively better, but will repeat themselves. Several cases in which this phenomenon occurs are discussed.

Comments

Includes bibliographical references.||Includes illustrations.

Extent

ii, 19 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

Download

Share

COinS