A parameter perturbation procedure for obtaining a solution to systems of nonlinear equations.

Author

James Carlton Helm

Abstract

"For simultaneous nonlinear equations the convergence of the known functional iterative procedures is dependent upon a good initial approximation to the desired roots. In this paper the restriction on the choice of the initial approximation has been circumvented by dividing each problem into a number of subsidiary problems in accordance with a parameter perturbation procedure. The study presents a discussion of the algorithm and the conditions for convergence. The discussion, also, includes the problems which were solved using the parameter perturbation procedure"--Abstract, p. ii

Advisor(s)

Lee, Ralph E., 1921-2010

Committee Member(s)

Joiner, James W., 1931-2013
Richards, Earl F., 1923-
Schowalter, Ralph E., 1923-2001

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Mathematics

Publisher

University of Missouri at Rolla

Publication Date

1964

Pagination

v, 54 pages

Note about bibliography

Includes bibliographical references (page 53)

Rights

© 1964 James Carlton Helm, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 1640

Print OCLC #

5959693

Recommended Citation

Helm, James Carlton, "A parameter perturbation procedure for obtaining a solution to systems of nonlinear equations." (1964). Masters Theses. 5645.
https://scholarsmine.mst.edu/masters_theses/5645