The effect of matrix condition in the solution of a system of linear algebraic equations.

Author

Herbert R. Alcorn

Abstract

"The solution of a system of linear non-homogeneous equations may contain errors which originate from many sources. A system of linear equations in which small changes in the coefficients cause large changes in the solution is unstable and the coefficient matrix is ill- conditioned .

The purpose of this study is to define several measures of matrix condition and to test them by correlation with a measure of the actual errors introduced into a system of equations.

The study indicates that three of the five measures of condition tested were reliable indices of the magnitude of error to expect in the solution of a system of linear equations"--Abstract, page ii.

Advisor(s)

Lee, Ralph E., 1921-2010

Committee Member(s)

Antle, Charles E.
Chenoweth, Robert D.
Remington, Charles R., 1924-2013

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Applied Mathematics

Publisher

University of Missouri at Rolla

Publication Date

1964

Pagination

iv, 39 pages

Note about bibliography

Includes bibliographical references (pages 37-38).

Rights

© 1964 Herbert Richard Alcorn, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 1637

Print OCLC #

5959672

Recommended Citation

Alcorn, Herbert R., "The effect of matrix condition in the solution of a system of linear algebraic equations." (1964). Masters Theses. 5642.
https://scholarsmine.mst.edu/masters_theses/5642