Masters Theses
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
Link to Catalog Record
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
