"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.
Lee, Ralph E., 1921-2010
Antle, Charles E.
Chenoweth, Robert D.
Remington, Charles R., 1924-2013
Mathematics and Statistics
M.S. in Applied Mathematics
University of Missouri at Rolla
iv, 39 pages
© 1964 Herbert Richard Alcorn, All rights reserved.
Thesis - Open Access
Print OCLC #
Link to Catalog Record
Alcorn, Herbert R., "The effect of matrix condition in the solution of a system of linear algebraic equations." (1964). Masters Theses. 5642.