A comparison of the LR and QR transformations for finding the eigenvalues for real nonsymmetric matrices

Author

Susan Clara Hanson

Abstract

"The LR and QR algorithms, two of the best available iterative methods for finding the eigenvalues of a nonsymmetric matrix associated with a system of linear homogeneous equations, are studied. These algorithms are discussed as they apply to the determination of the eigenvalues of real nonsymmetric matrices.

A comparison of the speed and accuracy of these transformations is made. A detailed discussion of the criterion for convergence and the numerical difficulties which may occur in the computation of multiple and complex conjugate eigenvalues are included.

The results of this study indicate that the QR algorithm is the more successful method for finding the eigenvalues of a real nonsymmetric matrix"--Abstract, page ii.

Advisor(s)

Lee, Ralph E.

Committee Member(s)

Gillett, Billy E.
Wellek, Robert M.
Alcorn, Herbert R., 1933-2008

Department(s)

Computer Science

Degree Name

M.S. in Computer Science

Publisher

University of Missouri at Rolla

Publication Date

1966

Pagination

iv, 48 pages

Note about bibliography

Includes bibliographical references (page 47).

Rights

© 1966 Susan Clara Hanson, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

EigenvaluesNonsymmetric matricesAlgorithms

Thesis Number

T 1863

Print OCLC #

5973337

Electronic OCLC #

896827813

Recommended Citation

Hanson, Susan Clara, "A comparison of the LR and QR transformations for finding the eigenvalues for real nonsymmetric matrices" (1966). Masters Theses. 5740.
https://scholarsmine.mst.edu/masters_theses/5740