Date of Award
1975
Degree Type
Report
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
Committee Chair(s)
Rex L. Hurst
Committee
Rex L. Hurst
Committee
David White
Committee
Barteel Jensen
Abstract
The eigenvalues of the matrix eigenproblem Ax = λx are computed by the QR double-step method and the eigenvectors by inverse power method.
The matrix A is preliminarily scaled by the equilibration and normalization procedure. The scaled matrix is then reduced to an upper-Hessenberg form by Householder's method. The QR double-step iteration is performed on the upper-Hessenberg matrix. After all the eigenvalues are found, the inverse power method is performed on the upper-Hessenberg matrix to obtain the corresponding eigenvectors.
The program consists of five subroutines which is able to find real and/or complex eigen value/vector of an nxn real matrix.
Recommended Citation
Ma, Yeh-Hao, "The Computation of Eigenvalues and Eigenvectors of an NxN Real General Matrix" (1975). All Graduate Plan B and other Reports, Spring 1920 to Spring 2023. 1273.
https://digitalcommons.usu.edu/gradreports/1273
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