Computing the eigenvalues and eigenvectors of a general matrix by reduction to general tridiagonal form Page: 3 of 20
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COMPUTING THE
EIGENVALUES AND EIGENVECTORS OF A GENERAL MATRIX
BY REDUCTION TO GENERAL TRIDIAGONAL FORM
J. J. Dongarra
G. A. Geist
C. H. Romine
Abstract
This paper describes programs to reduce a nonsynmmetric matrix to tridiagona!
form, compute the eigenvalues of the tridiagonal matrix, improve the accuracy of
an eigenvalue, and compute the corresponding eigenvector.
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Dongarra, J. J.; Geist, G. A. & Romine, C. H. Computing the eigenvalues and eigenvectors of a general matrix by reduction to general tridiagonal form, report, September 1, 1990; Tennessee. (https://digital.library.unt.edu/ark:/67531/metadc1211799/m1/3/: accessed July 16, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.