Electronic Resource
New York, NY [u.a.]
:
Wiley-Blackwell
Numerical Linear Algebra with Applications
2 (1995), S. 87-93
ISSN:
1070-5325
Keywords:
QR algorithm
;
zero pattern
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
Notes:
The QR algorithm is a basic algorithm for computing the eigenvalues of dense matrices. For efficiency reasons it is prerequisite that the algorithm is applied only after the original matrix has been reduced to a matrix of a particular shape, most notably Hessenberg and tridiagonal, which is preserved during the iterative process. In certain circumstances a reduction to another matrix shape may be advantageous. In this paper, we identify which zero patterns of symmetric matrices are preserved under the QR algorithm.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/nla.1680020203
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