Title: On computing the eigenvectors of a class of structured matrices
Authors: Mastronardi, Nicola ×
Van Barel, Marc
Van Camp, Ellen
Vandebril, Raf #
Issue Date: May-2006
Publisher: Elsevier
Series Title: Journal of Computational and Applied Mathematics vol:189 issue:1-2 pages:580-591
Abstract: A real symmetric matrix of order n has a full set of orthogonal eigenvectors. The most used approach to compute the spectrum of such matrices reduces first the dense symmetric matrix into a symmetric structured one, i.e., tridiacronal Z matrices or semiseparable matrices. This step is accomplished in O(n(3)) operations. Once the latter symmetric structured matrix is available, its spectrum is computed in an iterative fashion by means of the QR method in O(n(2)) operations.
ISSN: 0377-0427
Publication status: published
KU Leuven publication type: IT
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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