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SIAM J. on Scientific Computing / Volume 30 / Issue 2

SIAM J. Sci. Comput. 30, pp. 637-656 (20 pages)

Continuation of Invariant Subspaces in Large Bifurcation Problems

David Bindel, James Demmel, and Mark Friedman

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We summarize an algorithm for computing a smooth orthonormal basis for an invariant subspace of a parameter-dependent matrix, and describe how to extend it for numerical bifurcation analysis. We adapt the continued subspace to track behavior relevant to bifurcations, and use projection methods to deal with large problems. To test our ideas, we have integrated our code into MATCONT, a program for numerical continuation and bifurcation analysis.

© 2008 Society for Industrial and Applied Mathematics

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KEYWORDS

AMS Subject Headings

65F15, 65F50, 37M20, 65H20

PUBLICATION DATA

ISSN

1064-8275 (print)  
1095-7197 (online)

Publisher

$abstract.society.value is a Member of CrossRef Society for Industrial and Applied Mathematics

ARTICLE DATA

History
Received March 13, 2006
Accepted June 16, 2007
Published online February 14, 2008
Digital Object Identifier
http://dx.doi.org/10.1137/060654219

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