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Published in:
1986 | OriginalPaper | Chapter
Another algorithm for computing An.
Author : J. P. LaSalle
Published in: The Stability and Control of Discrete Processes
Publisher: Springer New York
Included in: Professional Book Archive
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In Section 4 we gave an algorithm for computing An that depended upon computing the eigenvalues of A. Here in this section we give an algorithm that does not require computing the eigenvalues. As before we let $$\psi \left( \lambda \right) = {\lambda ^s} + {a_{s - 1}}{\lambda ^{s - 1}} + \cdots + {a_0}$$ be any polynomial that annihilates A -- i.e., such that ψ(A) = 0. We can, for instance, always take ψ(λ) to be the characteristic polynomial of A.