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Published in:
1986 | OriginalPaper | Chapter
An 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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The space of all m × m matrices is an m2-dimensional linear space. In this section A is any m × m matrix,real or complex. This means there is a smallest integer r such that I,A,…,Ar-1 are linearly independent, and hence there are real numbers αr-l,αr-2,…,α0 such that $${A^r} + {\alpha _{r - 1}}{A^{r - 1}} + \cdots + {\alpha _0}I = 0$$ .