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1986 | OriginalPaper | Buchkapitel

An algorithm for computing An

verfasst von : J. P. LaSalle

Erschienen in: The Stability and Control of Discrete Processes

Verlag: Springer New York

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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-lr-2,…,α0 such that $${A^r} + {\alpha _{r - 1}}{A^{r - 1}} + \cdots + {\alpha _0}I = 0$$ .

Metadaten
Titel
An algorithm for computing An
verfasst von
J. P. LaSalle
Copyright-Jahr
1986
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4612-1076-4_4