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Explicit form of powers of quadratic matrices with two rows. (Explizite Form von Potenzen einer quadratischen zweireihigen Matrix.) (Czech. Russian, German summaries) Zbl 0136.24801
The author gives a general formula to the calculation of the arbitrary power \(n\) (where \(n\) is an integer) of a square matrix of order 2. The solution is based on an auxiliary problem of the difference equations. The proposed formula is convenient for the application in electrical engineering as well as in numerical mathematics.
Reviewer: V. Brčić
MSC:
15A16 Matrix exponential and similar functions of matrices
39A05 General theory of difference equations
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