Integer powers of complex anti-tridiagonal matrices and some complex factorizations

Durmuş Bozkurt; H. Kübra Duru

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arXiv · 1406.3184

Integer powers of complex anti-tridiagonal matrices and some complex factorizations

Durmuş Bozkurt·H. Kübra Duru

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Abstract

In this paper, we obtain a general expression for the entries of the rth power of a certain n-square complex anti-tridiagonal matrix where if n is odd, r is integer or if n is even, r is natural number. In addition, we get the complex factorizations of Fibonacci polynomials, Fibonacci and Pell numbers.

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Durmuş Bozkurt, H. Kübra Duru. 2014-06-12. Integer powers of complex anti-tridiagonal matrices and some complex factorizations. https://arxiv.org/abs/1406.3184

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