Binomial coefficients and powers of large tridiagonal matrices with constant diagonals. (English) Zbl 1291.15039
Summary: We derive a general expression for the entries of the \(q\)th power \((q\in \mathbb N)\) of the \(n\times n\) complex tridiagonal matrix tridiag\(_n(a_1,a_0,a_{-1})\) for all \(n\geqslant 2(q-1)\), in terms of binomial coefficients.
MSC:
| 15A24 | Matrix equations and identities |
References:
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