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Results tagged with recurrences
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user 150549
9
votes
1
answer
577
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Two-term recurrence relation
We consider the following system of recurrence relations for $n \in \mathbb Z$ and $\vert \lambda \vert=1$ with $\lambda \in \mathbb{C}$
$$a_{n+1} = \lambda a_{n-1}+ \lambda^* a_n + \lambda^* n b_n $$ …
- 192
10
votes
2
answers
470
views
Support of eigenvectors
Consider the $N$ by $N$ matrix
$$M_N= \begin{pmatrix} 1+3\lambda & -1-2\lambda & - \lambda & 0 & 0 &0 &0\\
-1-2\lambda & 2+3\lambda & -1 & -\lambda & 0 & 0 & 0\\
-\lambda & -1 & 2(1+\lambda) &-1 & -\ …
- 192