where $a_0,\ a_1,\ a_2,\ ...\ a_k, c_0,\ c_1,\ c_2,\ ...\ c_k \in \mathbb{R}$ (although these can be complex numbers $\mathbb{C}$ as well, but for simplicity we keep ...

Remember that a recurrence relation is a sequence that gives you a connection between two consecutive terms. These two terms are usually \({U_{n + 1}}\) and \({U_n ...

A sequence is defined by the recurrence relation \({U_n} = m{U_{n - 1}} + c\) Find the values of \(m\) and \(c\) if \({U_1} = - 3\), \({U_2} = 7\) and \({U_3} = 10 ...

Abstract: We consider the problem of computing a linear recurrence relation (or equivalently a Linear Feedback Shift Register) of minimum order for a finite sequence over a field, with the additional ...

Abstract: It has been shown in the literature that a formulation of the minimal partial realization problem in terms of exact modeling of a behavior lends itself to an iterative polynomial solution.