B tech. Discrete mathematics (I. T & Comp. Science Engg.) Syllabus


Method for solving linear homogeneous recurrence relations with constant coefficients



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Method for solving linear homogeneous recurrence relations with constant coefficients:

In the previous subsection, we have seen a backtracking method for solving recurrence relation. However, not all the equations can be solved easily using this method. In this subsection, we shall discuss the method of solving a type of recurrence relation called linear homogeneous recurrence relation. Before that we shall define this class of recurrence relation.


Definition : A linear homogeneous recurrence relation of degree k with constant coefficients is a recurrence relation of the form:an c1an 1 c2 an 2  …  ck an k , where c1, c2, ..., ck are constant real numbers with ck  0.

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