Summing symbols in mutual recurrences
Document Type
Conference Proceeding
Date of Original Version
8-29-2011
Abstract
The problem of summing a set of mutual recurrence relations with constant coefficients is investigated. A method is presented for summing an order d system of the form A(n) = ∑i=1d MiA(n-i) + G(n), where A,G:ℕ → Km and M1...,Md ∈ Mm (K) for some field K and natural number m. The procedure expresses the sum ∑i=0n in terms of A(n),...,A(n-d), initial conditions and sums of the inhomogeneous term G(n). © 2011 Springer-Verlag.
Publication Title, e.g., Journal
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume
6842 LNCS
Citation/Publisher Attribution
Churchill, Berkeley R., and Edmund A. Lamagna. "Summing symbols in mutual recurrences." Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 6842 LNCS, (2011): 531-542. doi: 10.1007/978-3-642-22685-4_46.