Author(s) :
Tobias Brüll
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 18-2008
MSC 2000
- 39A05 General
-
15A06 Linear equations
Abstract :
Explicit solution formulas are presented for systems of the form E x^{k+1} = A x^{k} + f^{k} with regular pencil \lambda E − A. Different results are obtained when one starts at k = 0 and calculates into the future (i.e., E x^{k+1} = A x^{k} + f^{k} with k \in \mathbb N) and when one wants to get a complete solution (i.e., E x^{k+1} = A x^{k} + f^{k} with k \in \mathbb Z).
Keywords :
descriptor system, strangeness index, linear discrete descriptor system, explicit solution
Notes :
submitted to ELA