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Computation of the monodromy matrix in floating point arithmetic with the Wilkinson Model
(Pergamon-Elsevier Science Ltd, 2014) Cibikdiken, Ali Osman; Aydin, Kemal
In this study, results have been obtained that compute the monodromy matrix in floating point arithmetic using the Wilkinson Model. These results have been applied to the asymptotic stability of systems of linear difference equations with periodic coefficients. Also the effect of floating point arithmetic has been investigated on numerical examples. (C) 2013 Elsevier Ltd. All rights reserved.
Sensitivity of Hurwitz stability of linear differential equation systems with constant coefficients
(World Scientific Publ Co Pte Ltd, 2017) Duman, Ahmet; Aydin, Kemal
For Hurwitz stable linear differential equation system with constant coefficients, we have proved continuity theorems which show how much change is permissible without disturbing the Hurwitz stability and the k*-Hurwitz stability. The results have been applied to the scalar-linear differential equations with order k and some examples illustrating the efficiency of the theorems have been given.