Yazar "Aydin, Kemal" seçeneğine göre listele

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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.
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    Iterative decreasing dimension algorithm
    (PERGAMON-ELSEVIER SCIENCE LTD, 2007) Keskin, Tuba; Aydin, Kemal
    In this study, we have given an iterative decreasing dimension method (IDDM) which decreases by one dimension at every step for solution of a system of linear algebraic equations without any pre-processing and an iterative decreasing dimension algorithm (IDDA) which is based on this method. We have also given numerical examples using this algorithm. (C) 2007 Elsevier Ltd. All rights reserved.
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    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.
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    Sensitivity of Schur stability of monodromy matrix
    (ELSEVIER SCIENCE INC, 2011) Duman, Ahmet; Aydin, Kemal
    For Schur stable linear difference equation system with periodic coefficients, we prove continuity theorems on monodromy matrix which show how much change is permissible without disturbing the Schur stability, and some examples illustrating the efficiency of the theorems are given. Crown Copyright (C) 2011 Published by Elsevier Inc. All rights reserved.