Computation of the monodromy matrix in floating point arithmetic with the Wilkinson Model
| Autor: | Ali Osman Çibikdiken, Kemal Aydin |
|---|---|
| Přispěvatelé: | Selçuk Üniversitesi |
| Rok vydání: | 2014 |
| Předmět: |
Linear difference equations
Floating point Asymptotic stability Computation Mathematical analysis Monodromy matrix Machine epsilon Floating point error Computational Mathematics Computational Theory and Mathematics Exponential stability Fundamental matrix (linear differential equation) Periodic coefficients Modeling and Simulation ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Hardware_ARITHMETICANDLOGICSTRUCTURES Fundamental matrix Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 67:1186-1194 |
| ISSN: | 0898-1221 |
| Popis: | WOS: 000333719700014 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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