Computation of the monodromy matrix in floating point arithmetic with the Wilkinson model

DOI10.1016/j.camwa.2013.11.014zbMath1350.65141OpenAlexW2089227454MaRDI QIDQ316618

Ali Osman Çıbıkdiken, Kemal Aydın

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.11.014

zbMATH Keywords

fundamental matrixnumerical examplesasymptotic stabilitymonodromy matrixperiodic coefficientslinear difference equationsfloating point errorWilkinson model

Mathematics Subject Classification ID

Numerical methods for difference equations (65Q10)

Uses Software

• mctoolbox

Cites Work

• Error analysis of floating-point computation
• Generalized matrix diagonal stability and linear dynamical systems
• Numerical Computing with IEEE Floating Point Arithmetic
• The Accuracy of Floating Point Summation
• Numerical Methods in Scientific Computing, Volume I
• Floating-Point Computation of Functions with Maximum Accuracy
• Mathematical Foundation of Computer Arithmetic
• Positive Definiteness and Stability of Interval Matrices
• A priori worst case error bounds for floating-point computations
• Rounding errors in solving block Hessenberg systems
• Pitfalls in Computation, or why a Math Book isn't Enough
• On Local Roundoff Errors in Floating-Point Arithmetic
• Numerical inverting of matrices of high order
• ROUNDING-OFF ERRORS IN MATRIX PROCESSES
• Numeric characteristics for asymptotic stability of solutions to linear difference equations with periodic coefficients
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