What every computer scientist should know about floating-point arithmetic
ACM Computing Surveys (CSUR)
The accuracy of floating point summation
SIAM Journal on Scientific Computing
Positive Definiteness and Stability of Interval Matrices
SIAM Journal on Matrix Analysis and Applications
Bounding errors in solving block Hessenberg systems
Mathematics of Computation
An introduction to difference equations
An introduction to difference equations
Fundamentals of numerical computing
Fundamentals of numerical computing
Applied numerical linear algebra
Applied numerical linear algebra
On Local Roundoff Errors in Floating-Point Arithmetic
Journal of the ACM (JACM)
Numerical computing with IEEE floating point arithmetic
Numerical computing with IEEE floating point arithmetic
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
Computer Arithmetic in Theory and Practice
Computer Arithmetic in Theory and Practice
Elementary Numerical Analysis: An Algorithmic Approach
Elementary Numerical Analysis: An Algorithmic Approach
A Priori Worst Case Error Bounds for Floating-Point Computations
IEEE Transactions on Computers
Mathematical Foundation of Computer Arithmetic
IEEE Transactions on Computers
Floating-Point Computation of Functions with Maximum Accuracy
IEEE Transactions on Computers
Numerical Methods in Scientific Computing: Volume 1
Numerical Methods in Scientific Computing: Volume 1
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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.