A Generalized Interval Arithmetic
Proceedings of the International Symposium on Interval Mathemantics
Parametric Linear System of Equations, Whose Elements are Nonlinear Functions
SCAN '06 Proceedings of the 12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics
Solving linear systems whose input data are rational functions of interval parameters
NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
Direct method for solving parametric interval linear systems with non-affine dependencies
PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part II
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The problem of solving linear systems whose coefficients are nonlinear functions of parameters varying within prescribed intervals is investigated. A new method for outer interval solution of such system is proposed. In order to reduce memory usage, nonlinear dependencies between parameters are handled using revised affine arithmetic. Some numerical experiments which aim to show the properties of the proposed method are reported.