University of Tabriz Computational Methods for Differential Equations 2345-3982 11 4 2023 07 01 Extrapolated triangular splitting method to interval system of linear algebraic equations 738 752 16344 10.22034/cmde.2023.53101.2240 EN Ghodrat Ebadi Faculty of Mathematical Science, University of Tabriz, 51666-14766, Tabriz, Iran. Behnam Moradi Faculty of Mathematical Science, University of Tabriz, 51666-14766, Tabriz, Iran. Sergey P. Shary Federal Research Center for Information and Computational Technologies, (previously Institute of Computational Technologies SB RAS), Novosi-birsk, Russia. Journal Article 2022 08 20 This paper presents an extrapolated triangular splitting method (\texttt{ETrnSplit}) to find the formal solution for the interval system of linear algebraic equations in which this method uses Kaucher interval arithmetic. Some numerical experiments are given to show the efficiency of this method. Interval systems of linear algebraic equations Extrapolation methods Kaucher interval arithmetic https://cmde.tabrizu.ac.ir/article_16344_9442f863525765a20f105f1fe66cc417.pdf