Friday 23rd of February 2018

A Generalized symmetric single step method for solving interval linear systems

Hassan Badry Mohamed Ahmed El-Owny

Systems of algebraic equations with interval coefficients are very common in several areas of engineering sciences. Generalized intervals extend classical intervals providing better algebraic properties. These properties allow one constructing a generalized symmetric single step method. This paper proposes a new C-XSC (C- for eXtended Scientific Computing) software for the symmetric single step method with generalized intervals for computing an enclosure for the solution set. Examples illustrating the applicability of the proposed method are solved, and compared with other methods.

Keywords: interval linear systems, validated interval software, C-XSC, symmetric single step method.

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Hassan Badry Mohamed Ahmed El-Owny
Hassan Badry Mohamed A. El-Owny is Assistant Professor of Computer Science at Faculty of Science, Aswan University, Aswan, Egypt. His current position is Assistant Proffersor at Taif University, Taif, KSA. He received the PhD degree in ``Computer Science'' at University of Wuppertal(Germany). He is an Aboard Editor of several international journals. He has published extensively in internationally refereed journals and conferences. His main research interests are: Scientific Computing, Computer Algebra, Interval Arithmatics, Parametric systems, Approximation of Uncertain Data and Software Tools with Result Verification.

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