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Research Paper | Mathematics and Statistics | Volume 15 Issue 7, July 2026 | Pages: 791 - 795 | Vietnam
An Algorithm for Solving Interval Full Linear Equation Systems
Abstract: This paper presents a new algorithm for solving full interval linear equation systems in which both the coefficient matrix and the right-hand-side vector contain interval values. The proposed approach combines interval function optimization with the Differential Evolution algorithm to determine the lower and upper bounds of the interval solution while reducing the overestimation commonly associated with interval arithmetic. The algorithm is implemented in Maple and verified through representative numerical examples. Comparisons with existing methods demonstrate that the proposed approach produces reliable strong interval solutions while maintaining good computational accuracy.
Keywords: Interval numbers, Interval analysis, Interval arithmetic, Interval matrix, Interval linear equation systems, Differential Evolution, Optimization
How to Cite?: Duy Cong Le, Trung Thanh Nguyen, "An Algorithm for Solving Interval Full Linear Equation Systems", Volume 15 Issue 7, July 2026, International Journal of Science and Research (IJSR), Pages: 791-795, https://www.ijsr.net/getabstract.php?paperid=SR26708234828, DOI: https://dx.doi.org/10.21275/SR26708234828