Algebraic Solving of Complex Interval Linear Systems by Limiting ‎Factors‎

Document Type: Research Paper


1 Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran.

2 Department of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran.


In this work, we propose a simple method for obtaining the algebraic solution of a complex interval linear system where coefficient matrix is a complex matrix and the right-hand-side vector is a complex interval vector. We first use a complex interval version of the Doolittle decomposition method and then we restrict the Doolittle's solution, by complex limiting factors, to achieve a complex interval vector such that satisfies the mentioned system.