A Novel Transformation Method for Solving Complex Interval Matrix

Subject Areas : International Journal of Industrial Mathematics

F. Babakordi ¹ (Department of Mathematics and statistics, Gonbad Kavous University, Gonbad Kavous, Iran.)

Received: 2019-01-30 Accepted : 2019-07-25 Published : 2020-05-01

Keywords: Matrix system, Interval complex number, Interval linear system, Complex number, Crisp systems,

Abstract :

Since complex interval matrix have many applications in different fields of science, in this paperinterval complex matrix system as [W][Z] = [K] in which [W]; [K] are n × n known interval complexmatrices and [Z] is n × n unknown interval complex matrix is studied.Using operations on interval complex numbers and matrices and defining a theorem, two auxiliaryaddition and subtraction complex systems are introduced and proved. Then, using the equalityproperty of two complex numbers, the auxiliary interval complex systems are transformed to realcrisp systems. Then the new system is solved and [Z] is achieved. Finally, some numerical examplesare given to illustrate the applicability and ability of the proposed approach.