Calculation of Determinant of a two-variable Polynomial Matrix in Complex Basis

Abstract

In this paper, an innovation in evaluation part of Evaluation Interpolation technique (E-I) is presented. The variables of this technique have been defined in Complex domain. The use of complex numbers instead of real ones in evaluation part, provides us with the opportunity of using conjugate properties. With these properties, the number of evaluations in evaluation part is being decreased. The interpolation part is common for both methods.