A method to calculate determinants, with computer algorithm interpretation

In this paper we present the new algorithm to calculate determinants of nth order using Salihu’s method of reducing the order of determinants to second order. We have implemented the Dodgson’s algorithm within Salihu’s method to calculate submatrices. Within the paper we have also developed the computer algorithm to calculate the determinant using this new method. While comparing the computer execution time with the well-known methods, we have seen that this new algorithm presented is executed faster

Comparison of Computer Execution Time of Determinant Calculation

Based on the fact that determinants and matrices have extensive application in scientific researches, and based on the fact that at the time of technology almost all different researches and simulations are made using computer systems. Therefore, within this paper, we have presented the comparison of the duration of calculating determinants through computer systems. In this paper, we have developed the computer function of calculating determinants using the Laplace expansion method, as well as the computational function for calculating determinants using the Salihu\u27s method. Within this paper, we have compared the duration of the execution of these functions of the calculation of the final result of the determinant. The duration analysis is done for different orders and the duration of both methods is compared