A method to calculate determinants, with computer algorithm interpretation
Session
Computer Science and Communication Engineering
Description
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.
Keywords:
determinants, computer function, determinant calculation, time comparison
Session Chair
Bertan Karahoda
Session Co-Chair
Krenare Pireva
Proceedings Editor
Edmond Hajrizi
ISBN
978-9951-437-69-1
Location
Pristina, Kosovo
Start Date
27-10-2018 10:45 AM
End Date
27-10-2018 12:15 PM
DOI
10.33107/ubt-ic.2018.79
Recommended Citation
Salihu, Armend and Salihu, Fatlinda, "A method to calculate determinants, with computer algorithm interpretation" (2018). UBT International Conference. 79.
https://knowledgecenter.ubt-uni.net/conference/2018/all-events/79
A method to calculate determinants, with computer algorithm interpretation
Pristina, Kosovo
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.