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IDM - A New Parallel Methodology to Calculate the Determinant of Matrices of the Order n, with Computational Complexity O(n)

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3 Author(s)
Pereira, C.E.M. ; Univ. de Sao Paulo (USP), Sao Paulo, Brazil ; Pereira, C.E.M. ; Sato, L.M.

This paper presents a new parallel methodology for calculating the determinant of matrices of the order n, with computational complexity O(n), using the Gauss-Jordan Elimination Method and Chio's Rule as references. We intend to present our step-by-step methodology using clear mathematical language, where we will demonstrate how to calculate the determinant of a matrix of the order n in an analytical format. We will also present a computational model with one sequential algorithm and one parallel algorithm using a pseudo-code.

Published in:

Latin America Transactions, IEEE (Revista IEEE America Latina)  (Volume:10 ,  Issue: 1 )