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

IDM – A New Parallel Methodology to Calculate the Determinant of Matrices of the Order n, with Computational Complexity O(n) (2012)

Authors:
USP affiliated authors: SATO, LIRIA MATSUMOTO - EP ; PEREIRA, CARLOS EDUARDO DE MORAIS - EP
Unidade: EP
DOI: 10.1109/tla.2012.6142484
Subjects: PROGRAMAÇÃO PARALELA; MATLAB; MATEMÁTICA
Language: Português
Abstract: 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
Imprenta:
- Publisher place: Los Alamitos
- Date published: 2012
Source:
- Título: IEEE Latin America Transactions
- ISSN: 1548-0992
- Volume/Número/Paginação/Ano: v.10, n.1, p.1357-1363, Jan. 2012

Informações sobre o DOI: 10.1109/tla.2012.6142484 (Fonte: oaDOI API)

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ABNT

MENEZES, M.P. e PEREIRA, Carlos Eduardo de Morais e SATO, Liria Matsumoto. IDM – A New Parallel Methodology to Calculate the Determinant of Matrices of the Order n, with Computational Complexity O(n). IEEE Latin America Transactions, v. 10, n. Ja 2012, p. 1357-1363, 2012Tradução . . Disponível em: https://doi.org/10.1109/tla.2012.6142484. Acesso em: 24 jan. 2026.
APA

Menezes, M. P., Pereira, C. E. de M., & Sato, L. M. (2012). IDM – A New Parallel Methodology to Calculate the Determinant of Matrices of the Order n, with Computational Complexity O(n). IEEE Latin America Transactions, 10( Ja 2012), 1357-1363. doi:10.1109/tla.2012.6142484
NLM

Menezes MP, Pereira CE de M, Sato LM. IDM – A New Parallel Methodology to Calculate the Determinant of Matrices of the Order n, with Computational Complexity O(n) [Internet]. IEEE Latin America Transactions. 2012 ;10( Ja 2012): 1357-1363.[citado 2026 jan. 24 ] Available from: https://doi.org/10.1109/tla.2012.6142484
Vancouver

Menezes MP, Pereira CE de M, Sato LM. IDM – A New Parallel Methodology to Calculate the Determinant of Matrices of the Order n, with Computational Complexity O(n) [Internet]. IEEE Latin America Transactions. 2012 ;10( Ja 2012): 1357-1363.[citado 2026 jan. 24 ] Available from: https://doi.org/10.1109/tla.2012.6142484