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The Adaptive Reducing Methods of Calculating Determinant.

Authors :
Sakkaplangkul, Puttha
Chuenjarern, Nattaporn
Source :
IAENG International Journal of Applied Mathematics. Mar2024, Vol. 54 Issue 3, p475-482. 8p.
Publication Year :
2024

Abstract

This paper introduces a method for determinant computation in square matrices. Our approach utilized recursion and the Schur formula to partition the matrix into submatrices. Determinant calculations were performed using the condensation method. To evaluate its computational ef- ficiency, we conducted a floating-point operation per second (FLOPS) analysis, using FLOPS to compare the efficiency of all reduction methods. Pseudocode was provided to demonstrate the computational efficiency of our method in terms of flops and execution time for square matrix determinant calculations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
19929978
Volume :
54
Issue :
3
Database :
Academic Search Index
Journal :
IAENG International Journal of Applied Mathematics
Publication Type :
Academic Journal
Accession number :
175782917