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The Adaptive Reducing Methods of Calculating Determinant
Date Issued
January 1, 2024
Type
Article
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 efficiency, 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.
Citation
Iaeng International Journal of Applied Mathematics, 54(3), 475-482, 2024