Chio’s-like method for calculating the rectangular (non-square) determinants: Computer algorithm interpretation and comparison

Authors

  • Armend Salihu South East European Unviversity
  • Fahri Marevci University of Prishtina

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i2.3920

Keywords:

Determinants, Rectangular Determinants, Computer Algorithm., Chio’s Method

Abstract

In this paper, we present an approach for the calculation of rectangular determinants, where in addition to the mathematical formula, we also provide a computer algorithm for their calculation. Firstly, we present a method similar to Sarrus method for calculating the rectangular determinant of the order 2 × 3. Secondly, we present an approach for calculating the rectangular determinants of order m × n by adding a row with all elements equal to one (1) in any row, as well as an application of Chio’s rule for calculating the rectangular determinants. Thirdly, we find the time complexity and comparison of the computer execution time of calculation of the rectangular determinant based on the presented algorithms and comparing them with the algorithm based on the Laplace method.

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Published

2021-05-18

Issue

Section

Nonlinear Analysis

How to Cite

Chio’s-like method for calculating the rectangular (non-square) determinants: Computer algorithm interpretation and comparison. (2021). European Journal of Pure and Applied Mathematics, 14(2), 431-450. https://doi.org/10.29020/nybg.ejpam.v14i2.3920