Open AccessAlgorithms in Finding All the 4 by 4 Magic Matrices
Author(s) -
Zheng Chen
Publication year - 2020
Publication title -
international journal on recent and innovation trends in computing and communication
Language(s) - English
Resource type - Journals
ISSN - 2321-8169
DOI - 10.17762/ijritcc.v8i4.5361
Subject(s) - magic (telescope) , gauss , matlab , computer science , algorithm , gaussian elimination , completeness (order theory) , mathematics , programming language , physics , computational chemistry , chemistry , mathematical analysis , quantum mechanics , gaussian
In this paper, based on the Gauss-Jordan elimination to solve linear systems, the algorithms for finding all the magic matrices of size 4 by 4 are developed and discussed, and the efficiency of the algorithms is tested after complementing the algorithms in MATLAB. The total magic matrices of 4 by 4 can be found with the program; for completeness and explaining the algorithms, the case of 3 by 3 is also included.