An Efficient Algorithm for Constructing all Magic Squares of Order Four

Liu, Changyu; Zhao, Tiezhu; Lu, Bin

doi:10.14257/ijca.2015.8.11.23

IJCA

2015

DOI: 10.14257/ijca.2015.8.11.23

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An Efficient Algorithm for Constructing all Magic Squares of Order Four

Changyu Liu¹,

Tiezhu Zhao²,

Bin Lu³

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2020

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“…In algorithm II, with all the possible permutations for [6], it concludes that the algorithm II is a very efficient one. For the convenience of readers, the script file in Matlab is included in the following.…”

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confidence: 93%

Algorithms in Finding All the 4 by 4 Magic Matrices

Chen¹

2020

IJRITCC

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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.

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confidence: 93%

Algorithms in Finding All the 4 by 4 Magic Matrices

Chen¹

2020

IJRITCC

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An Efficient Algorithm for Constructing all Magic Squares of Order Four

Cited by 1 publication

References 14 publications

Algorithms in Finding All the 4 by 4 Magic Matrices

Algorithms in Finding All the 4 by 4 Magic Matrices

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