幻矩阵乘法构造完美幻方  

Constructing Perfect Magic Squares Using Magic Matrix Multiplication

作　　者：王正元[1] WANG Zhengyuan(Petrochina Company Limited,Beijing 100007,China)

机构地区：[1]中国石油天然气股份有限公司,北京100007

出　　处：《海南师范大学学报（自然科学版）》2018年第1期68-72,共5页Journal of Hainan Normal University（Natural Science）

摘　　要：文章定义了一种幻矩阵乘法,并给出了通过该乘法构造完美幻方的方法:当两个幻矩阵A_(m×n)和B_(n×m)相乘时,可得到mn阶完美幻方,且幻方中任意m×m方块内数字之和均相等.In this paper,a kind of magic matrix multiplication is designed,and a method for constructing perfect magic squares is derived.In the case of multiplying magic matrix AmXn by magic matrix BnXm,a perfect magic square of order mn will be obtained,having the same sum of numbers in arbitrary m Xm square.

关 键 词：幻矩阵乘法 完美幻方 

分 类 号：O157.2[理学—数学]