关键词: 魔方阵, 偶数阶, 奇数阶, 循环, 辅助矩阵

Abstract: The resolving of magic square has important value of theoretics and applications on the digital handling of matrix in engineering calculation and economic data analysis（such as Rianjev input and output matrix）.Based on concept and sort of magic square，a sort of current resolution arithmetic of magic square is put forward，and implemented using C++ program language.It resolves the problem that traditional method can not figure out even magic square.Experiments indicate that，the arithmetic utilizing assistant matrix resolves the problem that even magic square can not figure out compared with Lauber arithmetic and De la Hire arithmetic，and can realize all even magic squares’ resolution compared with using Greece Latina phalanx arithmetic.On the other hand，the arithmetic has sameness time complex degree and approving capability in figuring out odd magic square.

Key words: magic-square, even rank, odd rank, circulation, matrix