关于矩阵方程A2 = J (英文)

On the Matrix Equation A2 = J

中文摘要:

      本试验研究在于将蔬菜种植和畜禽养殖共处于一个棚舍内,相互补充各自的不足,产生良性循环,提高综合经济效益。

英文摘要:

      An unsolved problem is to enumerate all solutions for the matrix equation A²= J where A is a n n×n (0,1) -matrix and J is the n × n matr trix with every entry being l. Here we present a family of n×n generalized circulant (0, 1)- matrices each of whose square is J. Moreover, the existence of this family is unique up to permutational similarity.