论文信息 - On rational circulants satisfying Am = dl + λJ

On rational circulants satisfying Am = dl + λJ

Abstract This paper investigates the matrix equation A m = dl + λJ , where A is a rational circulant. Here d and λ are rational numbers, I is the identity matrix, and J is the matrix with every entry equal to 1. A necessary and sufficient condition is given for the existence of matrices satisfying this equation. Also, it is shown that there is no nontrivial solution if entries of A are restricted to take only values 0 and 1.

S. L. Ma

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