Z──循环矩阵及其对角化

Z──CIRCULANT MATRIX AND ITS DIAGONALIZATION

文［１］讨论了循环矩阵的对角化问题。本文讨论更广泛的一类循环矩阵──Ｚ─循环矩阵。首先确定了交换环上Ｚ──循环矩阵集的代数结构，然后解决复Ｚ──循环矩阵的对角化问题。

Diagonalization of circulant matrix has been discussed by[1]. In this peper,we discuss wider circulant matrix,Z-circulant matrix.At first we determine the algebraic strcture of the set of Zcirculant matrixs over a commutative ring, then we solve the problem of diagonalization of complex Z -circulantmatrix.