第二类r-置换因子循环矩阵的逆与广义逆

The Inverse and Generalized Inverse of the Second Kind of r-permutation Factor Circulant Matrix

给出了第二类r-置换因子循环矩阵的概念,利用特殊矩阵(f(x)1g(x)0),得到f(x)、g(x)的公因式d(x),根据公因式的取值进而得到第二类r-置换因子循环矩阵的逆与广义逆,并给出了具体的计算公式.

In this paper,the concept and some characters of the second kind of r-permutation circulant matrix are proposed,d（x） is derived by a special matrix （f（x） 1g（x）0）,and then the inverse and generalized inverse of the second kind of r-permutation factor circulant matrix are obtained with specific calculation formula.