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中文摘要：
提出了一种新的循环矩阵,称之为首尾差r-循环矩阵（简记为FLDcircr矩阵）.验证了它的线性运算、矩阵乘积、逆矩阵等仍为FLDcircr矩阵.通过构造基本FLDcircr矩阵,给出FLDcircr矩阵的判别方法及逆和广义逆的快速算法.
英文摘要：
A new type of matrices which is called as the first and the last difference r-circulant matrix（FLDcircrmatrix）was presented.The linear operation,the matrix product,the inverse matrix of this type of matrices were verified to be still FLDcircr matrices.Through constructing the basic FLDcircr matrix,the discriminance for FLDcircrmatrices and the fast algorithm for their inverse and generalized inverse were provided.
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