r-循环矩阵求逆和广义逆的Euclid算法

Euclid Algorithm for Finding the Inverse and Generalized Inverse of r-Circulant Matrix

  • 摘要: 利用多项式的Euclid算法给出了非奇异的r-循环矩阵求逆矩阵的一个新算法,该算法同时推广到用于求奇异r-循环矩阵的群逆和Moore-Penrose逆。最后给出了应用该算法的数值例子。

     

    Abstract: A new algorithm for finding the inverse of a nonsingular r-circulant matrix is presented by the Euclid algorithm of polynomial. Extension is made to compute the group inverse and the Moore-Penrose inverse of a singular r-circulant matrix. Finally, numerical examples are given.

     

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