Abstract: In this paper, a fast algorithm for obtaining the
unique solution of the inverse problem of in the class of the
RFMLR circulant matrices over a field F
is given by the largest common factor of polynomial. Extension is made to obtain
the unique solution of the inverse problem of in the class of the
RLMFL circulant matrices, the CFMLL circulant matrices and the CLMFU circulant
matrices over a field F,
respectively. Examples show the effectiveness of the algorithm involved.
Keywords and phrases: fast algorithm, inverse problem, RFMLR circulant.
