The solution of linear systems equations with circulant-like coefficient matrices

A direct method is proposed to get the solution of linear systems of equations with circulant-like coefficient matrices that find important application in engineering, the elements of solutions are functions of zero points of the characteristic polynomial g(z)g(z) and g′(z)g′(z) of circulant matrix, three examples to get the inverse matrix, and the solutions of linear system are presented in the paper.