Y. G. Saridakis, “Domains of divergence of the USSOR method applied on p-Cycilic matrices”, Num.e Math.,vol. 57, no.1 ,pp 405-412, 1990.doi:10.1007/BF01386419
https://doi.org/10.1007/BF01386419
Using a recently derived classical type general functional equation, relating the eigenvalues of a weakly cyclic Jacobi iteration matrix to the eigenvalues of its associated Unsymmetric Successive Overrelaxation (USSOR) iteration matrix, we obtain bounds for the convergence of the USSOR method, when applied to systems with ap-cyclic coefficient matrix.