Algorithm convergence

THEOREM 1. Given matrix H and vector d, the algorithm converges. The number of iteration depends on parameters  and . PROOF. The convergence of the algorithm depends on Equation (6). Equation (6) converges if and only if 1 ) (  H   , where ) ( H   is the spectral radius of matrix H  . Since j and for each row i of matrix H, either    ) ( 1 ) , ( i Ne j j i h 0 ) , (  i h or    ) ( 0 ) , ( i Ne j j i h ,