A Note on Convergence for JOR Iteration Method

According to the concept of the generalized double strictly diagonally dominant matrix,a new upper bound of spectrum radius for JOR iteration matrix and a convergence theorem of iteration method were given,aiming at commonly used iteration method while solving linear equations.The results are suitable to not only double strictly diagonal dominant matrices but also generalized double strictly diagonally dominant matrices.Assessment on spectrum radius of the relative iteration matrix is more exact,and the range of choosing convergent parameters of JOR is extended.An example illustrated the advantages of given results.