Convergent and Divergent Relation Between MPSD Iterative Method and Jacobi Method
Chen Heng-xin · Yingyong shuxue yu jisuan shuxue xuebao · 2000
MPSD iterative method (0 ωi τ ≤ 1, i = 1, 2) and Jacobi iterative method as the methods for solving linear equation system Ax = b(A is a irreduciable matrix) are proved to be convergent and divergent simultaneously in case Jacobi matrix B is nonnegative. The relation between their spectral radius ρ(Sτ,ω1,ω2) and ρ(B) is given.