摘要
Kerner pointed that the sequence (x1m,x2m,…xnm)converges to （r1,r2,…rn）（m→∞）if the initial approximation (x10, x20, …, xn（0）) is close to （r1, r2,…rn） sufficiently. The convergence of(x1m, x2m,…, xnm) produced by （2） from (x10,x20,…,xn（0）) usually cannot be testified because （r1, r2,…,rn） is unknown. The purpose of this paper is to give sufficient conditions for testifying the convergence.
