双侧区间松弛法的进一步研究

A Further Study on Two-sided Interval Relaxation Method

给出一种解非线性方程组的区间松弛法，其条件比有关文献的条件弱，但得出了同样的结论。此外，还给出了解存在的两个充分条件以及收敛速度比较定理，并给出一种选取较“大”的非负、非奇异左下逆矩阵Ｐ以使收敛速度加快的方法。

An interval relaxation method to solve system of nonlinear equations is discussed in this paper.The conditions is weaker than the related reference.But the conclusion is thesame.Besides,two sufficient conditions are given for the existence of solutions.A speed comparasiontheorem is prsented,too.Finally,an illustrative example is also given.