NEWTON''S METHOD FOR NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS
非线性椭圆边值问题的牛顿型迭代法

In this paper, we show that the Newton - relaxation. methods for nonlinear ellipticboundary value problems is quadratically, globally convergent. Schryer 2], 3] hadshown this result for mildly nonlinear elliptic boundary value problems, and wegeneralize Schryer's result.