摘要
本文讨论方程Fx=0的局部迭代解的存在性及其收敛速度。我们用Newton-Like迭代列替代了文[1]中的Steffensen-Like迭代列,并在较弱的条件下得到了文[1]的结果。
Let B be a partially ordered Banach Space, F: β→B a nonlinear operator. The monotone Newton-Like iterative sequences which converge quadratically to the minimal or maximal solutions of equatron Fx=0 are constructed in this paper.
出处
《宁夏大学学报（自然科学版）》
CAS
1991年第3期15-21,共7页
Journal of Ningxia University(Natural Science Edition)
关键词
BANACH空间
半序
算子方程
迭代解
partially ordered Banach Space, order subdifferential, order subdifferentiable operator, subinverse operator, inverse isotone operator, iterative solution.
