摘要
本义给出了一个数量标号的八面形变维数不动点算法，它是Laan和Talman算法的对偶形式.利用这算法。证明了比Freund组为引理更强的结果.另一方面，这算法可用于计算某些连续映射的零点，且具有跟踪连通零点集的功能.
This paPer presents an octahedral variable dimension alg0rithm of fixed points with scalar label, which is dual to that of Van der Laan and Talman. A combinatorial lemma, stronger than Freund's lemmas, is proved by this algorithm. Meanwhile, this algorithm provides approximate zeros of continuous mapping on Euclidian space and, in some casest can follow the pathwise connected set of zeros.
出处
《应用数学学报》
CSCD
北大核心
1997年第2期282-288,共7页
Acta Mathematicae Applicatae Sinica
关键词
不动点算法
变维数算法
连续映射
零点
数量标号
Fixed point algorithm, variable dimension algorithm, combinatorial lemma,zero of a continuous mapping
