Convergence of chaotic iterative least fixed point computations
Jiawang Wei, Zezeng Zhang · International Journal of Computer Mathematics · 1991
Iterative methods for computing fixed points of functions could usually be accommodated with some kinds of chaotic mechanisms for decreasing computational complexity. In this paper, chaotic iterative least fixed point computations of multidimensional functions on partially ordered sets are investigated, representative functions are devised to describe these computation processes, and based on this representation, a necessary and sufficient condition judging the convergence of all these computations is given.