HIGH-ORDER APPROXIMATION OF THE FROBENIUS-PERRON OPERATOR

被引：41
|
作者：
DING, J [1 ]
DU, Q [1 ]
LI, TY [1 ]
机构：
[1] MICHIGAN STATE UNIV,DEPT MATH,E LANSING,MI 48824
来源：
APPLIED MATHEMATICS AND COMPUTATION | 1993年 / 53卷 / 2-3期
关键词：
D O I：
10.1016/0096-3003(93)90099-Z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We formulate a general convergence theory for the finite dimensional projection approximation of the fixed point of a class of linear operators. In particular, we explore the relation with the standard framework of stability and consistency of the approximation imply convergence. Applications include the Frobenius-Perron operator P(S), corresponding to a nonsingular measurable transformation from [0, 1] to itself. Numerical experiments are also given to support the theoretical analysis.
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页码：151 / 171
页数：21
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