Iterative functional equation x(x(t))=f(t) with f(t) piecewise linear

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摘要

The equation x(x(t))=f(t) is discussed in many papers purely from the theoretical point of view (existence, properties). We consider the properties of the solution and corresponding algorithms for computing the exact solution of such equations in the case of f(t) being a line or polygon.

论文关键词:39 B 20,39 B 12,65 Q 05,Functional equations,Square iterative root,Algorithms for piecewise linear square roots

论文评审过程:Received 30 July 1998, Available online 14 February 2000.

论文官网地址:https://doi.org/10.1016/S0377-0427(99)00308-8