5 results about "Fixed-point iteration" patented technology

In numerical analysis, fixed-point iteration is a method of computing fixed points of iterated functions. More specifically, given a function f defined on the real numbers with real values and given a point x₀ in the domain of f, the fixed point iteration is xₙ₊₁=f(xₙ), n=0,1,2,… which gives rise to the sequence x₀,x₁,x₂,… which is hoped to converge to a point x. If f is continuous, then one can prove that the obtained x is a fixed point of f, i.e., f(x)=x.