Other Extensions
A function f(x) is "S-unimodal" (often referred to as "S-unimodal map") if its Schwartzian derivative is negative for all .
In computational geometry if a function is unimodal it permits the design of efficient algorithms for finding the extrema of the function.
A more general definition, applicable to a function f(X) of a vector variable X is that f is unimodal if there is a one to one differentiable mapping X = G(Z) such that f(G(Z)) is convex. Usually one would want G(Z) to be continuously differentiable with nonsingular Jacobian matrix.
Quasiconvex functions and quasiconcave functions extend the concept of unimodality to functions whose arguments belong to higher-dimensional Euclidean spaces.
Read more about this topic: Unimodality
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