global_min_max: Global minimum and maximum of a real-valued continuous...

In sephora: Statistical Estimation of Phenological Parameters

Global minimum and maximum of a real-valued continuous function over a closed interval

Description

Gets global minimum and maximum of a given function expression on an interval using basic calculus criteria

Usage

global_min_max(f, f1der, f2der, D)

Arguments

f	function expression
f1der	function expression of first derivative of f
f2der	function expression of second derivative of f
D	numeric vector specifying the interval over which f is optimized

Details

This function uses uniroot.all to get all roots of f1der over D, additionally, the second derivative criterion is used to determine the global minimum and maximum.

Value

A list containing:

min	numeric giving critical point where global minimum is achieved
max	numeric giving critical point where global maximum is achieved
mins	numeric vector giving all critical points satisfying second derivative criterion for minimum
maxs	numeric vector giving all critical points satisfying second derivative criterion for maximum

See Also

phenopar, uniroot.all

sephora documentation built on May 29, 2024, 4:57 a.m.