minimiser
A minimiser (British English) or minimizer (American English) is a term used in mathematics and related fields to denote an element of a domain at which a given function attains its minimum value. Formally, for a real-valued function f defined on a set X, a point x* in X is a minimiser if f(x*) ≤ f(x) for all x in X. If the inequality is strict for all x ≠ x*, x* is a strict minimiser.
Minimisers can be classified by how far their minimum value extends across the domain. A global minimiser
Existence and characterization depend on the problem. If X is compact and f is continuous, a minimum
Common methods to find minimisers include gradient descent and Newton-type algorithms for unconstrained problems, and specialized
Minimisers are central in optimization, statistics, economics, and engineering, where determining the configuration that minimizes a