Konvergierender

Konvergierender is a German adjective form derived from the verb konvergieren, meaning to converge. It is used to describe something that moves toward a limit or point, such as a sequence, a series, a process, or an algorithm, and it appears primarily in mathematical and technical texts. The form can function attributively before a masculine singular noun, for example: ein konvergierender Prozess, ein konvergierender Algorithmus. For feminine or neuter nouns, other declensions are used, such as eine konvergierende Folge or ein konvergendes Verfahren. In mathematical usage, more common phrases include konvergierende Folge (convergent sequence) and konvergente Reihe (convergent series). The noun for the concept is Konvergenz, and related adjectives include konvergent and konvergierend, which express convergence in various grammatical contexts.

The concept of convergence appears across disciplines: in calculus and analysis to describe limits; in numerical methods to describe iterative methods that approach a fixed value; and in physics or computer science to describe systems that settle toward a stable state.

Etymology: from the verb konvergieren, itself from Latin convergere. See also Konvergenz, konvergente Folge, konvergierender Prozess.