Untitled. Untitled. Théorie de la complexité des algorithmes. La théorie de la complexité est le domaine des mathématiques, et plus précisément de l'informatique théorique, qui étudie formellement la quantité de ressources (temps, espace mémoire, etc.) dont a besoin un algorithme pour résoudre un problème algorithmique.
Il s'agit donc d'étudier la difficulté intrinsèque des problèmes, de les organiser par classes de complexité et d'étudier les relations entre les classes de complexité. Le problème de voyageur de commerce ː calculer un plus court circuit qui passe une et une seule fois par toutes les villes (ici 15 villes). Computational complexity theory. Computational complexity theory is a branch of the theory of computation in theoretical computer science and mathematics that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other.
A computational problem is understood to be a task that is in principle amenable to being solved by a computer, which is equivalent to stating that the problem may be solved by mechanical application of mathematical steps, such as an algorithm. A problem is regarded as inherently difficult if its solution requires significant resources, whatever the algorithm used. The theory formalizes this intuition, by introducing mathematical models of computation to study these problems and quantifying the amount of resources needed to solve them, such as time and storage.
Closely related fields in theoretical computer science are analysis of algorithms and computability theory. Computational problems[edit] Nos algorithmes pourraient-ils être BEAUCOUP plus rapides ? (P=NP ?)