Uporedite metode

	Симплекс метод	Metoda augmentiranog Lagranžijana
Oblast	Operaciona istraživanja	Operaciona istraživanja
Porodica	Machine learning	Machine learning
Godina nastanka	1947	1969
Tvorac	George Dantzig	Magnus R. Hestenes and M. J. D. Powell
Tip	algorithm	algorithm
Temeljni izvor	Dantzig, G. B. (1963). Linear Programming and Extensions. Princeton University Press.	Hestenes, M. R. (1969). Multiplier and gradient methods. Journal of Optimization Theory and Applications, 4(5), 303-320.
Drugi nazivi	simplex algorithm	method of multipliers, augmented Lagrangian, ADMM
Srodne	4	3
Sažetak	The Simplex Method, developed by George Dantzig in 1947, is a foundational algorithm for solving linear programming problems. It systematically explores vertices of the feasible region to find the optimal solution where the objective function is maximized or minimized subject to linear constraints.	The Augmented Lagrangian Method, developed by Magnus R. Hestenes and M. J. D. Powell in 1969, is a powerful technique for solving constrained optimization problems. It converts a constrained problem into a sequence of unconstrained subproblems by augmenting the Lagrangian with a quadratic penalty term, enabling efficient solution of large-scale problems including convex and nonconvex cases.