Theorems of the alternative and optimality conditions

Generalized Lagrange Multiplier Method for Solving Problems of Optimum Allocation of Resources

Hugh Everett · Operations Research · 1963 · 1.3K citations

Management, Industrial Engineering, Cost-utility Analysis +12

Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming

R. T. Rockafellar · SIAM Journal on Control · 1974 · 590 citations

Natural Sciences, Mathematics, Cost-minimization Analysis +16

Exact penalty functions in nonlinear programming

James P. Evans, F. J. Gould, Jon W. Tolle · Mathematical Programming · 1973 · 304 citations

Natural Sciences, Mathematics, Algorithms +10

Theorems of the alternative and optimality conditions

F. Giannessi · Journal of Optimization Theory and Applications · 1984 · 168 citations

Natural Sciences, Mathematics, Optimization +8

Extensions of Lagrange Multipliers in Nonlinear Programming

F. J. Gould · SIAM Journal on Applied Mathematics · 1969 · 94 citations

Natural Sciences, Mathematics, Algorithms +11