A multiplier method with automatic limitation of penalty growth

Multiplier and gradient methods

Magnus R. Hestenes · Journal of Optimization Theory and Applications · 1969 · 2.5K citations

Natural Sciences, Computer Science, Mathematics +8

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

Numerical Methods for Non-Linear Optimization

S. Vajda, F. A. Lootsma · Operational Research Quarterly (1970-1977) · 1973 · 589 citations

Natural Sciences, Computational Engineering, Mathematics +14

Integer and Nonlinear Programming

B. V. Shah, J. Abadie · Technometrics · 1971 · 311 citations

Natural Sciences, Mathematics, Algorithms +11

A new method for the optimization of a nonlinear function subject to nonlinear constraints

P. C. Haarhoff · The Computer Journal · 1970 · 133 citations · Full text

Natural Sciences, Mathematics, Algorithms +12