Multiplier methods: A survey

[1]  D. Bertsekas Approximation procedures based on the method of multipliers , 1977 .

[2]  D. Bertsekas,et al.  Combined Primal–Dual and Penalty Methods for Convex Programming , 1976 .

[3]  B. Mercier,et al.  A dual algorithm for the solution of nonlinear variational problems via finite element approximation , 1976 .

[4]  D. Bertsekas ON PENALTY AND MULTIPLIER METHODS FOR CONSTRAINED MINIMIZATION , 1976 .

[5]  Dimitri P. Bertsekas,et al.  Necessary and sufficient conditions for a penalty method to be exact , 1975, Math. Program..

[6]  Elijah Polak,et al.  A quadratically convergent primal-dual algorithm with global convergence properties for solving optimization problems with equality constraints , 1975, Math. Program..

[7]  O. Mangasarian Unconstrained Lagrangians in Nonlinear Programming , 1975 .

[8]  R. Fletcher An Ideal Penalty Function for Constrained Optimization , 1975 .

[9]  D. Bertsekas On the method of multipliers for convex programming , 1975 .

[10]  D. Bertsekas COMBINED PRIMAL-DUAL AND PENALTY METHODS FOR CONSTRAINED MINIMIZATION* , 1975 .

[11]  Y. Sawaragi,et al.  Multiplier method and optimal control problems with terminal state constraints , 1975 .

[12]  D. Bertsekas Nondifferentiable optimization via approximation , 1975 .

[13]  Barry Warren Kort,et al.  Combined primal-dual and penalty function algorithms for nonlinear programming , 1975 .

[14]  B. W. Kort RATE OF CONVERGENCE OF THE METHOD OF MULTIPLIERS WITH INEXACT MINIMIZATION , 1975 .

[15]  R. Rockafellar Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming , 1974 .

[16]  V. T. Polyak TRET''''YAKOV: The method of penalty estimates for conditional extremum problems , 1974 .

[17]  D. Bertsekas,et al.  Multiplier methods for convex programming , 1973, CDC 1973.

[18]  R. Rockafellar The multiplier method of Hestenes and Powell applied to convex programming , 1973 .

[19]  D. Bertsekas Convergence rate of penalty and multiplier methods , 1973, CDC 1973.

[20]  R. Brusch A rapidly convergent method for equality constrained function minimization , 1973, CDC 1973.

[21]  R. Tyrrell Rockafellar,et al.  A dual approach to solving nonlinear programming problems by unconstrained optimization , 1973, Math. Program..

[22]  Floyd J. Gould,et al.  A general saddle point result for constrained optimization , 1973, Math. Program..

[23]  R. Tyrrell Rockafellar,et al.  Penalty Methods and Augmented Lagrangians in Nonlinear Programming , 1973, Optimization Techniques.

[24]  R. D. Rupp A nonlinear optimal control minimization technique , 1973 .

[25]  E. Polak,et al.  An adaptive precision gradient method for optimal control. , 1973 .

[26]  E. Polak Introduction to linear and nonlinear programming , 1973 .

[27]  D. Bertsekas,et al.  A new penalty function method for constrained minimization , 1972, CDC 1972.

[28]  J. Cullum Finite-Dimensional Approximations of State-Constrained Continuous Optimal Control Problems , 1972 .

[29]  A. V. Levy,et al.  On the method of multipliers for mathematical programming problems , 1972 .

[30]  R. D. Rupp Approximation of the classical isoperimetric problem , 1972 .

[31]  R. D. Rupp A method for solving a quadratic optimal control problem , 1972 .

[32]  K. Narendra,et al.  Constrained optimization problems using multiplier methods , 1972 .

[33]  K. Mårtensson,et al.  A new approach to constrained function optimization , 1973 .

[34]  A. V. Levy,et al.  Use of the augmented penalty function in mathematical programming problems, part 2 , 1971 .

[35]  A. V. Levy,et al.  Use of the augmented penalty function in mathematical programming problems, part 1 , 1971 .

[36]  J. Cullum An explicit procedure for discretizing continuous, optimal control problems , 1971 .

[37]  J. E. Nahra Balance function for the optimal control problem , 1971 .

[38]  Elijah Polak,et al.  Computational methods in optimization , 1971 .

[39]  Leon S. Lasdon,et al.  Optimization Theory of Large Systems , 1970 .

[40]  E. M. L. Beale,et al.  Nonlinear Programming: A Unified Approach. , 1970 .

[41]  P. C. Haarhoff,et al.  A New Method for the Optimization of a Nonlinear Function Subject to Nonlinear Constraints , 1970, Comput. J..

[42]  R. Fletcher,et al.  A Class of Methods for Nonlinear Programming II Computational Experience , 1970 .

[43]  Boris Polyak Iterative methods using lagrange multipliers for solving extremal problems with constraints of the equation type , 1970 .

[44]  J. Daniel On the convergence of a numerical method for optimal control problems , 1969 .

[45]  M. Hestenes Multiplier and gradient methods , 1969 .

[46]  J. Cullum Discrete Approximations to Continuous Optimal Control Problems , 1969 .

[47]  B. Budak,et al.  Difference Approximations in Optimal Control Problems , 1969 .

[48]  M. Powell A method for nonlinear constraints in minimization problems , 1969 .

[49]  Anthony V. Fiacco,et al.  Nonlinear programming;: Sequential unconstrained minimization techniques , 1968 .

[50]  D. Luenberger Optimization by Vector Space Methods , 1968 .

[51]  J. Cullum Perturbations of Optimal Control Problems , 1966 .

[52]  B. V. Dean,et al.  Studies in Linear and Non-Linear Programming. , 1959 .