On the combination of the multiplier method of Hestenes and Powell with Newton's method

DOI10.1007/BF02665291zbMath0272.65046MaRDI QIDQ2264406

Yanyan Li

Publication date: 1975

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05)

Related Items

Augmentability in optimization theory, Upper semicontinuity of set-valued functions, Quadratic multiplier method convergence, On a characterization of convergence for the Hestenes method of multipliers, Diagonalized multiplier methods and quasi-Newton methods for constrained optimization, A second-order method for the general nonlinear programming problem, Local convergence of the diagonalized method of multipliers, A geometric method in nonlinear programming, Dynamic programming and penalty functions, Local convergence of an algorithm for solving optimal control problems

Cites Work

• Convergence and duality for the multiplier and penalty methods
• Multiplier and gradient methods
• Use of the augmented penalty function in mathematical programming problems. I
• Approximation of the classical isoperimetric problem
• A method for solving a quadratic optimal control problems
• On the method of multipliers for mathematical programming problems
• The multiplier method of Hestenes and Powell applied to convex programming
• A dual approach to solving nonlinear programming problems by unconstrained optimization
• A Nonlinear Optimal Control Minimization Technique
• Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming
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