Keyword

unconstrained optimization

Description: A mathematical optimization problem in which an objective function is minimized or maximized without explicit constraints on the decision variables.

Primary topic: Advanced Optimization Algorithms Research (62%)

OpenAlex ID: keywords/unconstrained-optimization

Convex Optimization

2004 · Stephen Boyd, Lieven Vandenberghe · Cambridge University Press eBooks · 56,561

Numerical Methods for Unconstrained Optimization and Nonlinear Equations

1996 · J. E. Dennis, Robert B. Schnabel · Society for Industrial and Applied Mathematics eBooks · 7,615

Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions

1998 · Jeffrey C. Lagarias, James A. Reeds, et al. · SIAM Journal on Optimization · 7,449

Nonlinear programming: theory and algorithms

1993 · Computers & Operations Research · 5,779

Function minimization by conjugate gradients

1964 · R. Fletcher · The Computer Journal · 4,947

Linear and nonlinear programming.

1986 · Mathematics and Computers in Simulation · 4,805

An efficient method for finding the minimum of a function of several variables without calculating derivatives

1964 · M. J. D. Powell · The Computer Journal · 4,628

`` Direct Search'' Solution of Numerical and Statistical Problems

1961 · Robert Hooke, T. A. Jeeves · Journal of the ACM · 4,256

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Advanced engineering mathematics

1998 · Choice Reviews Online · 4,100

A new approach to variable metric algorithms

1970 · R. Fletcher · The Computer Journal · 4,073

Practical Methods of Optimization.

1989 · Christoph Witzgall, R. Fletcher · Mathematics of Computation · 3,592

A Family of Variable-Metric Methods Derived by Variational Means

1970 · Donald Goldfarb · Mathematics of Computation · 3,331

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Nonlinear Programming

1994 · Olvi L. Mangasarian · Society for Industrial and Applied Mathematics eBooks · 3,220

Trust Region Methods

2000 · Andrew R. Conn, Nicholas I. M. Gould, et al. · Society for Industrial and Applied Mathematics eBooks · 3,015

Updating Quasi-Newton Matrices with Limited Storage

1980 · Jorge Nocedal · Mathematics of Computation · 2,960

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The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations

1970 · C. G. BROYDEN · IMA Journal of Applied Mathematics · 2,878

Two-Point Step Size Gradient Methods

1988 · JONATHAN BARZILAI, JONATHAN M. BORWEIN · IMA Journal of Numerical Analysis · 2,877

Multiplier and gradient methods

1969 · Magnus R. Hestenes · Journal of Optimization Theory and Applications · 2,450

Jaya: A simple and new optimization algorithm for solving constrained and unconstrained optimization problems

2015 · R. Venkata Rao · International Journal of Industrial Engineering Computations · 2,080

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Iterative Methods for Optimization

1999 · C. T. Kelley · Society for Industrial and Applied Mathematics eBooks · 2,064

Minimization of functions having Lipschitz continuous first partial derivatives

1966 · Larry Armijo · Pacific Journal of Mathematics · 1,985

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Optimization by Direct Search: New Perspectives on Some Classical and Modern Methods

2003 · Tamara G. Kolda, Robert Michael Lewis, et al. · SIAM Review · 1,657

Quasi-Newton Methods, Motivation and Theory

1977 · J. E. Dennis, Jr., Jorge J. Moré · SIAM Review · 1,556

Testing Unconstrained Optimization Software

1981 · Jorge J. Moré, Burton S. Garbow, et al. · ACM Transactions on Mathematical Software · 1,534

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Stochastic Approximation Methods for Constrained and Unconstrained Systems

1978 · Harold J. Kushner, Dean S. Clark · Applied mathematical sciences · 1,459

Works count: 9,941

Citation count: 312,700