The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints

J. B. Rosen

doi:10.1137/0108011

The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints

Journal of the Society for Industrial and Applied Mathematics ◽

10.1137/0108011 ◽

1960 ◽

Vol 8 (1) ◽

pp. 181-217 ◽

Cited By ~ 635

Author(s):

J. B. Rosen

Keyword(s):

Nonlinear Programming ◽

Projection Method ◽

Linear Constraints ◽

Gradient Projection ◽

Gradient Projection Method

Download Full-text

A combined penalty function and gradient projection method for nonlinear programming

Journal of Optimization Theory and Applications ◽

10.1007/bf00932843 ◽

1974 ◽

Vol 14 (5) ◽

pp. 477-495 ◽

Cited By ~ 7

Author(s):

D. G. Luenberger

Keyword(s):

Nonlinear Programming ◽

Projection Method ◽

Penalty Function ◽

Gradient Projection ◽

Gradient Projection Method

Download Full-text

A simplex algorithm---gradient projection method for nonlinear programming

10.1145/800184.810513 ◽

1971 ◽

Cited By ~ 1

Author(s):

L. Duane Pyle

Keyword(s):

Nonlinear Programming ◽

Projection Method ◽

Simplex Algorithm ◽

Gradient Projection ◽

Gradient Projection Method

Download Full-text

The Gradient Projection Method for Nonlinear Programming. Part II. Nonlinear Constraints

Journal of the Society for Industrial and Applied Mathematics ◽

10.1137/0109044 ◽

1961 ◽

Vol 9 (4) ◽

pp. 514-532 ◽

Cited By ~ 329

Author(s):

J. B. Rosen

Keyword(s):

Nonlinear Programming ◽

Projection Method ◽

Gradient Projection ◽

Gradient Projection Method ◽

Nonlinear Constraints

Download Full-text

Convergence of the gradient projection method and Newton’s method as applied to optimization problems constrained by intersection of a spherical surface and a convex closed set

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542516100055 ◽

2016 ◽

Vol 56 (10) ◽

pp. 1716-1731 ◽

Cited By ~ 3

Author(s):

Yu. A. Chernyaev

Keyword(s):

Projection Method ◽

Newton’S Method ◽

Newton's Method ◽

Optimization Problems ◽

Spherical Surface ◽

Gradient Projection ◽

Gradient Projection Method ◽

Closed Set ◽

Convex Closed Set

Download Full-text

An extension of the gradient projection method and Newton’s method to extremum problems constrained by a smooth surface

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542515090079 ◽

2015 ◽

Vol 55 (9) ◽

pp. 1451-1460 ◽

Cited By ~ 4

Author(s):

Yu. A. Chernyaev

Keyword(s):

Projection Method ◽

Newton’S Method ◽

Newton's Method ◽

Smooth Surface ◽

Gradient Projection ◽

Gradient Projection Method ◽

Extremum Problems

Download Full-text

Parametric Optimization of Metal Rod Structures Using the Modified Gradient Projection Method

International Applied Mechanics ◽

10.1007/s10778-021-01096-0 ◽

2021 ◽

Author(s):

I. D. Peleshko ◽

V. V. Yurchenko

Keyword(s):

Projection Method ◽

Parametric Optimization ◽

Gradient Projection ◽

Gradient Projection Method ◽

Rod Structures

Download Full-text

The Gradient Projection Method under Mild Differentiability Conditions

SIAM Journal on Control ◽

10.1137/0310009 ◽

1972 ◽

Vol 10 (1) ◽

pp. 93-98 ◽

Cited By ~ 46

Author(s):

G. P. McCormick ◽

R. A. Tapia

Keyword(s):

Projection Method ◽

Gradient Projection ◽

Gradient Projection Method

Download Full-text

On ${\text{L}}^2 $ Sufficient Conditions and the Gradient Projection Method for Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/s0363012994266127 ◽

1996 ◽

Vol 34 (4) ◽

pp. 1270-1290 ◽

Cited By ~ 25

Author(s):

J. C. Dunn

Keyword(s):

Optimal Control ◽

Projection Method ◽

Optimal Control Problems ◽

Sufficient Conditions ◽

Gradient Projection ◽

Gradient Projection Method ◽

Control Problems

Download Full-text

A Weighted Gradient Projection Method for Inverse Kinematics of Redundant Manipulators Considering Multiple Performance Criteria

Strojniški vestnik – Journal of Mechanical Engineering ◽

10.5545/sv-jme.2017.5182 ◽

2018 ◽

Keyword(s):

Projection Method ◽

Inverse Kinematics ◽

Gradient Projection ◽

Performance Criteria ◽

Gradient Projection Method ◽

Redundant Manipulators

Download Full-text

A conjugate gradient projection method for solving equations with convex constraints

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112781 ◽

2020 ◽

Vol 375 ◽

pp. 112781 ◽

Cited By ~ 3

Author(s):

Li Zheng ◽

Lei Yang ◽

Yong Liang

Keyword(s):

Projection Method ◽

Conjugate Gradient ◽

Gradient Projection ◽

Gradient Projection Method ◽

Convex Constraints ◽

Solving Equations

Download Full-text