Convergence of a Conditional Gradient Algorithm for Relaxed Controls Involving First Boundary Value Problems of Parabolic Type

K. L. Teo

doi:10.1080/01630568308816177

Convergence of a Conditional Gradient Algorithm for Relaxed Controls Involving First Boundary Value Problems of Parabolic Type

K. L. Teo

University of New South Wales

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

In this paper, we consider a class of optimal control problems involving linear first boundary value problems of parabolic type. A conditional gradient method is used to devise a computational algorithm for solving this class of problems. The convergence property of this algorithm is investigated by using a topology arising in the study of relaxed controls.

Original language	English
Pages (from-to)	457-491
Number of pages	35
Journal	Numerical Functional Analysis and Optimization
Volume	6
Issue number	4
DOIs	https://doi.org/10.1080/01630568308816177
Publication status	Published - 1 Jan 1983
Externally published	Yes

Keywords

conditional gradient algorithm
convergence
first boundary conditions
Optimal control
parabolic partial differential equations
relaxed control

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10.1080/01630568308816177

Cite this

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title = "Convergence of a Conditional Gradient Algorithm for Relaxed Controls Involving First Boundary Value Problems of Parabolic Type",

abstract = "In this paper, we consider a class of optimal control problems involving linear first boundary value problems of parabolic type. A conditional gradient method is used to devise a computational algorithm for solving this class of problems. The convergence property of this algorithm is investigated by using a topology arising in the study of relaxed controls.",

keywords = "conditional gradient algorithm, convergence, first boundary conditions, Optimal control, parabolic partial differential equations, relaxed control",

author = "Teo, \{K. L.\}",

year = "1983",

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AU - Teo, K. L.

PY - 1983/1/1

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N2 - In this paper, we consider a class of optimal control problems involving linear first boundary value problems of parabolic type. A conditional gradient method is used to devise a computational algorithm for solving this class of problems. The convergence property of this algorithm is investigated by using a topology arising in the study of relaxed controls.

AB - In this paper, we consider a class of optimal control problems involving linear first boundary value problems of parabolic type. A conditional gradient method is used to devise a computational algorithm for solving this class of problems. The convergence property of this algorithm is investigated by using a topology arising in the study of relaxed controls.

KW - conditional gradient algorithm

KW - convergence

KW - first boundary conditions

KW - Optimal control

KW - parabolic partial differential equations

KW - relaxed control

UR - https://www.scopus.com/pages/publications/0021010142

U2 - 10.1080/01630568308816177

DO - 10.1080/01630568308816177

M3 - Article

AN - SCOPUS:0021010142

SN - 0163-0563

VL - 6

SP - 457

EP - 491

JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

IS - 4

ER -

Convergence of a Conditional Gradient Algorithm for Relaxed Controls Involving First Boundary Value Problems of Parabolic Type

Abstract

Keywords

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