On convergence properties of a least-distance programming procedure for minimization problems under linear constraints

G. L. Xue

doi:10.1007/BF00939279

On convergence properties of a least-distance programming procedure for minimization problems under linear constraints

G. L. Xue

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

4 Scopus citations

Abstract

In Ref. 1, Bazaraa and Goode provided an algorithm for solving a nonlinear programming problem with linear constraints. In this paper, we show that this algorithm possesses good convergence properties.

Original language	English (US)
Pages (from-to)	365-370
Number of pages	6
Journal	Journal of Optimization Theory and Applications
Volume	50
Issue number	2
DOIs	https://doi.org/10.1007/BF00939279
State	Published - Aug 1986
Externally published	Yes

Keywords

Nonlinear programming
algorithms
global convergence
linear constraints
pseudoconvex functions
quasiconvex functions

ASJC Scopus subject areas

Management Science and Operations Research
Control and Optimization
Applied Mathematics

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10.1007/BF00939279

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title = "On convergence properties of a least-distance programming procedure for minimization problems under linear constraints",

abstract = "In Ref. 1, Bazaraa and Goode provided an algorithm for solving a nonlinear programming problem with linear constraints. In this paper, we show that this algorithm possesses good convergence properties.",

keywords = "Nonlinear programming, algorithms, global convergence, linear constraints, pseudoconvex functions, quasiconvex functions",

author = "Xue, {G. L.}",

year = "1986",

month = aug,

doi = "10.1007/BF00939279",

language = "English (US)",

volume = "50",

pages = "365--370",

journal = "Journal of Optimization Theory and Applications",

issn = "0022-3239",

publisher = "Springer New York",

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T1 - On convergence properties of a least-distance programming procedure for minimization problems under linear constraints

AU - Xue, G. L.

PY - 1986/8

Y1 - 1986/8

N2 - In Ref. 1, Bazaraa and Goode provided an algorithm for solving a nonlinear programming problem with linear constraints. In this paper, we show that this algorithm possesses good convergence properties.

AB - In Ref. 1, Bazaraa and Goode provided an algorithm for solving a nonlinear programming problem with linear constraints. In this paper, we show that this algorithm possesses good convergence properties.

KW - Nonlinear programming

KW - algorithms

KW - global convergence

KW - linear constraints

KW - pseudoconvex functions

KW - quasiconvex functions

UR - http://www.scopus.com/inward/record.url?scp=0022769206&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022769206&partnerID=8YFLogxK

U2 - 10.1007/BF00939279

DO - 10.1007/BF00939279

M3 - Article

AN - SCOPUS:0022769206

SN - 0022-3239

VL - 50

SP - 365

EP - 370

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 2

ER -

On convergence properties of a least-distance programming procedure for minimization problems under linear constraints

Abstract

Keywords

ASJC Scopus subject areas

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