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

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)365-370
Number of pages6
JournalJournal of Optimization Theory and Applications
Volume50
Issue number2
DOIs
StatePublished - Aug 1986
Externally publishedYes

Fingerprint

Linear Constraints
Convergence Properties
Minimization Problem
Programming
Nonlinear programming
Nonlinear Programming

Keywords

  • algorithms
  • global convergence
  • linear constraints
  • Nonlinear programming
  • pseudoconvex functions
  • quasiconvex functions

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics
  • Management Science and Operations Research

Cite this

@article{f8d3d487b4774baabcccc816efcec45d,
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 = "algorithms, global convergence, linear constraints, Nonlinear programming, pseudoconvex functions, quasiconvex functions",
author = "Guoliang Xue",
year = "1986",
month = "8",
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",
number = "2",

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

AU - Xue, Guoliang

PY - 1986/8

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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 - algorithms

KW - global convergence

KW - linear constraints

KW - Nonlinear programming

KW - pseudoconvex functions

KW - quasiconvex functions

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DO - 10.1007/BF00939279

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AN - SCOPUS:0022769206

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JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

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