Pointwise residual method for solving primal and dual ill-posed linear programming problems with approximate data

A. Y. Ivanitskiy; V. V. Ejov; F. P Vasilyev

doi:10.1017/S1446181120000243

Pointwise residual method for solving primal and dual ill-posed linear programming problems with approximate data

A. Y. Ivanitskiy , V. V. Ejov, F. P Vasilyev

College of Science and Engineering

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

Abstract

We propose a variation of the pointwise residual method for solving primal and dual ill-posed linear programming with approximate data, sensitive to small perturbations. The method leads to an auxiliary problem, which is also a linear programming problem. Theorems of existence and convergence of approximate solutions are established and optimal estimates of approximation of initial problem solutions are achieved.

Original language	English
Pages (from-to)	302-317
Number of pages	16
Journal	The ANZIAM Journal
Volume	62
Issue number	3
DOIs	https://doi.org/10.1017/S1446181120000243
Publication status	Published - Jul 2020

Keywords

ill-posed linear programming problems
approximate data
pointwise residual method
primal linear programming problems
dual linear programming problems

Access to Document

10.1017/S1446181120000243Licence: In Copyright

Cite this

@article{c6773a3986c146849096dbde3e09863f,

title = "Pointwise residual method for solving primal and dual ill-posed linear programming problems with approximate data",

abstract = "We propose a variation of the pointwise residual method for solving primal and dual ill-posed linear programming with approximate data, sensitive to small perturbations. The method leads to an auxiliary problem, which is also a linear programming problem. Theorems of existence and convergence of approximate solutions are established and optimal estimates of approximation of initial problem solutions are achieved.",

keywords = "ill-posed linear programming problems, approximate data, pointwise residual method, primal linear programming problems, dual linear programming problems",

author = "Ivanitskiy, {A. Y.} and Ejov, {V. V.} and Vasilyev, {F. P}",

year = "2020",

month = jul,

doi = "10.1017/S1446181120000243",

language = "English",

volume = "62",

pages = "302--317",

journal = "The ANZIAM Journal",

issn = "0334-2700",

publisher = "Australian Mathermatical Society",

number = "3",

}

TY - JOUR

T1 - Pointwise residual method for solving primal and dual ill-posed linear programming problems with approximate data

AU - Ivanitskiy , A. Y.

AU - Ejov, V. V.

AU - Vasilyev, F. P

PY - 2020/7

Y1 - 2020/7

N2 - We propose a variation of the pointwise residual method for solving primal and dual ill-posed linear programming with approximate data, sensitive to small perturbations. The method leads to an auxiliary problem, which is also a linear programming problem. Theorems of existence and convergence of approximate solutions are established and optimal estimates of approximation of initial problem solutions are achieved.

AB - We propose a variation of the pointwise residual method for solving primal and dual ill-posed linear programming with approximate data, sensitive to small perturbations. The method leads to an auxiliary problem, which is also a linear programming problem. Theorems of existence and convergence of approximate solutions are established and optimal estimates of approximation of initial problem solutions are achieved.

KW - ill-posed linear programming problems

KW - approximate data

KW - pointwise residual method

KW - primal linear programming problems

KW - dual linear programming problems

UR - http://www.scopus.com/inward/record.url?scp=85099378161&partnerID=8YFLogxK

U2 - 10.1017/S1446181120000243

DO - 10.1017/S1446181120000243

M3 - Article

VL - 62

SP - 302

EP - 317

JO - The ANZIAM Journal

JF - The ANZIAM Journal

SN - 0334-2700

IS - 3

ER -

Pointwise residual method for solving primal and dual ill-posed linear programming problems with approximate data

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this