POINTWISE RESIDUAL METHOD FOR SOLVING PRIMAL AND DUAL ILL-POSED LINEAR PROGRAMMING PROBLEMS WITH APPROXIMATE DATA. (12th July 2020)
- Record Type:
- Journal Article
- Title:
- POINTWISE RESIDUAL METHOD FOR SOLVING PRIMAL AND DUAL ILL-POSED LINEAR PROGRAMMING PROBLEMS WITH APPROXIMATE DATA. (12th July 2020)
- Main Title:
- POINTWISE RESIDUAL METHOD FOR SOLVING PRIMAL AND DUAL ILL-POSED LINEAR PROGRAMMING PROBLEMS WITH APPROXIMATE DATA
- Authors:
- IVANITSKIY, A. Y.
EJOV, V. V.
VASILYEV, F. P. - Abstract:
- 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.
- Is Part Of:
- ANZIAM journal. Volume 62:Number 3(2021)
- Journal:
- ANZIAM journal
- Issue:
- Volume 62:Number 3(2021)
- Issue Display:
- Volume 62, Issue 3 (2021)
- Year:
- 2021
- Volume:
- 62
- Issue:
- 3
- Issue Sort Value:
- 2021-0062-0003-0000
- Page Start:
- 302
- Page End:
- 317
- Publication Date:
- 2020-07-12
- Subjects:
- 90C05
ill-posed linear programming problems, -- approximate data, -- pointwise residual method, -- primal and dual linear programming problems
510.5 - Journal URLs:
- http://journal.austms.org.au/ojs/index.php/ANZIAMJ/issue/archive ↗
http://journals.cambridge.org/action/displayJournal?jid=ANZ ↗
http://anziamj.austms.org.au ↗ - DOI:
- 10.1017/S1446181120000243 ↗
- Languages:
- English
- ISSNs:
- 1446-1811
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library STI - ELD Digital store
- Ingest File:
- 15571.xml