Existence and sensitivity analysis for nonconvex cubic optimization problems. (3rd July 2022)
- Record Type:
- Journal Article
- Title:
- Existence and sensitivity analysis for nonconvex cubic optimization problems. (3rd July 2022)
- Main Title:
- Existence and sensitivity analysis for nonconvex cubic optimization problems
- Authors:
- Tam, Nguyen Nang
Nghi, Tran Van - Abstract:
- Abstract : In this paper, we propose necessary/sufficient conditions for existence of minimizers of nonconvex cubic programming problems via an Eaves type theorem. Directional differentiability of the optimal value function under total perturbation are characterized. Among our proposed assumptions, there are some weaker than the existing assumptions (applied to cubic programming).
- Is Part Of:
- Optimization. Volume 71:Number 7(2022)
- Journal:
- Optimization
- Issue:
- Volume 71:Number 7(2022)
- Issue Display:
- Volume 71, Issue 7 (2022)
- Year:
- 2022
- Volume:
- 71
- Issue:
- 7
- Issue Sort Value:
- 2022-0071-0007-0000
- Page Start:
- 1883
- Page End:
- 1906
- Publication Date:
- 2022-07-03
- Subjects:
- Cubic programming -- optimal value function -- existence -- Eaves theorem -- directional differentiability
90C30 -- 90C31 -- 90C26
Mathematical optimization -- Periodicals
519.7 - Journal URLs:
- http://www.tandfonline.com/toc/gopt20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/02331934.2020.1839069 ↗
- Languages:
- English
- ISSNs:
- 0233-1934
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6275.100000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 22282.xml