Some properties on quadratic infinite programs of integral type
In this work, we investigate the properties of a class of quadratic infinite programs where the objective is a quadratic functional of integral type and the feasible region is a subset of the infinite dimensional space L p([0, 1]). We first derive a dual problem of the primal problem to demonstrate...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2007
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| Online Access: | http://hdl.handle.net/20.500.11937/36330 |
| _version_ | 1848754739034980352 |
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| author | Wan, Z. Wu, S. Teo, Kok |
| author_facet | Wan, Z. Wu, S. Teo, Kok |
| author_sort | Wan, Z. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this work, we investigate the properties of a class of quadratic infinite programs where the objective is a quadratic functional of integral type and the feasible region is a subset of the infinite dimensional space L p([0, 1]). We first derive a dual problem of the primal problem to demonstrate that there is no duality gap between them. Then we prove that the objective function depends continuously on the design function. Two existence theorems for this kind of optimization problem are presented. These theoretical results may prove useful in the design of efficient algorithms for this class of infinite programming problem. |
| first_indexed | 2025-11-14T08:45:11Z |
| format | Journal Article |
| id | curtin-20.500.11937-36330 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:45:11Z |
| publishDate | 2007 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-363302017-09-13T15:51:39Z Some properties on quadratic infinite programs of integral type Wan, Z. Wu, S. Teo, Kok In this work, we investigate the properties of a class of quadratic infinite programs where the objective is a quadratic functional of integral type and the feasible region is a subset of the infinite dimensional space L p([0, 1]). We first derive a dual problem of the primal problem to demonstrate that there is no duality gap between them. Then we prove that the objective function depends continuously on the design function. Two existence theorems for this kind of optimization problem are presented. These theoretical results may prove useful in the design of efficient algorithms for this class of infinite programming problem. 2007 Journal Article http://hdl.handle.net/20.500.11937/36330 10.1016/j.aml.2006.07.006 Elsevier unknown |
| spellingShingle | Wan, Z. Wu, S. Teo, Kok Some properties on quadratic infinite programs of integral type |
| title | Some properties on quadratic infinite programs of integral type |
| title_full | Some properties on quadratic infinite programs of integral type |
| title_fullStr | Some properties on quadratic infinite programs of integral type |
| title_full_unstemmed | Some properties on quadratic infinite programs of integral type |
| title_short | Some properties on quadratic infinite programs of integral type |
| title_sort | some properties on quadratic infinite programs of integral type |
| url | http://hdl.handle.net/20.500.11937/36330 |