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On properties of projection operators associated with convex sets Bui, Minh
Abstract
The aim of this research work is twofold. On the one hand, under mild assumptions, we give an explicit formula for projection operator associated with the intersection of a cone and a ball/sphere; nevertheless, this formula plays a role in determining copositivity of matrices. On the other hand, we provide a complete answer to the question “When is the sum of projectors a projector?,” which allows us to fill a gap in the current literature.
Item Metadata
| Title |
On properties of projection operators associated with convex sets
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2018
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| Description |
The aim of this research work is twofold. On the one hand, under mild assumptions, we give an explicit formula for projection operator associated with the intersection of a cone and a ball/sphere; nevertheless, this formula plays a role in determining copositivity of matrices. On the other hand, we
provide a complete answer to the question “When is the sum of projectors a projector?,” which allows us to fill a gap in the current literature.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2018-07-26
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0369217
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2018-09
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| Campus | |
| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International