2013 Fiscal Year Final Research Report
Application of conic constrained semi-infinite programming to filter design and DSM communication
| Project/Area Number |
22760064
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Engineering fundamentals
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| Research Institution | Tohoku University (2013)
Kyoto University (2010-2012) |
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Principal Investigator |
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Keywords | 数理工学 / 最適化 / 半無限計画 / 錐計画 / フィルタ設計 |
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| Research Abstract |
When I first applied for this fund, the purposes of the study are to establish an efficient algorithm for semi-infinite programming problems with conic constraints, and to apply the established algorithm to real problems such as filter design, DSM communication and so on. On establishing the algorithms, we have accomplished the first purpose sufficiently. Especially, the most remarkable result is to have proposed the regularized explicit exchange method for semi-infinite conic programming problems, which was accepted for publication in SIAM Journal on Optimization. On the other hand, concerning the real application, we could not obtain sufficient results on the DSM communication. However, we applied the regularized explicit exchange method to the vector Chebyshev approximation problem, which includes the FIR filter design problems as a subclass.
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