2010 Fiscal Year Final Research Report
Analysis on polytopal structure of mathematical programs
| Project/Area Number |
20700006
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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 |
Fundamental theory of informatics
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| Research Institution | The University of Tokyo |
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Principal Investigator |
MORIYAMA Sonoko The University of Tokyo, 大学院・情報科学研究科, 准教授 (20361537)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 離散構造 |
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| Research Abstract |
A mathematical program is to optimize a given objective function under some constraints. There have been various kinds of algorithms to solve mathematical programs rapidly. While the interior-point method solves them in polynomial time, pivoting algorithms are still promising for simplicity of the algorithms. In this research, we have studied properties of orientation of pivoting graphs by analyzing polytopal structure of mathematical programs, in order to propose more effective pivoting algorithms.
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