On the Study of Symbolic-Numeric Computation for Algebraic Problems with Empirical Data
| Project/Area Number |
24500022
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Fundamental theory of informatics
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| Research Institution | Tokyo University of Science (2013-2014)
Tokai University (2012) |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
SHIRAYANAGI Kiyoshi 東邦大学, 理学部, 教授 (80396176)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
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| Keywords | 多項式 / 代数方程式 / 誤差 / 近似 / 摂動 / 数値数式融合計算 / 安定化理論 / 根 / 凸包構成 / 連立代数方程式 / 零点 |
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| Outline of Final Research Achievements |
We proposed highly reliable symbolic-numeric computation methods for algebraic problems with empirical data. Some main results are as follows. (1) Algorithms to compute perturbation bounds for preserving properties of solutions of a polynomial system. (2) An algorithm to compute the nearest polynomial to multiple given polynomials with a given zero. (3) A new application of stabilization techniques.
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Report
(4 results)
Research Products
(21 results)
