Development of a practical algorithm to solve polynomial systems with parameters
Project/Area Number |
20500013
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Fundamental theory of informatics
|
Research Institution | Kobe University |
Principal Investigator |
SUZUKI Akira Kobe University, 情報科学研究科, 研究員 (50330519)
|
Co-Investigator(Renkei-kenkyūsha) |
SATO Yosuke 東京理科大学, 理学部・第一部, 教授 (50257820)
|
Project Period (FY) |
2008 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
Keywords | アルゴリズム理論 / グレブナー基底 / アルゴリズム / 媒介変数 / 代数学 |
Research Abstract |
We can use Groebner basis in order to solve (non-liner) polynomial systems. If the systems contain parameters, the situation becomes extremely harder to solve them. We aimed to develop practical algorithm for such problem, and we provide several tools for them.
|
Report
(4 results)
Research Products
(18 results)