Study on fast and effective numerical verification algorithms in eigenvalue problems
Project/Area Number |
23560066
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Engineering fundamentals
|
Research Institution | Gifu University |
Principal Investigator |
|
Project Period (FY) |
2011-04-28 – 2016-03-31
|
Project Status |
Completed (Fiscal Year 2015)
|
Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
Keywords | 精度保証付き数値計算 / 代数リカッチ方程式 / 固有値問題 / 最小二乗問題 / 劣決定問題 / シルベスター方程式 |
Outline of Final Research Achievements |
In science and engineering, mathematical models are developed for understanding phenomena. By solving these models, forecasting unknown phenomena and designing new industrial goods are possible. These models are frequently solved by numerical computations, since solving them analytically is difficult. In general, results of numerical computations do not coincide with exact solutions, since some kinds of errors are included. In order to obtain exact conclusions from the numerical results, we need to estimate the errors and compute sets enclosing the exact solutions. The numerical verification algorithms have been developed for this purpose. In this study, we established fast and effective numerical verification algorithms in matrix eigenvalue problems and related topics.
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Report
(6 results)
Research Products
(40 results)