| 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)
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| 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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