Applications of the reproducing kernel theory to inverse problems and their engineering approach
Project/Area Number |
20540105
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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Research Institution | Gunma University |
Principal Investigator |
MATSUURA Tsutomu Gunma University, 大学院・工学研究科, 准教授 (80181692)
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Co-Investigator(Kenkyū-buntansha) |
SAITOH Saburou 群馬大学, 名誉教授 (10110397)
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Project Period (FY) |
2008 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
|
Keywords | 逆問題 / 再生核理論 / ラプラス実逆変換 / 正則化 |
Research Abstract |
We developed a new type of Thihonov regularization combined with the theory of reproducing kernels. Using our method of regularization we have challenged some famous and historically difficult inverse problems. Furthermore we designed concrete algorithms for solving those problems. In particular we studied real inversion of Laplace transform, solving method by singular value decomposition, representation of inverse transform of nonlinear mapping and separation of mixed signals. In addition for engineer in the field we filed a patent application of our algorithm for inversion of Laplace transform.
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Report
(4 results)
Research Products
(39 results)
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[Journal Article]2009
Author(s)
H.Fujiwara
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Journal Title
Further Progress in Analysis(World Scientific)
Pages: 574-585
Related Report
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[Journal Article]2009
Author(s)
T.Matsuura
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Journal Title
More Progresses In Analysis(World Scientific)
Pages: 191-200
Related Report
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[Journal Article]2009
Author(s)
T.Matsuura
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Journal Title
More Progresses In Analysis(World Scientific)
Pages: 1375-1384
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