| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Research Abstract |
The results of this research are summarized as follows:
(1) Some new results on the characterization of multi-spherical Euclidean distance matrices were derived.
(2) The authors showed that if the eigenvalues of a centered positive semidefinite matrix majorizes those of another centered positive semidefinite matrix, then the same inequality holds for the eigenvalues of the corresponding two Euclidean distance matrices.
(3) The authors investigated some properties of cell matrices, which are special Euclidean distance matrices.
(4) The authors derived some new results on the linear subspace in which a set of principal points of a multivariate mixture distribution.
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