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2015 Fiscal Year Final Research Report

Theory and application on the numerical computaion for eigenvalue distribuion

Research Project

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Project/Area Number 25330033
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Statistical science
Research InstitutionTokyo University of Science

Principal Investigator

Hashiguchi Hiroki  東京理科大学, 理学部, 准教授 (50266920)

Co-Investigator(Kenkyū-buntansha) NAKAGAWA SHIGEKAZU  倉敷芸術科学大学, 産業科学技術学部, 教授 (90248203)
Co-Investigator(Renkei-kenkyūsha) YOKO (ONO YOKO)  横浜市立大学, 国際総合学部, 准教授 (60339140)
Project Period (FY) 2013-04-01 – 2016-03-31
Keywords多変量解析 / ランダム行列
Outline of Final Research Achievements

This research consider the theory of exact and/or approximate computation for the eigenvalue distribution as well as their practical applications. Several proposed methods are more efficient than the already known methods through our numerical experiments.Their methods can be extend to solve problems that we didn't consider at the first stage in the research process. Practical applications include the capacities of MIMO, uniform test in statistical directional analysis and homogeneity test of covariance matrices.

Free Research Field

統計科学

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Published: 2017-05-10  

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