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The solvability conditions for the inverse eigenvalue problems of reflexive matrices

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成果类型:
期刊论文
作者:
Zhou, FZ*
通讯作者:
Zhou, FZ
作者机构:
[Zhou, FZ] Changsha Univ Sci & Technol, Coll Math & Computat Sci, Changsha 410076, Peoples R China.
[Zhou, FZ] Wuhan Univ, Coll Math, Wuhan 4
通讯机构:
[Zhou, FZ] C
Changsha Univ Sci & Technol, Coll Math & Computat Sci, Changsha 410076, Peoples R China.
语种:
英文
关键词:
Algorithms;Approximation theory;Computational methods;Inverse problems;Matrix algebra;Problem solving;Approximate solution;Inverse eigenvalue problem;Optimal approximation;Reflexive matrix;Eigenvalues and eigenfunctions
期刊:
Journal of Computational and Applied Mathematics
ISSN:
0377-0427
年:
2006
卷:
188
期:
2
页码:
180-189
基金类别:
Research Supported by the Natural Science Foundation of China (under Grant 10171031 and 50208004) and the Past Doctoral Foundation of China (under Grant 2004036448).
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
This paper involves related inverse eigenvalue, problems of reflexive matrices and their optimal approximation, the sufficient and necessary conditions under which the solvable problems of inverse eigenvalue, and the general provided form of the Solution. Furthermore, the algorithm to compute the optimal approximate solution and some numerical experiments are ...

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