The Inverse Eigenvalue Problem for Symmetric Doubly Arrow Matrices

被引：0
作者：
Wang, Kanming [1 ]
Liu, Zhibing [1 ]
Fei, Xuyun [1 ]
机构：
[1] Jiujiang Univ, Coll Sci, Jiujiang, Peoples R China
来源：
ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, PTS 1 AND 2 | 2014年 / 444-445卷
关键词：
Symmetric doubly arrow matrix; Eigenvalue; Matrix inverse eigenvalue problem;
D O I：
10.4028/www.scientific.net/AMM.0.625
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper we present a special kind of real symmetric matrices: the real symmetric doubly arrow matrices. That is, matrices which look like two arrow matrices, forward and backward, with heads against each other at the (p, p) station, 1 <= p <= n. We study a kind of inverse eigenvalue problem and give a necessary and sufficient condition for the existence of such matrices.
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页码：625 / 627
页数：3
相关论文
共 8 条
[1]   A SURVEY OF MATRIX INVERSE EIGENVALUE PROBLEMS [J].
BOLEY, D ;
GOLUB, GH .
INVERSE PROBLEMS, 1987, 3 (04) :595-622
[2]  
EGANA JC, 2000, PROYECCIONES-ANTOFAG, V19, P27, DOI DOI 10.4067/S0716-09172000000100003
[3]  
Gladwell G. M. L., 2004, Inverse Problems in Vibration
[4]   THE RECONSTRUCTION OF A TRIDIAGONAL SYSTEM FROM ITS FREQUENCY-RESPONSE AT AN INTERIOR POINT [J].
GLADWELL, GML ;
WILLMS, NB .
INVERSE PROBLEMS, 1988, 4 (04) :1013-1024
[5]  
Liu Z. B., 2010, P 9 INT C MATR THEOR, P57
[6]  
MOODY T, 2005, INVERSE EIGENVALUE P
[7]  
Pickmann H, 2009, ELECTRON J LINEAR AL, V18, P700
[8]  
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