华东师范大学学报(自然科学版) ›› 2010, Vol. 2010 ›› Issue (5): 27-32，5.

• 应用数学与基础数学 • 上一篇    下一篇

子矩阵约束下的一类特征值反问题

赵琳琳, 陈果良   

  1. 华东师范大学 数学系, 上海 200241
  • 收稿日期:2009-12-01 修回日期:2010-04-01 出版日期:2010-09-25 发布日期:2010-09-25
  • 通讯作者: 陈果良

One kind of inverse eigenvalue problems with a submatrix constraint

ZHAO Lin-lin, CHEN Guo-liang   

  1. Department of Mathematics, East China Normal University, Shanghai 200241, China
  • Received:2009-12-01 Revised:2010-04-01 Online:2010-09-25 Published:2010-09-25
  • Contact: CHEN Guo-liang

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摘要： 研究了子矩阵约束下反自反矩阵的逆特征值问题. 利用矩阵的分解, 建立了子矩阵约束下反自反矩阵的逆特征值问题有解的充要条件, 得到了解的一般表达式.

关键词: 反自反矩阵, 特征值反问题, 矩阵范数, 反自反矩阵, 特征值反问题, 矩阵范数

Abstract: In this paper, the inverse eigenvalue problem of anti-reflexive matrices with a submatrix constraint was discussed. The sufficient and necessary conditions under which the problem was solvable were obtained by using the matrix decompositions, and the general expression of the solution was given.

Key words: inverse eigenvalue problem, matrix norm, anti-reflexive matrix, inverse eigenvalue problem, matrix norm

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