One kind of inverse eigenvalue problems with a submatrix constraint

Journal of East China Normal University(Natural Sc ›› 2010, Vol. 2010 ›› Issue (5): 27-32，5.

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One kind of inverse eigenvalue problems with a submatrix constraint

ZHAO Lin-lin, CHEN Guo-liang

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

Abstract

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

CLC Number:

O151.21

ZHAO Lin-lin;CHEN Guo-liang. One kind of inverse eigenvalue problems with a submatrix constraint[J]. Journal of East China Normal University(Natural Sc, 2010, 2010(5): 27-32，5.

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One kind of inverse eigenvalue problems with a submatrix constraint

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