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Name:  
Miloslav Znojil  
Reviewer number:  
9689  
Email:  
znojil@ujf.cas.cz  
Item's zblNumber:  
DE 019 158 056  
Author(s):  
Diele, F., Sgura, I.:  
Shorttitle:  
Centrosymmetric isospectral flows and some inverse eigenvalue problems  
Source:  
Linear Algebra Appl. 366, 199214 (2003)  
Classification:  
 
Primary Classification:  
 
Secondary Classification:  
 
Keywords:  
ordinary differential equations; spectrum conserved; inverse eigenvalue problems; Toeplitz matrices; Hankel matrices; Cayley transform;  
Review:  
Some Hankel matrices may be obtained from symmetric Toeplitz ones (by Jtransformation) while, in its turn, the latter set may be visualised as asymptotics attained by solutions of certain sets of differential equations (for the so called matrix flows with the isospectrality property, known under the alternative names of Flaschka or Cayley). This is the key to the present paper: A clever choice of the initial conditions is shown (and tested) to lead to an efficient solution to some structured inverse eigenvalue problems.  
Remarks to the editors:  