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Name:
Miloslav Znojil
Reviewer number:
9689
Email:
znojil@ujf.cas.cz
Item's zbl-Number:
DE 019 158 056
Author(s):
Diele, F., Sgura, I.:
Shorttitle:
Centrosymmetric isospectral flows and some inverse eigenvalue problems
Source:
Linear Algebra Appl. 366, 199-214 (2003)
Classification:
34A12Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions
Primary Classification:
65F18Inverse eigenvalue problems
Secondary Classification:
15A29Inverse problems
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
J-transformation) 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:

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