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Name:

Miloslav Znojil

Reviewer number:

9689

Email:

znojil@ujf.cas.cz

Item's zbl-Number:

DE 019 166 942

Author(s):

Xie, Dongxiu; Sheng, Yanping:

Shorttitle:

Inverse eigenproblem of anti-symmetric and persymmetric matrices and its approximation.

Source:

Inverse Probl. 19, No. 1, 217 - 225 (2003)

Classification:

Primary Classification:

65F18

Inverse eigenvalue problems

Secondary Classification:

15A18

Eigenvalues, singular values, and eigenvectors

Keywords:

antisymmetric matrices; persymmetric matrices; inverse eigenproblem; the best approximation problem

Review:

Within the class AS of matrices which are anti-symmetric and
``persymmetric" (i.e., symmetric with respect to the -
Australians permitting - northeast-southwest diagonal), the
authors prove the existence and uniqueness and the expression of
the best approximant for a given matrix, with a numerical test
added. The preparatory material involves the generation of an
element of AS with a specified eigenpair. Solvability conditions
are studied and an explicit formula is provided and illustrated.

Remarks to the editors:

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