The reconstruction of an hermitian toeplitz matrix with prescribed eigenpairs |
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Authors: | Zhongyun Liu Lu Chen Yulin Zhang |
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Institution: | 1.School of Mathematics and Computing Science,Changsha University of Science and Technology,Changsha,China;2.Department of Mathematics,University of Minho,Braga,Portugal |
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Abstract: | This paper concerns the reconstruction of an hermitian Toeplitz matrix with prescribed eigenpairs. Based on the fact that
every centrohermitian matrix can be reduced to a real matrix by a simple similarity transformation, the authors first consider
the eigenstructure of hermitian Toeplitz matrices and then discuss a related reconstruction problem. The authors show that
the dimension of the subspace of hermitian Toeplitz matrices with two given eigenvectors is at least two and independent of
the size of the matrix, and the solution of the reconstruction problem of an hermitian Toeplitz matrix with two given eigenpairs
is unique. |
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Keywords: | |
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