Volume 15, Issue 1
Construction of real band anti-symmetric matrices from spectral data

Q. Yin

DOI:

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 15 (2006), pp. 12-22

Published online: 2006-02

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  • Abstract

In this paper, we describe how to construct a real anti-symmetric $(2p-1)$-band matrix with prescribed eigenvalues in its $p$ leading principal submatrices. This is done in two steps. First, an anti-symmetric matrix $B$ is constructed with the specified spectral data but not necessary a band matrix. Then B is transformed by Householder transformations to a $(2p-1)$-band matrix with the prescribed eigenvalues. An algorithm is presented. Numerical results are presented to demonstrate that the proposed method is effective.

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@Article{NM-15-12, author = { Q. Yin}, title = {Construction of real band anti-symmetric matrices from spectral data}, journal = {Numerical Mathematics, a Journal of Chinese Uniersities}, year = {2006}, volume = {15}, number = {1}, pages = {12--22}, abstract = { In this paper, we describe how to construct a real anti-symmetric $(2p-1)$-band matrix with prescribed eigenvalues in its $p$ leading principal submatrices. This is done in two steps. First, an anti-symmetric matrix $B$ is constructed with the specified spectral data but not necessary a band matrix. Then B is transformed by Householder transformations to a $(2p-1)$-band matrix with the prescribed eigenvalues. An algorithm is presented. Numerical results are presented to demonstrate that the proposed method is effective. }, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/8015.html} }
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