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

Q. Yin

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 Universities}, 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} }
TY - JOUR T1 - Construction of real band anti-symmetric matrices from spectral data AU - Q. Yin JO - Numerical Mathematics, a Journal of Chinese Universities VL - 1 SP - 12 EP - 22 PY - 2006 DA - 2006/02 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/8015.html KW - AB - 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.
Q. Yin. (1970). Construction of real band anti-symmetric matrices from spectral data. Numerical Mathematics, a Journal of Chinese Universities. 15 (1). 12-22. doi:
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