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.