TY - JOUR
T1 - On the reduction of a complex matrix to triangular or diagonal by consimilarity
AU - T. Jiang & M. Wei
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 2
SP - 107
EP - 112
PY - 2006
DA - 2006/05
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/8019.html
KW - 
AB - 
Two $n\times n$ complex matrices $A$ and
$B$ are said to be consimilar if ${S^{-1}}A\overline S=B$ for some
nonsingular $n\times n$ complex matrix $S$. This paper, by means
of real representation of a complex matrix, studies problems of
reducing a given $n\times n$ complex matrix $A$ to triangular or
diagonal form by consimilarity, not only gives necessary and
sufficient conditions for contriangularization and
condiagonalization of a complex matrix, but also derives an
algebraic technique of reducing a matrix to triangular or diagonal
form by consimilarity.