@Article{NM-15-107, author = {T. Jiang and M. Wei}, title = {On the reduction of a complex matrix to triangular or diagonal by consimilarity}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2006}, volume = {15}, number = {2}, pages = {107--112}, abstract = { 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. }, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/8019.html} }