TY - JOUR
T1 - A Note on Generic Fiedler Matrices
AU -  L. Q. Zhao
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 2
SP - 140
EP - 146
PY - 2007
DA - 2007/05
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/8052.html
KW - 
AB - 
In this paper, we first show that a generic $ m \times n $ Fiedler
matrix may have $2^{m - n - 1}  - 1$
  kinds of factorizations which are very complicated when $m$ is much larger than
  $n$. In this work,
  two special cases are examined, one is an $m \times n$ Fiedler matrix being factored as a product of $( {m - n})$
  Fiedler matrices, the other is an $m \times ( {m - 2} )$ Fiedler matrix's factorization. Then we discuss the
   relation among the numbers of parameters of three generic $ m \times n$, $n \times p $ and $ m \times p $ Fiedler matrices,
    and obtain some useful results.