TY - JOUR
T1 - The Least Squares Solutions of Bisymmetric Matrix for Inverse Quadratic Eigenvalue Problem
AU - Xiangrong Wang, Chenggang Chen, Shimin Wan, Yandong Yuan
JO - Journal of Information and Computing Science
VL - 1
SP - 035
EP - 042
PY - 2024
DA - 2024/01
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22693.html
KW - problem is discussed and the expression is provided for the nearest triple matrix.  
bisymmetric matrix, matrix equation, quadratic eigenvalue, inverse problem, SVD.  

AB -  The  inverse  eigenvalue  problem  of  constructing  bisymmetric matrices  M , C  and  K  of  size  n  
for  the  quadratic  pencil 
 so  that  has  a  prescribed  subset  of  eigenvalues  and 
eigenvectors  is  discussed.  A  general  expression  of  solution  to  the  problem  is  provided.  The  set  of  such 
solutions is denoted by  S . The optimal approximation problem associated with 
 is posed, that is: to find