The Least Squares Solutions of Bisymmetric Matrix for Inverse Quadratic Eigenvalue Problem
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@Article{JICS-6-035,
author = {Xiangrong Wang, Chenggang Chen, Shimin Wan, Yandong Yuan},
title = {The Least Squares Solutions of Bisymmetric Matrix for Inverse Quadratic Eigenvalue Problem},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {6},
number = {1},
pages = {035--042},
abstract = { 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
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22693.html}
}
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
Xiangrong Wang, Chenggang Chen, Shimin Wan, Yandong Yuan. (2024). The Least Squares Solutions of Bisymmetric Matrix for Inverse Quadratic Eigenvalue Problem.
Journal of Information and Computing Science. 6 (1).
035-042.
doi:
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