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Bibliographic Details
Main Authors: Zhao, Kang, Wang, Xin, Ma, Xiaoxiao
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.00328
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Table of Contents:
  • This paper provides the spectral decomposition of $(\star,ε)$-palindromic quadratic matrix polynomial $P(λ)$ by a standard pair and a parameter matrix. When $J$ is assumed to be a block diagonal matrix, the parameter matrix $Γ$ has a special structure. And then the spectral decomposition is applied to solve the inverse eigenvalue problem and the eigenvalue embedding problem with no spill-over.