Spectral decomposition of $(\star, ε)$-palindromic matrix polynomial and its applications
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918486699147264 |
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| author | Zhao, Kang Wang, Xin Ma, Xiaoxiao |
| author_facet | Zhao, Kang Wang, Xin Ma, Xiaoxiao |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_00328 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spectral decomposition of $(\star, ε)$-palindromic matrix polynomial and its applications Zhao, Kang Wang, Xin Ma, Xiaoxiao Numerical Analysis 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. |
| title | Spectral decomposition of $(\star, ε)$-palindromic matrix polynomial and its applications |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2605.00328 |