Spectral decomposition of $(\star ,{\epsilon }_1,{\epsilon }_2)$-structured matrix polynomials

Kang Zhao, Shifang Yuan

We provide the spectral decompositions of $(\star ,{\epsilon }_1,{\epsilon }_2)$-structured matrix polynomials $P(\lambda )$ in the unified form by a standard pair $(X,J)$ and a parameter matrix $\Gamma$. Using t…