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eigenvalues of matrices or operators
1
vote
Eigenvalues of a block matrix composed of Toeplitz matrices
Introduce the projection operator $P$ such that $A=PMP$, $Q=1-P$, and $C=QMQ$. Next consider the self-energy operator $\Sigma_P(E)=PMQ(E-QMQ)^{-1}QMP$.The map $M\rightarrow PMP+\Sigma_P(E)$ relates t …
7
votes
0
answers
196
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A special eigenvalue problem
For my research I need to solve a generalised eigenvalue problem
$Ax=\lambda B x$, where $A$, $B$ are general matrices, and selectively find only eigen-pairs $\lambda, x$ such that $\lambda\in \mathbb …