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# EPS_LREP

A structured Linear Response eigenvalue problem.

## Note

The problem is formulated as \(Hx=\lambda x\), where \(H\) has the form

\[\begin{split}H_1 = \begin{bmatrix} A & B \\ -B & -A \end{bmatrix},\end{split}\]
where \(A\) and \(B\) are real symmetric. An alternative form is
\[\begin{split}H_2 = \begin{bmatrix} 0 & K \\ M & 0 \end{bmatrix},\end{split}\]
where \(K=A-B\) and \(M=A+B\).

## See Also

EPS: Eigenvalue Problem Solver, Structured Eigenvalue Problems, `EPSProblemType`, `EPSSetProblemType()`, `MatCreateLREP()`

## Level

intermediate

## Location

include/slepceps.h

Index of all EPS routines Table of Contents for all manual pages Index of all manual pages