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# PEP_EXTRACT_NORM

Eigenvector extraction based on the norm.

## Notes

Given the eigenvector of the linearization, \(y\), the eigenvector of the polynomial eigenproblem \(x\) is obtained from the \(i\)th block for which \(|\phi_i(\lambda)|\) is maximum, where \(\phi_i\) is the \(i\)th element of the polynomial basis. In the case of the monomial basis, it will select the first or last block depending on \(|\lambda|\geq 1\) or \(|\lambda|<1\).

This is the default extraction.

## See Also

PEP: Polynomial Eigenvalue Problems, Extraction, `PEPExtract`, `PEPSetExtract()`, `PEP_EXTRACT_NONE`, `PEP_EXTRACT_RESIDUAL`, `PEP_EXTRACT_STRUCTURED`

## Level

intermediate

## Location

include/slepcpep.h

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