Abstract

AbstractWe discuss the numerical solution of T‐even n × n polynomial eigenvalue problems and show how a small portion of the spectrum can be obtained using just 𝒪(n3) arithmetic operations. For that purpose, we apply the EVEN‐IRA algorithm proposed in [1] to a special structure‐preserving linearization. In this particular situation, the Arnolid iteration as a main part of the EVEN‐IRA algorithm can be realized very efficiently.

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