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- W2129885352 abstract "We consider the quadratic eigenvalue problem (QEP) (λ2M+λG+K)x=0, where M=MT is positive definite, K=KT is negative definite, and G=−GT. The eigenvalues of the QEP occur in quadruplets (λ,λ,−λ,−λ) or in real or purely imaginary pairs (λ,−λ). We show that all eigenvalues of the QEP can be found efficiently and with the correct symmetry, by finding a proper solvent X of the matrix equation MX2+GX+K=0, as long as the QEP has no eigenvalues on the imaginary axis. This solvent approach works well also for some cases where the QEP has eigenvalues on the imaginary axis." @default.
- W2129885352 created "2016-06-24" @default.
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- W2129885352 date "2004-07-01" @default.
- W2129885352 modified "2023-09-23" @default.
- W2129885352 title "Numerical solution of a quadratic eigenvalue problem" @default.
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- W2129885352 doi "https://doi.org/10.1016/j.laa.2003.12.010" @default.
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