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Journal Articles Journal of Computational and Applied Mathematics Year : 2023

A note on the computation of invariant pairs of quadratic matrix polynomials

Abstract

An algorithm is proposed for the computation of invariant pairs of quadratic matrix polynomials associated with the eigenvalues inside a given circle in the complex plane. The invariant pair of interest is derived from an SVD of the spectral projector of a linearization of the quadratic matrix polynomial which is computed from two matrix integrals by a spectral dichotomy-type approach. The performance of the method is illustrated by numerical experiments.
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Dates and versions

hal-04306771 , version 1 (25-11-2023)

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Miloud Sadkane. A note on the computation of invariant pairs of quadratic matrix polynomials. Journal of Computational and Applied Mathematics, 2023, 434, pp.115334. ⟨10.1016/j.cam.2023.115334⟩. ⟨hal-04306771⟩
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