Abstract
For an algebraic spectral problem that is linear with respect to the spectral parameter, some numerical methods are considered to find the root space corresponding to a chosen eigenvalue. These methods make it possible to construct the root space as a whole without calculating the corresponding eigenvectors and associated vectors. The proposed algorithms are numerically stable.
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From unpublished materials by my dear teacher Aleksandr Aleksandrovich Abramov
Translated by N. Berestova
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Yukhno, L.F. Finding Root Spaces for a Linear Algebraic Spectral Problem. Comput. Math. and Math. Phys. 61, 505–511 (2021). https://doi.org/10.1134/S0965542521040126
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DOI: https://doi.org/10.1134/S0965542521040126