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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 4, Pages 531–538
DOI: https://doi.org/10.31857/S004446692104013X (Mi zvmmf11219) 		 
General numerical methods

Finding root spaces for a linear algebraic spectral problem

L. F. Yukhno

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.31857/S004446692104013X
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.
Key words: algebraic spectral problem, eigenvectors and associated vectors, root space, Jordan basis.
Received: 06.02.2020
Revised: 10.11.2020
Accepted: 16.12.2020
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 4, Pages 505–511
DOI: https://doi.org/10.1134/S0965542521040126
Bibliographic databases:
Document Type: Article
UDC: 519.624
Language: Russian
Citation: L. F. Yukhno, “Finding root spaces for a linear algebraic spectral problem”, Zh. Vychisl. Mat. Mat. Fiz., 61:4 (2021), 531–538; Comput. Math. Math. Phys., 61:4 (2021), 505–511
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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