Email this article Principal vectors of a nonlinear finite-dimensional eigenvalue problem
- Authors: Abramov A.A.1,2, Yukhno L.F.3,4
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Affiliations:
- Dorodnicyn Computing Center
- Moscow Institute of Physics and Technology
- Institute of Applied Mathematics
- Moscow Engineering Physics Institute (State University)
- Issue: Vol 56, No 2 (2016)
- Pages: 185-190
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178252
- DOI: https://doi.org/10.1134/S0965542516020032
- ID: 178252
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Abstract
In a finite-dimensional linear space, consider a nonlinear eigenvalue problem analytic with respect to its spectral parameter. The notion of a principal vector for such a problem is examined. For a linear eigenvalue problem, this notion is identical to the conventional definition of principal vectors. It is proved that the maximum number of linearly independent eigenvectors combined with principal (associated) vectors in the corresponding chains is equal to the multiplicity of an eigenvalue. A numerical method for constructing such chains is given.
About the authors
A. A. Abramov
Dorodnicyn Computing Center; Moscow Institute of Physics and Technology
Author for correspondence.
Email: alalabr@ccas.ru
Russian Federation, ul. Vavilova 40, Moscow, 119333; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700
L. F. Yukhno
Institute of Applied Mathematics; Moscow Engineering Physics Institute (State University)
Email: alalabr@ccas.ru
Russian Federation, Miusskaya pl. 4a, Moscow, 125047; Kashirskoe sh. 31, Moscow, 115409
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