Application of singular matrix beams in the symmetrical problem of definition of eigenvalues

Author:

Semenova Elena,Ivakin Yan,Frolova Elena,Fomina Alena,Smirnova Maria

Publisher

Centre for Evaluation in Education and Science (CEON/CEES)

Subject

Mechanical Engineering,General Engineering,Safety, Risk, Reliability and Quality,Transportation,Renewable Energy, Sustainability and the Environment,Civil and Structural Engineering

Reference19 articles.

1. Kochura, A., Podkolzina, L., Ivakin, Ya., Nidziev, I. (2013). Singular matrix beams in the generalized symmetric eigenvalue problem. SPIIRAS Proceedings, vol. 26, no. 3, 253-276, DOI: http://dx.doi. org/10.15622/sp.26.18, from http://proceedings. spiiras.nw.ru/ojs/index.php/sp/article/view/1705, accessed on 2017-09-21.;

2. Parlett, B. (1998). Symmetric eigenvalue problem. Society for Industrial and Applied Mathematics, Philadelphia, DOI: 10.1137/1.9781611971163;

3. Yousef, S. (2003). Iterative methods for sparse linear systems. Society for Industrial and Applied Mathematic, Philadelphia, DOI: 10.1137/1.9780898718003. ch4, from http://inis.jinr.ru/sl/M_Mathematics/MN_ Numerical%20methods/MNl_Numerical%20linear% 20algebra/Saad%20Iterative.pdf, accessed on 2017-09-20.;

4. Kochura, A., Podkolzina, L., Ivakin, Ya., Nidziev, I. (2014). Development of algorithm of the decision of systems linear equations with the varied parameters, using the matrix sparseness. SPIIRAS Proceedings, no. 2(33), 79-98, DOI: 10.15622/ sp.33.5, from https://readera.ru/razrabotka-algoritma- reshenija-sistem-linejnyh-uravnenij-s-variruemymi-142176937-en, accessed on 2017-08-09.;

5. Alaghband, G. (1999). Parallel sparse matrix solution and performance. Parallel Computing, vol. 21, no. 9, 1407-1430, DOI: 10.1016/0167-8191(95)00029-N;

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