Czasopismo
2022
|
Vol. 55, nr 1
|
380--386
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
In this article, some inclusion sets for eigenvalues of a matrix in the linear response eigenvalue problem (LREP) are established. It is proved that the inclusion sets are tighter than the Geršgorin-type sets. A numerical experiment shows the effectiveness of our new results.
Czasopismo
Rocznik
Tom
Strony
380--386
Opis fizyczny
Bibliogr. 11 poz., rys.
Twórcy
autor
- School of Mathematics, Zunyi Normal College, Zunyi, Guizhou 563006, P. R. China, hejunfan1@163.com
autor
- School of Mathematics, Zunyi Normal College, Zunyi, Guizhou 563006, P. R. China, yminliu@163.com
autor
- School of Mathematics, Zunyi Normal College, Zunyi, Guizhou 563006, P. R. China, lvweijob@163.com
Bibliografia
- [1] Z. Bai and R. Li, Minimization principles for the linear response eigenvalue problem, I: Theory, SIAM J. Matrix Anal. Appl. 33 (2012), no. 4, 1075–1100, DOI: https://doi.org/10.1137/110838960.
- [2] Z. Bai and R. Li, Minimization principle for linear response eigenvalue problem, II: Computation, SIAM J. Matrix Anal. Appl. 34 (2013), no. 2, 392–416, DOI: https://doi.org/10.1137/110838972.
- [3] Z. Guo, K. Chu, and W. Lin, Doubling algorithm for the discretized Bethe-Salpeter eigenvalue problem, Math. Comp. 88 (2019), 2325–2350, DOI: https://doi.org/10.1090/mcom/3398.
- [4] Z. Bai and R. Li, Minimization principles and computation for the generalized linear response eigenvalue problem, BIT Numer. Math. 54 (2014), 31–54, DOI: https://doi.org/10.1007/s10543-014-0472-6.
- [5] D. J. Thouless, Vibrational states of nuclei in the random phase approximation, Nucl. Phys. 22 (1961), 78–95, DOI: https://doi.org/10.1016/0029-5582(61)90364-9.
- [6] A. Muta, J. Iwata, Y. Hashimoto, and K. Yabana, Solving the RPA eigenvalue equation in real-space, Progress Theor. Phys. 108 (2002), no. 6, 1065–1076, DOI: https://doi.org/10.1143/PTP.108.1065.
- [7] Z. Bai, R. Li, and W. Lin, Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods, Sci. China Math. 59 (2016), 1443–1460, DOI: https://doi.org/10.1007/s11425-016-0297-1.
- [8] H. Xu and H. Zhong, Weighted Golub-Kahan-Lanczos algorithms and applications, Electron. Trans. Numer. Anal. 47 (2017), 153–178.
- [9] R. Horn and C. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, UK, 1988.
- [10] Y. Lei, W. Xu, Y. Lu, Y, Niu, and X. Gu, On the symmetric doubly stochastic inverse eigenvalue problem, Linear Algebra Appl. 445 (2014), 181–205.
- [11] G. Stewart and J. Sun, Matrix Perturbation Theory, Academic Press, New York, CA, 1990.
Uwagi
PL
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-7a02e995-2eb3-48ce-a811-7eacdcb3835f