This is a preview of subscription content, log in via an institution to check access.
Literature cited
F. R. Gantmacher and M. G. Krein, Oszillationsmatrizen, Oszillationskerne und kleine Schwingungen mechanischer Systeme, Akademie Verlag, Berlin (1960).
F. R. Gantmakher (Gantmacher), The Theory of Matrices, Vols. I and II, Chelsea, New York (1959).
F. M. Arscott, “Latent roots of tridiagonal matrices,” Proc. Edinburgh Math. Soc.,12 (1960/61), Edinburgh Math. Notes, No. 44, 5–7 (1961).
S. Friedland and A. A. Melkman, “On the eigenvalues of nonnegative Jacobi matrices,” Linear Algebra Appl.,25, 239–253 (1979).
D. M. Kotelyanskii, “On the disposition of the points of a matrix spectrum,” Ukr. Mat. Zh.,7, No. 2, 131–133 (1955).
M. Marcus and H. Minc, A Survey of Matrix Theory and Matrix Inequalities, Allyn and Bacon, Boston (1964).
M. Parodi, La Localisation des Valeurs Caracteristiques des Matrices et ses Applications, Gauthier-Villars, Paris (1959).
Ya. A. Furman, “Estimates for the bounds of the eigenvalues of real matrices of a general form,” Zh. Vychisl. Mat. Mat. Fiz.,15, No. 6, 1580–1582 (1975).
L. Mirsky, “The spread of a matrix,” Mathematika,3, 127–130 (1956).
M. G. Krein, “On the spectrum of a Jacobian form in connection with the theory of the torsional oscillations of beams,” Mat. Sb.,40, No. 4, 455–465 (1933).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 5, pp. 621–626, September–October, 1984.
Rights and permissions
About this article
Cite this article
Kukharenko, N.V. Spectral properties of Jacobi matrices. Ukr Math J 36, 464–468 (1984). https://doi.org/10.1007/BF01086771
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01086771