This is a preview of subscription content, log in via an institution to check access.
References
R. Bellmann, Introduction to Matrix Analysis, McGraw-Hill (New York, 1960).
E. Egerváry and O. Szász, Einige Extremalprobleme im Bereiche der trigonometrischen Polynome, Math. Z., 27 (1928), 641–652.
K. Fan, O. Taussky and J. Todd, Discrete analogs of inequalities of Wirtinger, Monatshefte j. Math., 59 (1955), 73–79.
Ya. L. Geronimus, Refinement of estimates of van der Corput, Visser, Fejes and Boas for the coefficients of trigonometric polynomials (Russian), Dokl. Akad. Nauk SSSR (N. S.), 63 (1948), 479–482.
R. R. Halmos, Finite-Dimensional Vector Spaces, Springer-Verlag (New York, 1974).
G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge Univ. Press, 2nd Edition (Cambridge, 1952).
L. Losonczi, On some discrete quadratic inequalities. In: W. Walter (ed.) General Inequalities, 5 (pp. 73–85), Birkhäuser Verlag (Basel-Boston, 1987).
G. V. Milovanovic and I. Z. Milovanovic, On discrete inequalities of Wirtinger's type, J. Math. Anal. Appl., 88 (1982), 378–387.
W. W. Rogosinski and G. Szegő, Extremum problems for non-negative sine polynomials, Acta Sci. Math. (Szeged), 12 (1950), 112–124.
D. E. Rutherford, Some continuant determinants arising in physics and chemistry. I, Proc. Royal Soc. Edinburgh, Sect. A, 62 (1947), 229–236.
Author information
Authors and Affiliations
Additional information
Research supported by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. 251.
Rights and permissions
About this article
Cite this article
Losonczi, L. Eigenvalues and eigenvectors of some tridiagonal matrices. Acta Math Hung 60, 309–322 (1992). https://doi.org/10.1007/BF00051649
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00051649