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Title: Sturm-Liouville difference equations and banded matrices (English)
Author: Kratz, Werner
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 36
Issue: 5
Year: 2000
Pages: 499-505
Category: math
MSC: 15A18
MSC: 39A10
MSC: 39A12
MSC: 65F15
idZBL: Zbl 1072.39500
idMR: MR1822819
Date available: 2008-06-06T22:27:19Z
Last updated: 2012-05-10
Stable URL:
Reference: 1. M. Bohner: Zur Positivität diskreter quadratischer Funktionale.Dissertation, Ulm, (1995).
Reference: 2. M. Bohner, O. Došlý: Positivity of block tridiagonal matrices.SIAM J. Matrix Anal. Appl. 20 (1999), 182–195. MR 1644495
Reference: 3. M. Bohner O. Došlý, W. Kratz: An oscillation theorem for discrete eigenvalue appear. MR 2052485
Reference: 4. G.H. Golub, C.F. Van Loan: Matrix computations.John Hopkins University Press, Baltimore, (1983). Zbl 0559.65011, MR 0733103
Reference: 5. R.A.Horn, C.A. Johnson: Matrix analysis.Cambridge University Press, Cambridge, (1991). Zbl 0729.15001
Reference: 6. W. Kratz: Quadratic functionals in variational analysis and control theory.Akademie Verlag, Berlin, (1995). Zbl 0842.49001, MR 1334092
Reference: 7. W.T. Reid: Sturmian theory for ordinary differential equations.Springer Verlag, New York, (1980). Zbl 0459.34001, MR 0606199
Reference: 8. H.R. Schwarz H. Rutishauser, E. Stiefel: Numerik symmetrischer Matrizen.Teubner Verlag, Stuttgart, (1972).
Reference: 9. J.H. Wilkinson: The algebraic eigenvalue problem.Clarendon Press, Oxford, (1965). Zbl 0258.65037, MR 0184422


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