Sturm-Liouville difference equations and banded matrices

Werner Kratz

Archivum Mathematicum (2000)

  • Volume: 036, Issue: 5, page 499-505
  • ISSN: 0044-8753

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Kratz, Werner. "Sturm-Liouville difference equations and banded matrices." Archivum Mathematicum 036.5 (2000): 499-505. <http://eudml.org/doc/248528>.

@article{Kratz2000,
author = {Kratz, Werner},
journal = {Archivum Mathematicum},
keywords = {Sturm-Liouville equations; Sturmian chains; banded matrices; eigenvalue problem},
language = {eng},
number = {5},
pages = {499-505},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Sturm-Liouville difference equations and banded matrices},
url = {http://eudml.org/doc/248528},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Kratz, Werner
TI - Sturm-Liouville difference equations and banded matrices
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 5
SP - 499
EP - 505
LA - eng
KW - Sturm-Liouville equations; Sturmian chains; banded matrices; eigenvalue problem
UR - http://eudml.org/doc/248528
ER -

References

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  1. 1. M. Bohner, Zur Positivität diskreter quadratischer Funktionale, Dissertation, Ulm, (1995). (1995) 
  2. 2. M. Bohner, O. Došlý, Positivity of block tridiagonal matrices, SIAM J. Matrix Anal. Appl. 20 (1999), 182–195. (1999) MR1644495
  3. 3. M. Bohner O. Došlý, W. Kratz, An oscillation theorem for discrete eigenvalue problems, to appear. MR2052485
  4. 4. G.H. Golub, C.F. Van Loan, Matrix computations, John Hopkins University Press, Baltimore, (1983). (1983) Zbl0559.65011MR0733103
  5. 5. R.A.Horn, C.A. Johnson, Matrix analysis, Cambridge University Press, Cambridge, (1991). (1991) Zbl0729.15001
  6. 6. W. Kratz, Quadratic functionals in variational analysis and control theory, Akademie Verlag, Berlin, (1995). (1995) Zbl0842.49001MR1334092
  7. 7. W.T. Reid, Sturmian theory for ordinary differential equations, Springer Verlag, New York, (1980). (1980) Zbl0459.34001MR0606199
  8. 8. H.R. Schwarz H. Rutishauser, E. Stiefel, Numerik symmetrischer Matrizen, Teubner Verlag, Stuttgart, (1972). (1972) 
  9. 9. J.H. Wilkinson, The algebraic eigenvalue problem, Clarendon Press, Oxford, (1965). (1965) Zbl0258.65037MR0184422

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