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:
|
http://hdl.handle.net/10338.dmlcz/107764 |
. |
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 problems.to 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 |
. |