A deflation formula for tridiagonal matrices
Aplikace matematiky (1980)
- Volume: 25, Issue: 5, page 348-357
- ISSN: 0862-7940
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Abstract
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topFiedler, Miroslav. "A deflation formula for tridiagonal matrices." Aplikace matematiky 25.5 (1980): 348-357. <http://eudml.org/doc/15158>.
@article{Fiedler1980,
abstract = {An explicit formula for the deflation of a tridiagonal matrix is presented. The resulting matrix is again tridiagonal.},
author = {Fiedler, Miroslav},
journal = {Aplikace matematiky},
keywords = {deflation formula; tridiagonal matrices; deflation formula; tridiagonal matrices},
language = {eng},
number = {5},
pages = {348-357},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A deflation formula for tridiagonal matrices},
url = {http://eudml.org/doc/15158},
volume = {25},
year = {1980},
}
TY - JOUR
AU - Fiedler, Miroslav
TI - A deflation formula for tridiagonal matrices
JO - Aplikace matematiky
PY - 1980
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 25
IS - 5
SP - 348
EP - 357
AB - An explicit formula for the deflation of a tridiagonal matrix is presented. The resulting matrix is again tridiagonal.
LA - eng
KW - deflation formula; tridiagonal matrices; deflation formula; tridiagonal matrices
UR - http://eudml.org/doc/15158
ER -
References
top- J. H. Wilkinson, The algebraic eigenvalue problem, Clarendon Press, Oxford 1965. (1965) Zbl0258.65037MR0184422
- P. A. Businger, 10.1007/BF01931807, BIT 11 (1971), 262-270. (1971) Zbl0226.65028MR0293828DOI10.1007/BF01931807
- W. Gander, Stationärer Quotienten-Differenzen Algorithmus. Prozedur qdstat, In: Numerische Prozeduren aus Nachlass und Lehre von Prof. Heinz Rutishauser. ISNM Vol. 33. Birkhäuser Verlag 1977. (1977) Zbl0358.65033MR0488607
- W. Jentzsch, Über Integralgleichungen mit positivem Kern, J. für Math. 141 (1912), 235 - 244. (1912)
- M. Fiedler, Vl. Pták, On matrices with non-positive off-diagonal elements and positive principal minors, Czech. Math. J. 87 (1962), 382 - 400. (1962) MR0142565
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