| Title:
|
A deflation formula for tridiagonal matrices (English) |
| Author:
|
Fiedler, Miroslav |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
25 |
| Issue:
|
5 |
| Year:
|
1980 |
| Pages:
|
348-357 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
An explicit formula for the deflation of a tridiagonal matrix is presented. The resulting matrix is again tridiagonal. (English) |
| Keyword:
|
deflation formula |
| Keyword:
|
tridiagonal matrices |
| MSC:
|
15A18 |
| MSC:
|
65F15 |
| idZBL:
|
Zbl 0456.65018 |
| idMR:
|
MR0590488 |
| DOI:
|
10.21136/AM.1980.103869 |
| . |
| Date available:
|
2008-05-20T18:15:01Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103869 |
| . |
| Reference:
|
[1] J. H. Wilkinson: The algebraic eigenvalue problem.Clarendon Press, Oxford 1965. Zbl 0258.65037, MR 0184422 |
| Reference:
|
[2] P. A. Businger: Numerically stable deflation of Hessenberg and symmetric tridiagonal matrices.BIT 11 (1971), 262-270. Zbl 0226.65028, MR 0293828, 10.1007/BF01931807 |
| Reference:
|
[3] 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. Zbl 0358.65033, MR 0488607 |
| Reference:
|
[4] W. Jentzsch: Über Integralgleichungen mit positivem Kern.J. für Math. 141 (1912), 235 - 244. |
| Reference:
|
[5] M. Fiedler, Vl. Pták: On matrices with non-positive off-diagonal elements and positive principal minors.Czech. Math. J. 87 (1962), 382 - 400. MR 0142565 |
| . |
