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A deflation formula for tridiagonal matrices
Applications of Mathematics, Tome 25 (1980) no. 5, pp. 348-357
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An explicit formula for the deflation of a tridiagonal matrix is presented. The resulting matrix is again tridiagonal.
An explicit formula for the deflation of a tridiagonal matrix is presented. The resulting matrix is again tridiagonal.
DOI : 10.21136/AM.1980.103869
Classification : 15A18, 65F15
Keywords: deflation formula; tridiagonal matrices 
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Fiedler, Miroslav. A deflation formula for tridiagonal matrices. Applications of Mathematics, Tome 25 (1980) no. 5, pp. 348-357. doi: 10.21136/AM.1980.103869

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[2] P. A. Businger: Numerically stable deflation of Hessenberg and symmetric tridiagonal matrices. BIT 11 (1971), 262-270. | DOI | MR | Zbl

[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. | MR | Zbl

[4] W. Jentzsch: Über Integralgleichungen mit positivem Kern. J. für Math. 141 (1912), 235 - 244.

[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

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