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A deflation formula for tridiagonal matrices. (English) Zbl 0456.65018

MSC:

65F15 Numerical computation of eigenvalues and eigenvectors of matrices
15A18 Eigenvalues, singular values, and eigenvectors
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References:

[1] J. H. Wilkinson: The algebraic eigenvalue problem. Clarendon Press, Oxford 1965. · Zbl 0258.65037
[2] P. A. Businger: Numerically stable deflation of Hessenberg and symmetric tridiagonal matrices. BIT 11 (1971), 262-270. · Zbl 0226.65028
[3] W. Gander: Stationärer Quotienten-Differenzen Algorithmus. Prozedur qdstat. Numerische Prozeduren aus Nachlass und Lehre von Prof. Heinz Rutishauser. ISNM Vol. 33. Birkhäuser Verlag 1977. · Zbl 0358.65033
[4] W. Jentzsch: Über Integralgleichungen mit positivem Kern. J. für Math. 141 (1912), 235 - 244. · JFM 43.0429.01
[5] M. Fiedler, Vl. Pták: On matrices with non-positive off-diagonal elements and positive principal minors. Czech. Math. J. 87 (1962), 382 - 400. · Zbl 0131.24806
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