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Perturbation d’une matrice hermitienne ou normale. (Perturbation of a hermitian on normal matrix). (French) Zbl 0221.65072

MSC:
65F15 Numerical computation of eigenvalues and eigenvectors of matrices
65F99 Numerical linear algebra
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References:
[1] Chatelin-Laborde, F.: Perturbation d’une matrice hermitienne ou normale. Application au calcul des valeurs propres. Colloque d’Analyse Numérique, Super Besse (1970).
[2] Davis, C.: The rotation of eigenvectors by a perturbation. J. Math. Anal. Appl.6, 159-173 (1963). · Zbl 0115.10403
[3] Galligani, I.: A comparison of methods for computing the eigenvalues and eigenvectors of a matrix. Euratom 1968.
[4] Gavurin, M. K.: Approximate determination of proper values. Amer. Math. Soc. Transl.16, 385-388 (1960). · Zbl 0100.31901
[5] Golub, G. H.: Bounds for eigenvalues of tri-diagonal symmetric matrices computed with theLR method. Math. Comp. J.16, 438-445 (1962). · Zbl 0107.33402
[6] Householder, A. S.: The theory of matrices in numerical analysis. New York: Blaisdell Publishing Company 1964. · Zbl 0161.12101
[7] Kato, T.: On the upper and lower bounds of eigenvalues. J. Phys. Soc. Japan4, 334-339 (1949).
[8] ?: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966. · Zbl 0148.12601
[9] Wilkinson, J. H.: Rigorous error bounds for computed eigensystems. Comp. J.4, 230-241 (1961). · Zbl 0109.34504
[10] ?: The algebraic eigenvalue problem. Oxford: Clarendon Press 1965. · Zbl 0258.65037
[11] Yoshida, K.: Functional analysis. Berlin-Göttingen-Heidelberg: Springer 1965.
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