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A propos de l’algorithme QZ. (French) Zbl 0397.65027

MSC:
65F30 Other matrix algorithms (MSC2010)
65F15 Numerical computation of eigenvalues and eigenvectors of matrices
15A23 Factorization of matrices
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References:
[1] 1. C. LEBAUD, Contribution à Vétude de Valgorithme QR, Thèse à l’Université deRennes, 1971.
[2] 2. C. LEBAUD, Remarques sur la convergence de l’algorithme QR, Revue Française d’Informatique et de Recherche Opérationnelle, 1968. MR247756
[3] 3. MOLER, G. W. STEWART, An algorithme for generalized Matrix eigenvalue problems, S.I.A.M., J. Numer. Anal, 10, 1973. Zbl0253.65019 MR345399 · Zbl 0253.65019 · doi:10.1137/0710024
[4] 4. PARLETT, Global convergence of the basic QR algorithm for hessenberg matrices, Math. Comp., 22, 1968. Zbl0184.37602 MR247759 · Zbl 0184.37602 · doi:10.2307/2004579
[5] 5. W. G. PARLETT, POOLE, A geometric theory for the QR, LU and power iteration, S.I.A.M., J. Numer. Anal., 7, 1972. Zbl0253.65018 · Zbl 0253.65018 · doi:10.1137/0710035
[6] 6. PETERS, WILKINSON, \(Ax=\lambda Bx\) and the generalized eigenproblem, S.I.A.M., J.Numer. Anal, 7, 1970. Zbl0276.15016 · Zbl 0276.15016 · doi:10.1137/0707039
[7] 7. G. W. STEWART, On the sensitivity of the eigenvalue problem A\(x\) = \(\lambda Bx\), S.I.A.M.,J. Numer. Anal., 9, 1972. Zbl0252.65026 MR311682 · Zbl 0252.65026 · doi:10.1137/0709056
[8] 8. J. H. WILKINSON, The algebraic Eigenvalue problem, Oxford University Press, 1965. Zbl0258.65037 MR184422 · Zbl 0258.65037
[9] 9. J. H. WILKINSON, Some recent advances in numerical linear Algebra, dans < The state of the art in Numerical Analysis > , 1977. MR455326
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