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Rank-one modification of the symmetric eigenproblem. (English) Zbl 0369.65007


MSC:

65F15 Numerical computation of eigenvalues and eigenvectors of matrices
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References:

[1] Bunch, J.R., Nielsen, C.P.: Updating the singular value decomposition. Numer. Math. (to appear) · Zbl 0421.65028
[2] Bunch, J.R., Rose, D.J.: Partitioning, tearing and modification of sparse linear systems. J. Math. Anal. Appl.48, 574-593 (1074) · Zbl 0294.15003
[3] Dennis, J.E., Moré, J.J.: Quasi-Newton methods, motivation and theory. SIAM Rev.19, 46-89 (1977) · Zbl 0356.65041
[4] Golub, G.H.: Some modified matrix eigenvalue problems. SIAM Rev.15, 318-334 (1973) · Zbl 0254.65027
[5] Stewart, G.W.: Introduction to matrix computations. New York: Academic Press 1973 · Zbl 0302.65021
[6] Thompson, R.C.: The behavior of eigenvalues and singular values under perturbations of restricted rank. Linear Algebra and Appl.13, 69-78 (1976) · Zbl 0343.15007
[7] Wilkinson, J.H.: The algebraic eigenvalue problem. Oxford: Clarendon Press 1965 · Zbl 0258.65037
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