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Error bounds for computed eigenvalues and eigenvectors. II. (English) Zbl 0491.65021


MSC:

65F15 Numerical computation of eigenvalues and eigenvectors of matrices

Keywords:

error bounds
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References:

[1] Anselone, P.M., Rall, L.B.: The solution of characteristic value-vector problems by Newton’s method. Numer. Math.11, 38-45 (1968) · Zbl 0162.46602 · doi:10.1007/BF02165469
[2] Kantorovich, L.V.: Functional analysis and applied mathematics. Uspehi Mat. Nauk.3, 89-185 (1948) (Tranlated by C.D. Benster, Natl. Bur. Std. Rept. No. 1509, Washington, 1952) · Zbl 0034.21203
[3] Peters, G., Wilkinson, J.H.: Inverse iteration, ill-conditioned equations and Newton’s method. SIAM Rev.21, 339-360 (1979) · Zbl 0424.65021 · doi:10.1137/1021052
[4] Rall, L.B.: Computational solution of nonlinear operator equations. New York: John Wiley and Sons. Inc., 1969 · Zbl 0175.15804
[5] Symm, H.J., Wilkinson, J.H.: Realistic error bounds for a simple eigenvalue and its associated eigenvector. Numer. Math.35, 113-126 (1980) · Zbl 0447.65015 · doi:10.1007/BF01396310
[6] Yamamoto, T.: Error bounds for computed eigenvalues and eigenvectors. Numer. Math.34, 189-199 (1980) · Zbl 0411.65022 · doi:10.1007/BF01396059
[7] Yamamoto, T.: Componentwise error estimates for approximate solutions of systems of equations. Lecture Notes in Num. Appl. Anal.3, 1-22 (1981)
[8] Yamamoto, T.: Error bounds for approximate solutions of systems of equations, preprint · Zbl 0571.65035
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