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Construction of band matrices from spectral data. (English) Zbl 0468.15006


MSC:

15A18 Eigenvalues, singular values, and eigenvectors
65F15 Numerical computation of eigenvalues and eigenvectors of matrices
65F30 Other matrix algorithms (MSC2010)
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References:

[1] Boley, D.; Golub, G. H., Inverse eigenvalue problems for band matrices, (Lecture Notes in Mathematics, Numerical Analysis, Dundee (1977), Springer) · Zbl 0367.65023
[2] de Boor, C.; Golub, G. H., The numerically stable reconstruction of a Jacobi matrix from spectral data, Linear Algebra and Appl., 21, 245-260 (1978) · Zbl 0388.15010
[3] Davidenko, D. F., Algorithms for λ-Matrices, Soviet Math. Dokl., 1, 316-319 (1960) · Zbl 0094.31001
[4] Hald, Ole H., Inverse eigenvalue problems for Jacobi matrices, Linear Algebra and Appl., 14, 63-86 (1976) · Zbl 0328.15007
[5] Biegler-König, Friedrich, Inverse Eigenwertprobleme, Dissertation (May 1980), Bielefeld
[6] Mirsky, J., Inequalities and existence theorems in the theory of matrices, J. Math. Anal. Appl., 9, 99-118 (1964) · Zbl 0133.26202
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