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


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


[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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