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Inverse eigenvalue problems for band matrices

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Numerical Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 630))

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References

  1. Harry Hochstadt, "On the construction of a Jacobi matrix from spectral data," Linear Algebra Appl. 8 (1974) 435–446.

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  2. Ole H. Hald, "Inverse eigenvalue problems for Jacobi matrices," Linear Algebra Appl. 14 (1976) 63–86.

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  3. C. de Boor and G. H. Golub, "The numerically stable reconstruction of a Jacobi matrix from spectral data," to be published in Linear Algebra Appl. (available as MRC Technical Summary Report #1727).

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  4. G. H. Golub, "Some modified matrix eigenvalue problems," SIAM Review 15 No. 2 (1973) 318–334.

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  5. G. H. Golub, "Some uses of the Lanczos algorithm in numerical linear algebra" in Topics in Numerical Analysis, John J. H. Miller (ed.) Academic Press, Inc. (1973) 173–184.

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  6. R. R. Underwood, "An iterative block Lanczos method for the solution of large sparse symmetric eigenproblems, Ph.D. dissertation, Stanford University, Stanford, California.

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  7. G. H. Golub and R. R. Underwood, "The block Lanczos method for computing eigenvalues," Proceedings of the Symposium on Mathematical Software Madison, 1977. Academic Press.

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Authors
  1. D. Boley
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  2. G. H. Golub
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G. A. Watson

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© 1978 Springer-Verlag

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Boley, D., Golub, G.H. (1978). Inverse eigenvalue problems for band matrices. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 630. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067693

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  • DOI: https://doi.org/10.1007/BFb0067693

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08538-6

  • Online ISBN: 978-3-540-35972-2

  • eBook Packages: Springer Book Archive

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