Inverse eigenvalue problems for band matrices

  • D. Boley
  • G. H. Golub
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 630)


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  1. [1]
    Harry Hochstadt, "On the construction of a Jacobi matrix from spectral data," Linear Algebra Appl. 8 (1974) 435–446.MathSciNetCrossRefMATHGoogle Scholar
  2. [2]
    Ole H. Hald, "Inverse eigenvalue problems for Jacobi matrices," Linear Algebra Appl. 14 (1976) 63–86.MathSciNetCrossRefMATHGoogle Scholar
  3. [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).Google Scholar
  4. [4]
    G. H. Golub, "Some modified matrix eigenvalue problems," SIAM Review 15 No. 2 (1973) 318–334.MathSciNetCrossRefMATHGoogle Scholar
  5. [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.Google Scholar
  6. [6]
    R. R. Underwood, "An iterative block Lanczos method for the solution of large sparse symmetric eigenproblems, Ph.D. dissertation, Stanford University, Stanford, California.Google Scholar
  7. [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.Google Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • D. Boley
  • G. H. Golub

There are no affiliations available

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