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A method for computing the generalized singular value decomposition

  • Section C Generalized Singular Values And Data Analysis
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Matrix Pencils

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 973))

University of Maryland and National Bureau of Standards. This work was supported in part by the Air Force Office of Sponsored Research under Contract No.

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References

  1. CHANDLER DAVIS AND W. M. KAHAN, The rotation of eigenvectors by a perturbation. III, SIAM J. Numer. Anal, 7 (1970), pp. 1–46.

    Article  MathSciNet  MATH  Google Scholar 

  2. J. J. DONGARRA, C. B. MOLER, J. R. BUNCH, AND G. W. STEWART, LINPACK User's Guide, Society for Industrial and Applied Mathematics, Philadelphia, 1979.

    Book  MATH  Google Scholar 

  3. G. GOLUB AND W. KAHAN, Calculating the singular values and pseudoinverse of a matrix, SIAM J. Numer. Anal., 2 (1965), pp.205–224

    MathSciNet  MATH  Google Scholar 

  4. C. C. PAIGE AND M. A. SAUNDERS, Towards a generalized singular value decomposition, SIAM J. Numer. Anal., 18 (1981), pp. 398–405.

    Article  MathSciNet  MATH  Google Scholar 

  5. H. RUTISHAUSER, The Jacobi method for real symmetric matrices, Numer. Math. 9 (1966), pp. 1–10.

    Article  MathSciNet  MATH  Google Scholar 

  6. G. W. STEWART, On the perturbation of pseudo-inverses, projections and linear least squares problems, SIAM Rev., 19 (1977), pp. 634–662.

    Article  MathSciNet  MATH  Google Scholar 

  7. CHARLES F. VAN LOAN, A general matrix eigenvalue algorithm, SIAM J Numer. Anal., 12 (1975), pp 819–834.

    Article  MathSciNet  MATH  Google Scholar 

  8. CHARLES F. VAN LOAN, Generalizing the singular value decomposition, SIAM J. Numer. Anal., 13 (1976), pp. 76–83.

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Authors

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Bo Kågström Axel Ruhe

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© 1983 Springer-Verlag

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Stewart, G. (1983). A method for computing the generalized singular value decomposition. In: Kågström, B., Ruhe, A. (eds) Matrix Pencils. Lecture Notes in Mathematics, vol 973. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062104

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  • DOI: https://doi.org/10.1007/BFb0062104

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11983-8

  • Online ISBN: 978-3-540-39447-1

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