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Generalizing the LINPACK condition estimator

Part of the Lecture Notes in Mathematics book series (LNM,volume 909)

Keywords

  • Singular Value Decomposition
  • Singular Vector
  • Lower Triangular Matrix
  • Matrix Factorization Method
  • Column Pivoting

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References

  1. A.K. Cline, C.B. Moler, G.W. Stewart, and J.H. Wilkinson, “An Estimate of the Condition Number of a Matrix,” SIAM J. Numer. Anal. 16(1979) 368–375.

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  2. J.J. Dongarra, C.B. Moler, J.R. Bunch, and G.W. Stewart, LINPACK User's Guide, SIAM, Philadelphia, 1979.

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  3. G.E. Forsythe and C.B. Moler, Computer Solution of Linear Algebraic Equations, Prentice-Hall, Englewood Cliffs, 1967.

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  4. C.B. Moler, “Iterative Refinement in Floating Point”, JACM, 14, 316–327.

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  5. I. Karasalo, “A Criterion for Truncation of the OR Decomposition Algorithm for Singular Linear Least Squares Problem,” BIT 14, 1974, 156–166.

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  6. D.P. O'Leary, “Estimating Matrix Condition Numbers,” SISSC, 1, 1980, 205–209.

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  7. B. Smith et al, EISPACK Guide, Springer Verlag, New York, 1974.

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  8. A.K. Cline, “A Set of Counter Examples to the LINPACK Condition Estimator”, Manuscript, Department of Computer Science, University of Texas, 1981.

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© 1982 Springer-Verlag

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Cline, A.K., Conn, A.R., Van Loan, C.F. (1982). Generalizing the LINPACK condition estimator. In: Hennart, J.P. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 909. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092961

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  • DOI: https://doi.org/10.1007/BFb0092961

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11193-1

  • Online ISBN: 978-3-540-38986-6

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