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Row elimination for solving sparse linear systems and least squares problems

Part of the Lecture Notes in Mathematics book series (LNM,volume 506)

Keywords

  • Sparse Linear System
  • Triangular Decomposition
  • Augmented Matrix
  • Paging Strategy
  • Familiar Process

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References

  1. Gentleman, W. M., “Least Squares Computations by Givens Transformations Without Square Roots”, JIMA, 12 (1973), pp. 329–336.

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  2. Gentleman, W. M., “Error Analysis of QR Decomposition by Givens Transformations”, Linear Algebra and its Applications, to appear.

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  3. Hammarling, S., “A Note on Modifications to the Givens Plane Rotation”, JIMA 13, (1974), No.2, pp. 215–218.

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  4. Lawson, C. L. and Hanson, R. J., “Solving Least Squares Problems”, Prentice-Hall, 1974.

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  5. Modern Computing Methods, Notes on Applied Science, No. 16, National Physical Laboratory, London 1961.

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  6. Rogers, L. D., “Optimal Paging Strategies and Stability Considerations for Solving Large Linear Systems”, Ph.D. Thesis, University of Waterloo, 1973.

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  7. Wilkinson, J. H., “The Algebraic Eigenvalue Problem,” London, Oxford University Press, 1965.

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© 1976 Springer-Verlag

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Gentleman, W.M. (1976). Row elimination for solving sparse linear systems and least squares problems. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 506. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080119

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  • DOI: https://doi.org/10.1007/BFb0080119

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07610-0

  • Online ISBN: 978-3-540-38129-7

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