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The numerical solution of total lp approximation problems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1066)

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References

  1. Daniel, C. and F.S. Wood. Fitting Equations to Data, Wiley, New York (1971).

    MATH  Google Scholar 

  2. Fletcher, R.. Practical Methods of Optimization, Vol. 2 Constrained Optimization, Wiley, Chichester (1981).

    MATH  Google Scholar 

  3. Golub, G.H. and C.F. van Loan. An analysis of the total least squares problem, SIAM J. Num. Anal. 17 (1980), pp. 883–893.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Hiriart-Urruty, J.B.. Tangent cones, generalized gradients and mathematical programming in Banach spaces, Math. of O.R. 4 (1979), pp. 79–97.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Osborne, M.R. and G.A. Watson. An analysis of the total approximation problem in separable norms, and an algorithm for the total l1 problem, preprint.

    Google Scholar 

  6. Peters, G. and J.H. Wilkinson. Ax = λBx and the generalized eigenproblem, SIAM J. Num. Anal. 7 (1970), pp. 479–492.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Späth, H.. On discrete linear orthogonal Lp approximation, Z. Angew. Math. Mech. 62 (1982), pp. 354–355.

    Google Scholar 

  8. Watson, G.A.. Numerical methods for linear orthogonal Lp approximation, IMA J. Num. Anal. 2 (1982), pp. 275–287.

    CrossRef  MATH  Google Scholar 

  9. Watson, G.A.. The total approximation problem, in Approximation Theory IV, ed. L.L. Schumaker, Academic Press (to appear).

    Google Scholar 

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© 1984 Springer-Verlag

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Watson, G. (1984). The numerical solution of total lp approximation problems. In: Griffiths, D.F. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 1066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099527

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  • DOI: https://doi.org/10.1007/BFb0099527

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13344-5

  • Online ISBN: 978-3-540-38881-4

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