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A fast algorithm for nonlinearly constrained optimization calculations

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Numerical Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 630))

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References

  • Biggs, M.C. (1972) "Constrained minimization using recursive equality quadratic programming" in Numerical methods for nonlinear optimization, ed. F.A. Lootsma, Academic Press (London).

    Google Scholar 

  • Biggs, M.C. (1975) "Constrained minimization using recursive quadratic programming: some alternative subproblem formulations" in Towards global optimization, eds. L.C.W. Dixon and G.P. Szegö, North-Holland Publishing Co. (Amsterdam).

    Google Scholar 

  • Colville, A.R. (1968) "A comparative study on nonlinear programming codes", Report No. 320-2949 (IBM New York Scientific Center).

    Google Scholar 

  • Dennis, J.E. and Moré, J. (1977) "Quasi-Newton methods, motivation and theory", SIAM Review, Vol. 19, pp. 46–89.

    Article  MathSciNet  MATH  Google Scholar 

  • Fletcher, R. (1970) "A Fortran subroutine for quadratic programming", Report No. R6370 (A.E.R.E., Harwell).

    Google Scholar 

  • Fletcher, R. (1975) "An ideal penalty function for constrained optimization", J. Inst. Maths. Applics., Vol 15, pp. 319–342.

    Article  MathSciNet  MATH  Google Scholar 

  • Han, S-P. (1975) "A globally convergent method for nonlinear programming", Report No. 75-257 (Dept. of Computer Science, Cornell University).

    Google Scholar 

  • Han, S-P (1976) "Superlinearly convergent variable metric algorithms for general nonlinear programming problems", Mathematical Programming, Vol. 11, pp. 263–282.

    Article  MathSciNet  MATH  Google Scholar 

  • Powell, M.J.D. (1969) "A method for nonlinear constraints in minimization problems" in Optimization, ed. R. Fletcher, Academic Press (London).

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  • Powell, M.J.D. (1976) "Algorithms for nonlinear constraints that use Lagrangian functions", presented at the Ninth International Symposium on Mathematical Programming, Budapest.

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  • Powell, M.J.D. (1977) "The convergence of variable metric methods for nonlinearly constrained optimization calculations", presented at Nonlinear Programming Symposium 3, Madison, Wisconsin.

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  • Rosenbrock, H.H. (1960) "An automatic method for finding the greatest or the least value of a function", Computer Journal, Vol. 3, pp. 175–184.

    Article  MathSciNet  Google Scholar 

  • Sargent, R.W.H. (1974) "Reduced-gradient and projection methods for nonlinear programming" in Numerical methods for constrained optimization, eds. P.E. Gill and W. Murray, Academic Press (London).

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Authors
  1. M. J. D. Powell
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G. A. Watson

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© 1978 Springer-Verlag

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Powell, M.J.D. (1978). A fast algorithm for nonlinearly constrained optimization calculations. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 630. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067703

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  • DOI: https://doi.org/10.1007/BFb0067703

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08538-6

  • Online ISBN: 978-3-540-35972-2

  • eBook Packages: Springer Book Archive

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