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Nonlinear least squares and nonlinearly constrained optimization

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

Keywords

  • Jacobian Matrix
  • Search Direction
  • Lower Triangular Matrix
  • Unconstrained Minimization
  • Quadratic Penalty Function

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References

  • Brown, K.M. and Dennis, J.E. (1970) “New Computational Algorithms for Minimizing a Sum of Squares of Nonlinear Functions” Yale University Report.

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  • Gill, P.E. and Murray, W. (1974a) “Safeguarded Steplength Algorithms for Optimization using Descent Methods” NPL Report NAC 31.

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  • Gill, P.E. and Murray, W. (1974b) “Newton-type Methods for Unconstrained and Linearly Constrained Optimization” Math Prog 7, 311.

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  • Kowalik, J., Osborne, M.R. and Ryan, D.M. (1969) “A New Method for Constrained Optimization Problems”, Operations Research. 17, 973.

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  • Morrison, D.D. (1968) “Optimization by Least Squares” SIAM J. Num. Anal. 5, 83.

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  • Schmit, L.A. and Fox, R.L. (1965) “Advances in the Integrated Approach to Structural Synthesis”, AIAA 6th Ann Struct. and Mat. Conf., Palm Springs.

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© 1976 Springer-Verlag

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Gill, P.E., Murray, W. (1976). Nonlinear least squares and nonlinearly constrained optimization. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 506. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080120

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  • DOI: https://doi.org/10.1007/BFb0080120

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07610-0

  • Online ISBN: 978-3-540-38129-7

  • eBook Packages: Springer Book Archive