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.
Gill, P.E. and Murray, W. (1974a) “Safeguarded Steplength Algorithms for Optimization using Descent Methods” NPL Report NAC 31.
Gill, P.E. and Murray, W. (1974b) “Newton-type Methods for Unconstrained and Linearly Constrained Optimization” Math Prog 7, 311.
Kowalik, J., Osborne, M.R. and Ryan, D.M. (1969) “A New Method for Constrained Optimization Problems”, Operations Research. 17, 973.
Morrison, D.D. (1968) “Optimization by Least Squares” SIAM J. Num. Anal. 5, 83.
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
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