Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Boggs, P. T. and Tolle, J. W., “Augmented Lagrangians Which are Quadratic in the Multiplier”, Journal of Optimization Theory and Applications, Vol. 31, 1980, pp. 17–26.
Boggs, P. T., Tolle, J. W. and Wang, P., “On the Local Convergence of Quasi-Newton Methods for Constrained Optimization”, to appear in SIAM Journal on Control and Optimization.
Boggs, P. T. and Tolle, J. W., “An Implementation of a Quasi-Newton Method for Constrained Optimization”, Operations Research and Systems Analysis Technical Report No. 81-3, University of North Carolina, Chapel Hill, NC, 1981.
Chamberlain, R. M., Lemarechal, E., Pedersen, H.C. and Powell, M.J.D., “The Watchdog Technique for Forcing Convergence in Algorithms for Constrained Optimization”, Tenth International Symposium on Mathematical Programming, August, 1979.
Dennis, J. and Moré, J., “Quasi-Newton Methods, Motivation and Theory”, SIAM Review, Vol. 19, 1977, 46–89.
Fletcher, R., “A Class of Methods for Nonlinear Programming, III: Rates of Convergence”, Numerical Methods for Nonlinear Optimization, Edited by F. A. Lootsma, Academic Press, New York, New York, 1972.
Han, S. P., “A Globally Convergent Method for Nonlinear Programming”, Journal of Optimization Theory and Applicatons, Vol. 22, 1977, pp. 297–309.
Han, S. P., “Dual Variable Metric Algorithms for Constrained Optimization”, SIAM Journal on Control and Optimization, Vol. 15, 1977, 546–565.
Powell, M.J.D., “A Fast Algorithm for Nonlinearly Constrained Optimization Calculations”, 1977 Dundee Conference on Numerical Analysis, June 1977.
Powell, M.J.D., “The Convergence of Variable Metric Methods for Nonlinearly Constrained Optimization Calculations”, Nonlinear Programming 3, O. Mangasarian, R. Meyer, and S. Robinson, eds., Academic Press, New York, 1978, pp. 27–63.
Tapia, R. A., “Diagonalized Multiplier Methods and Quasi-Newton Methods for Constrained Optimization”, Journal of Optimization Theory and Applications, Vol. 22, 1977, 135–194.
Tapia, R. A., “Quasi-Newton Methods for Equality Constrained Optimization: Equivalence of Existing Methods and a New Implementation”, Nonlinear Programming 3, O. Mangasarian, R. Meyer, S. Robinson eds., Academic Press, New York, 1978, pp. 125–164.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
Boggs, P.T., Tolle, J.W. (1982). Merit functions for nonlinear programming problems. In: Hennart, J.P. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 909. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092955
Download citation
DOI: https://doi.org/10.1007/BFb0092955
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11193-1
Online ISBN: 978-3-540-38986-6
eBook Packages: Springer Book Archive