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Huang, H. Y.; Chambliss, J. P.

Numerical experiments on dual matrix algorithms for function minimization. (English) Zbl 0261.90067

J. Optimization Theory Appl. 13, 620-634 (1974).
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MSC:

90C30 Nonlinear programming
65K05 Numerical mathematical programming methods
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References:

[1] Huang, H. Y., andChambliss, J. P.,Numerical Experiments on Dual Matrix Algorithms for Function Minimization, Rice University, Aero-Astronautics Report No. 89, 1972. · Zbl 0254.65045
[2] Huang, H. Y.,Method of Dual Matrices for Function Minimization, Rice University, Aero-Astronautics Report No. 88, 1972. · Zbl 0254.65044
[3] Hestenes, M. R., andStiefel, E.,Method of Conjugate Gradients for Solving Linear Systems, Journal of Research of the National Bureau of Standards, Vol. 40, No. 6, 1952. · Zbl 0048.09901
[4] Davidon, W. C.,Variable Metric Methods for Minimization, Argonne National Laboratory, Report No. ANL-5990, 1959.
[5] Fletcher, R., andPowell, M. J. D.,A Rapidly Convergent Descent Method for Minimization, Computer Journal, Vol. 6, No. 2, 1963. · Zbl 0132.11603
[6] Fletcher, R., andReeves, C. M.,Function Minimization by Conjugate Gradients, Computer Journal, Vol. 7, No. 2, 1964. · Zbl 0132.11701
[7] Broyden, C. G.,Quasi-Newton Methods and Their Application to Function Minimization, Mathematics of Computation, Vol. 21, No. 99, 1967. · Zbl 0155.46704
[8] Pearson, J. D.,On Variable Metric Methods of Minimization, Research Analysis Corporation, Technical Report No. RAC-TP-302, 1968.
[9] Huang, H. Y.,Unified Approach to Quadratically Convergent Algorithms for Function Minimization, Journal of Optimization Theory and Applications, Vol. 5, No. 6, 1970. · Zbl 0184.20202
[10] Huang, H. Y., andLevy, A. V.,Numerical Experiments on Quadratically Convergent Algorithms for Function Minimization, Journal of Optimization Theory and Applications, Vol. 6, No. 3, 1970. · Zbl 0187.40401
[11] Rosenbrock, H. H.,An Automatic Method for Finding the Greatest or the Least Value of a Function, Computer Journal, Vol. 3, No. 3, 1960.
[12] Colville, A. R.,A Comparative Study of Nonlinear Programming Codes, IBM New York Scientific Center, TR No. 320-2949, 1968.
[13] Huang, H. Y., andChambliss, J. P.,Quadratically Convergent Algorithms and One-Dimensional Search Schemes, Journal of Optimization Theory and Applications, Vol. 11, No. 2, 1973. · Zbl 0238.65033
[14] Cragg, E. E., andLevy, A. V.,Study on a Supermemory Gradient Method for the Minimization of Functions, Journal of Optimization Theory and Applications, Vol. 4, No. 3, 1969. · Zbl 0172.19002
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