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Huang, H. Y.

Unified approach to quadratically convergent algorithms for function minimization. (English) Zbl 0184.20202

J. Optimization Theory Appl. 5, 405-423 (1970).
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Cited in 55 Documents

Keywords:

numerical analysis
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References:

[1] Huang, H. Y.,Unified Approach to Quadratically Convergent Algorithms for Function Minimization, Rice University, Aero-Astronautics Report No. 64, 1969. · Zbl 0195.45201
[2] Hestenes, M. R., andStiefel, E.,Methods of Conjugate Gradients for Solving Linear Systems, Journal of Research of the National Bureau of Standards, Vol. 49, No. 6, 1952. · Zbl 0048.09901
[3] Fletcher, R., andReeves, C. M.,Function Minimization by Conjugate Gradients, Computer Journal, Vol. 7, No. 2, 1964. · Zbl 0132.11701
[4] Beckman, F. S.,The Solution of Linear Equation by the Conjugate Gradient Method, Mathematical Methods for Digital Computers, Edited by A. Ralston and H. S. Wilf, John Wiley and Sons, New York, 1960.
[5] Miele, A., andCantrell, J. W.,Study on a Memory Gradient Method for the Minimization of Functions, Journal of Optimization Theory and Applications, Vol. 3, No. 6, 1969. · Zbl 0165.22702
[6] Cantrell, J. W.,Relation between the Memory Gradient Method and the Fletcher-Reeves Method, Journal of Optimization Theory and Applications, Vol. 4, No. 1, 1969. · Zbl 0167.08804
[7] Davidon, W. C.,Variable Metric Method for Minimization, Argonne National Laboratory, Report No. ANL-5990, 1959. · Zbl 0752.90062
[8] Fletcher, R., andPowell, M. J. D.,A Rapidly Convergent Descent Method for Minimization, Computer Journal, Vol. 6, No. 2, 1963. · Zbl 0132.11603
[9] Pearson, J. D.,On Variable Metric Methods of Minimization, Research Analysis Corporation, Technical Paper No. RAC-TP-302, 1968.
[10] Huang, H. Y., andLevy, A. V.,Numerical Experiments on Quadratically Convergent Algorithms for Function Minimization, Rice University, Aero-Astronautics Report No. 66, 1969. · Zbl 0207.17501
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