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Sequential gradient-restoration algorithm for the minimization of constrained functions. Ordinary and conjugate gradient versions. (English) Zbl 0174.14403


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[1] Miele, A., andHeideman, J. C.,Mathematical Programming for Constrained Minimal Problems, Part 1, Sequential Gradient-Restoration Algorithm, Rice University, Aero-Astronautics Report No. 59, 1969. · Zbl 0182.50301
[2] Miele, A., Huang, H. Y., andHeideman, J. C.,Mathematical Programming for Constrained Minimal Problems, Part 2, Sequential Conjugate Gradient-Restoration Algorithm, Rice University, Aero-Astronautics Report No. 61, 1969. · Zbl 0182.50302
[3] Miele, A., Huang, H. Y., andCantrell, J. W.,Gradient Methods in Mathematical Programming, Part 1, Review of Previous Techniques, Rice University, Aero-Astronautics Report No. 55, 1969.
[4] Miele, A., Heideman, J. C., andDamoulakis, J. N.,The Restoration of Constraints in Holonomic and Nonholonomic Problems, Journal of Optimization Theory and Applications, Vol. 3, No. 5, 1969. · Zbl 0172.13001
[5] 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
[6] Beckman, F. S.,The Solution of Linear Equations 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.
[7] Fletcher, R., andReeves, C. M.,Function Minimization by Conjugate Gradients, Computer Journal, Vol. 7, No. 2, 1964. · Zbl 0132.11701
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