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A family of variable-metric methods derived by variational means. (English) Zbl 0196.18002

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[1] C. G. Broyden, Quasi-Newton methods and their application to function minimisation, Math. Comp. 21 (1967), 368 – 381. · Zbl 0155.46704
[2] W. C. Davidon, Variable Metric Method for Minimization, A. E. C. Res. and Develop. Report ANL-5990 1959.
[3] William C. Davidon, Variance algorithm for minimization, Comput. J. 10 (1967/1968), 406 – 410. · Zbl 0155.19804 · doi:10.1093/comjnl/10.4.406 · doi.org
[4] R. Fletcher and M. J. D. Powell, A rapidly convergent descent method for minimization, Comput. J. 6 (1963/1964), 163 – 168. · Zbl 0132.11603 · doi:10.1093/comjnl/6.2.163 · doi.org
[5] D. Goldfarb, Sufficient conditions for the convergence of a variable metric algorithm, Optimization (Sympos., Univ. Keele, Keele, 1968) Academic Press, London, 1969, pp. 273 – 281.
[6] J. Greenstadt, Variations on variable-metric methods. (With discussion), Math. Comp. 24 (1970), 1 – 22. · Zbl 0204.49601
[7] P. Wolfe, Another Variable Metric Method, Working Paper, 1967.
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