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Quasi-Newton methods and their application to function minimisation. (English) Zbl 0155.46704


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[1] J. G. P. Barnes, An algorithm for solving non-linear equations based on the secant method, Comput. J. 8 (1965), 66 – 72. · Zbl 0254.65036
[2] C. G. Broyden, A class of methods for solving nonlinear simultaneous equations, Math. Comp. 19 (1965), 577 – 593. · Zbl 0131.13905
[3] W. C. Davidon, Variable Metric Methods for Minimization, A.E.C. Research and Development Report ANL-5990 , 1959.
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[5] A. M. Ostrowski, Solution of equations and systems of equations, Pure and Applied Mathematics, Vol. IX. Academic Press, New York-London, 1960. · Zbl 0115.11201
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[7] J. F. Traub, Iterative methods for the solution of equations, Prentice-Hall Series in Automatic Computation, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. · Zbl 0121.11204
[8] Philip Wolfe, “The secant method for solving nonlinear equations,” Comm. Assoc. Comput. Mach., v. 2, 1959, pp. 12-13. · Zbl 0093.13202
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