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Analysis of a new algorithm for one-dimensional minimization. (English) Zbl 0401.65041

MSC:
65K10 Numerical optimization and variational techniques
Software:
MACSYMA
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References:
[1] Davidon, W.: Optimization by non-linear scaling. Institutt for Teoretisk Fysikk, Trondheim NTH, Norway. · Zbl 0328.90055
[2] Ortega, J., Rheinboldt, W.: Iterative solution of nonlinear equations in several variables. Ch. 9. Academic Press 1970. · Zbl 0241.65046
[3] Gill, P., Murray, W.: Safeguarded steplength algorithms for optimization using descent methods. NPL Report NAC 37, August 1974.
[4] MACSYMA, Reference Manual. Version 9, July 1977. The Mathlab Group, Laboratory for Computer Science, MIT.
[5] Tamir, A.: Rates of convergence of a one-dimensional search based on interpolating polynomials, #143. The Center for Mathematical Studies in Economics and Management Science, Northwestern University, May 1975.
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