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Nelder–Mead method

Known as: Amoeba simplex, Downhill simplex method, Nelder-Mead 
The Nelder–Mead method or downhill simplex method or amoeba method is a commonly applied numerical method used to find the minimum or maximum of an… Expand
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Highly Cited
2012
Highly Cited
2012
In this paper, we first prove that the expansion and contraction steps of the Nelder-Mead simplex algorithm possess a descent… Expand
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Highly Cited
2011
Highly Cited
2011
The linear form of the Muskingum model has been widely applied to river flood routing. However, a nonlinear relationship between… Expand
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Highly Cited
2009
Highly Cited
2009
A plurality of subsidiary transport paths are disposed crossing a main transport path, for transferring a workpiece. A stocker is… Expand
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Highly Cited
2009
Highly Cited
2009
Constrained optimization problems are very important in that they frequently appear in the real world. A constrained optimization… Expand
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Highly Cited
2006
Highly Cited
2006
The effect of dimensionality on the widely used Nelder–Mead simplex method for unconstrained optimization is investigated. It is… Expand
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Highly Cited
2003
Highly Cited
2003
Abstract A hybrid method combining two algorithms is proposed for the global optimization of multiminima functions. To localize a… Expand
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Highly Cited
1998
Highly Cited
1998
The Nelder--Mead simplex algorithm, first published in 1965, is an enormously popular direct search method for multidimensional… Expand
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Highly Cited
1998
Highly Cited
1998
This paper analyzes the behavior of the Nelder--Mead simplex method for a family of examples which cause the method to converge… Expand
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Highly Cited
1985
Highly Cited
1985
Abstract : In this paper we describe the Nelder-Mead simplex method for obtaining the minimizer of a function. The Nelder-Mead… Expand
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Highly Cited
1965
Highly Cited
1965
A method is described for the minimization of a function of n variables, which depends on the comparison of function values at… Expand
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