Linking Nelder–Mead Simplex Direct Search Method into Two-Stage Progressive Optimality Algorithm for Optimal Operation of Cascade Hydropower Reservoirs

2020 ◽  
Vol 146 (5) ◽  
pp. 04020019 ◽  
Author(s):  
Zhong-kai Feng ◽  
Wen-jing Niu ◽  
Jian-zhong Zhou ◽  
Chun-tian Cheng
Keyword(s):  
Optimal Operation ◽  
Direct Search ◽  
Search Method ◽  
Two Stage ◽  
Direct Search Method ◽  
Optimality Algorithm ◽  
Hydropower Reservoirs

scholarly journals A Frame-Based Conjugate Gradients Direct Search Method with Radial Basis Function Interpolation Model

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Xiaowei Fang ◽  
Qin Ni
Keyword(s):  
Radial Basis Function ◽  
Basis Function ◽  
Direct Search ◽  
Search Method ◽  
Conjugate Gradients ◽  
Test Problems ◽  
Interpolation Model ◽  
Direct Search Method ◽  
Radial Basis Function Interpolation ◽  
Radial Basis

In this paper, we propose a new hybrid direct search method where a frame-based PRP conjugate gradients direct search algorithm is combined with radial basis function interpolation model. In addition, the rotational minimal positive basis is used to reduce the computation work at each iteration. Numerical results for solving the CUTEr test problems show that the proposed method is promising.

A direct-search method for the computer design of holograms

1996 ◽  
Vol 124 (1-2) ◽  
pp. 150-164 ◽  
Author(s):  
Matthew Clark ◽  
Robin Smith
Keyword(s):  
Direct Search ◽  
Search Method ◽  
Computer Design ◽  
Direct Search Method

Visual and Automatic Spectral Analysis Using a Small Digital Computer

1975 ◽  
Vol 29 (6) ◽  
pp. 493-496 ◽  
Author(s):  
J. W. Akitt
Keyword(s):  
Raman Spectroscopy ◽  
Spectral Analysis ◽  
Fourier Transform ◽  
Digital Computer ◽  
Fourier Transform Spectroscopy ◽  
Direct Search ◽  
Search Method ◽  
Small Computer ◽  
Quadrupolar Nuclei ◽  
Direct Search Method

A small computer, forming part of an NMR Fourier transform spectroscopy installation, has been programmed to analyze spectra consisting of overlapping lines such as are obtained from quadrupolar nuclei or in Raman spectroscopy. A rough visual fit to the data, which is displayed on an oscilloscope, is obtained by manual insertion of parameters and the fit is refined automatically using a sequential direct search method, thus eliminating the tedious stage of manual refinement. The equipment has proved easy and convenient to use.

scholarly journals Nonlinear fitting of multi-compartmental data using Hooke and Jeeves direct search method

Open Physics ◽  
2021 ◽  
Vol 19 (1) ◽  
pp. 277-280
Author(s):  
Mehrdad Shahmohammadi Beni ◽  
Kwan Ngok Yu
Keyword(s):  
Compartmental Model ◽  
Present Model ◽  
Direct Search ◽  
Search Method ◽  
Applied Physics ◽  
Compartmental Modelling ◽  
Direct Search Method ◽  
Transfer Rates ◽  
Nonlinear Fitting ◽  
Derivative Free

Abstract Compartmental modelling refers to modelling the transport of substances in a system consisting of multiple compartments, which is characterized by the transfer rates among the relevant compartments. In a generalized compartmental system, recycling of substances among the compartments is allowed. Compartmental modelling is a generic technique which is needed in many branches of applied physics. The most challenging task is to determine the transfer rates. The present work described the use of the Hooke and Jeeves (HJ) derivative free direct search method in determining the transfer rates to construct a multi-compartmental model with recycling among the compartments. The use of a direct search method ensures the applicability of the model to functions which are not continuous or differentiable. The present model was successfully validated using previously reported experimental data for distribution of trace elements in four compartments in an animal.

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