About this paper

Appears in:
Pages: 200-203
Publication year: 2012
ISBN: 978-84-615-5563-5
ISSN: 2340-1079

Conference name: 6th International Technology, Education and Development Conference
Dates: 5-7 March, 2012
Location: Valencia, Spain

MINIMIZATION OF SCALAR FIELDS: THE NELDER-MEAD METHOD

F. Giménez-Palomares1, M.J. Marín-Fernández2

1Universitat Politècnica de Valencia (SPAIN)
2Universitat de Valencia (SPAIN)
Virtual laboratories (VL) represent valuable tools for the transmision of the scientific knowledge. In the context of the nowadays university teaching, VL offers the technical career students numerous options of self-teaching.
In this work, a new virtual laboratory has been developed by using the Graphical User Interface (GUI) of MATLAB. This interface allows the geometric description of the Nelder-Mead method for the minimization of a scalar field in R^2. The method consists in taking a triangle and in it; the greater vertex is replaced by another with a smaller value. For this purpose four operations can be done on the triangle, namely, reflection, expansion, contraction and reduction. The process is repeated over and over until convergence is reached at a point considered as minimum. This laboratory can be a valuable tool for the numerical method subject present in most of technical and scientific careers.
@InProceedings{GIMENEZPALOMARES2012MIN,
author = {Gim{\'{e}}nez-Palomares, F. and Mar{\'{i}}n-Fern{\'{a}}ndez, M.J.},
title = {MINIMIZATION OF SCALAR FIELDS: THE NELDER-MEAD METHOD},
series = {6th International Technology, Education and Development Conference},
booktitle = {INTED2012 Proceedings},
isbn = {978-84-615-5563-5},
issn = {2340-1079},
publisher = {IATED},
location = {Valencia, Spain},
month = {5-7 March, 2012},
year = {2012},
pages = {200-203}}
TY - CONF
AU - F. Giménez-Palomares AU - M.J. Marín-Fernández
TI - MINIMIZATION OF SCALAR FIELDS: THE NELDER-MEAD METHOD
SN - 978-84-615-5563-5/2340-1079
PY - 2012
Y1 - 5-7 March, 2012
CI - Valencia, Spain
JO - 6th International Technology, Education and Development Conference
JA - INTED2012 Proceedings
SP - 200
EP - 203
ER -
F. Giménez-Palomares, M.J. Marín-Fernández (2012) MINIMIZATION OF SCALAR FIELDS: THE NELDER-MEAD METHOD, INTED2012 Proceedings, pp. 200-203.
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