Journal ArticleDOI
The Modified Gauss-Newton Method for the Fitting of Non-Linear Regression Functions by Least Squares
Reads0
Chats0
TLDR
The experimental scientist is frequently faced with the task of determining the functional relation between a response, y and a number of inputs, x, x2,. * *, x, with the help of empirical data.Abstract:
The experimental scientist is frequently faced with the task of determining the functional relation between a 'response', y and a number of 'inputs', x , x2, . * * , x, with the help of empirical data. Often the mathematical form of the functional relation is assumed to be known and is written in the form of a 'regression function',read more
Citations
More filters
Journal ArticleDOI
Mathematical modeling applied to the growth of tilapia in net cages in the sub middle of the São Francisco river
José de Alencar de Sousa Júnior,Marlon da Silva Garrido,Paulo Gustavo Serafim de Carvalho,Luciano Gomes da Rocha,D. F. B. Campeche +4 more
TL;DR: In this paper, the authors applied mathematical models to the growth of Nile tilapia (Oreochromis niloticus) reared in net cages in the lower Sao Francisco basin and choose the model(s) that best represents the conditions of rearing for the region.
Dissertation
Determination and interpretation of earthquake source locations in Sichuan Province, China
TL;DR: Thesis (S.M. in Earth and Planetary Sciences) as discussed by the authors, Mass. Institute of Technology, Dept. of Earth, Atmospheric, and Planetary sciences, 2001, Boston, MA.
Dissertation
Caractérisation de la géométrie locale et globale de textures directionnelles par reconstruction d'hypersurfaces et transformations d'espace : application à l'analyse stratigraphique des images sismiques
TL;DR: In this paper, Fourier et al. propose reconstructions d'hypersurfaces effectuees sur des supports polygonaux quelconques, isoles ou imbriques, permettent d'obtenir des reconstructions plus pertinentes que par les methodes existantes.
Journal ArticleDOI
Fitting Nonlinear Equations with the Levenberg-Marquardt Method on Google Earth Engine
TL;DR: In this article , the authors proposed a general adaptation of the Levenberg-Marquardt (LM) method for fitting nonlinear models to a parallel processing framework and its integration into Google Earth Engine (GEE).
Journal ArticleDOI
Choice of optimum pharmacokinetic model of orally administered paracetamol.
TL;DR: The present work studies the characterization of the pharmacokinetic profile of paracetamol following oral administration of DUOROL® tablets containing 500 mg of the active compound and proposes a model for the uptake of the drug into the systemic circulation.
References
More filters
Journal ArticleDOI
A method for the solution of certain non – linear problems in least squares
TL;DR: In this article, the problem of least square problems with non-linear normal equations is solved by an extension of the standard method which insures improvement of the initial solution, which can also be considered an extension to Newton's method.
Book ChapterDOI
On the Experimental Attainment of Optimum Conditions
George E. P. Box,K. B. Wilson +1 more
TL;DR: The work described in this article is the result of a study extending over the past few years by a chemist and a statistician, which has come about mainly in answer to problems of determining optimum conditions in chemical investigations, but they believe that the methods will be of value in other fields where experimentation is sequential and the error fairly small.