Big Chemical Encyclopedia

Chemical substances, components, reactions, process design ...

Articles Figures Tables About

Gauss-Newton method, nonlinear least-squares

Kinetic curves were analyzed and the further correlations were determined with a nonlinear least-square-method PC program, working with the Gauss-Newton method. [Pg.265]

Least-squares methods are usually used for fitting a model to experimental data. They may be used for functions consisting of square sums of nonlinear functions. The well-known Gauss-Newton method often leads to instabilities in the minimization process since the steps are too large. The Marquardt algorithm [9 1 is better in this respect but it is computationally expensive. [Pg.47]

In general, the error e tic-q-i+j, 0) is a non-linear function of the parameter vector 0. Therefore, the above problem is a well-known nonlinear least squares problem (NLSP) that may be solved by various optimisation algorithms such as the Levenberg-Marquardt algorithm [2], the quasi-Newton method or the Gauss-Newton (GN) algorithm [3]. [Pg.124]

Linear and nonlinear regression analyses, including least squares, estimated vector of parameters, method of steepest descent, Gauss-Newton method, Marquardt Method, Newton Method,... [Pg.530]

Least squares multiple nonlinear regression using the Marquardt and Gauss-Newton methods. The program can fit simultaneous ordinary differential equations and/or algebraic equations to multiresponse data. [Pg.568]


See other pages where Gauss-Newton method, nonlinear least-squares is mentioned: [Pg.135]    [Pg.179]    [Pg.198]    [Pg.94]    [Pg.156]    [Pg.200]    [Pg.397]    [Pg.1108]    [Pg.489]   


SEARCH



Gauss

Gauss-Newton

Gauss-Newton method

Least-squared method

Least-squares method

Least-squares method nonlinear

Newton method

Newton-Gauss nonlinear least-squares

Nonlinear Gauss-Newton method

Nonlinear methods

© 2024 chempedia.info