Nonlinear Least Squares Fitting
The function LMFsolve.m serves for finding optimal solution of an overdetermined system of nonlinear equations in the least-squares sense. The standard Levenberg- Marquardt algorithm was modified by Fletcher and coded in FORTRAN many years ago. LMFsolve is its essentially shortened version...
Platforms: Matlab
License: Freeware | Size: 10 KB | Download (45): LMFsolve.m: Levenberg-Marquardt-Fletcher algorithm for nonlinear least squares problems Download |
The function The LMFnlsq.m serves for finding optimal solution of an overdetermined system of nonlinear equations in the least-squares sense. The standard Levenberg- Marquardt algorithm was modified by Fletcher and coded in FORTRAN many years ago (see the Reference). This version of LMFnlsq is...
Platforms: Matlab
License: Freeware | Size: 870.4 KB | Download (46): LMFnlsq - Solution of nonlinear least squares Download |
Constructs discrete least-squares rational approximations to data using the full-Newton algorithm for solving separable non-linear least-squares problems that was developed in:Carlos F. Borges, A Full-Newton Approach to Separable Nonlinear Least Squares Problems and its Application to Discrete...
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (42): Discrete Least-Squares Rational Approximation Download |
Demonstration of least squares data fitting using both inverse and backslash operators.This example was developed for use in teaching modeling, simulation, and optimization in graduate engineering courses. A corresponding video is available at:
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (44): Least Squares Data Fitting in MATLAB Download |
FitChiTool provides an interface similar to the Curve Fitting Toolbox to the fitChiSquare function.This allows you to perform fits using chi-square when measurement errors are known on linear or nonlinear models. It allows allows you to perform fits with multiple independent (more than one x)...
Platforms: Matlab
License: Freeware | Size: 225.28 KB | Download (46): GUI for Generalized Nonlinear Non-analytic Chi-Square Fitting Download |
The problem of fitting a straight line to data with uncertainties in both coordinates is solved using a weighted total least-squares algorithm. The parameters are transformed from the usual slope/y-axis intersection pair to slope angle and distance to the origin. The advantages of this are that...
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (41): weighted total least squares straight line fit Download |
The problem of fitting a straight line to data with uncertainties in both coordinates is solved using a weighted total least-squares algorithm. The parameters are transformed from the usual slope/y-axis intersection pair to slope angle and distance to the origin. The advantages of this are that...
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (39): weighted total least squares for mutually correlated coordinates Download |
Very limited application of least squares. It gives you the plotted curves of original and plotted data with the equation in polynomial form. you can also evaluate that polynomial at different points for prediction.note:1.it would be best viewed on 1024x768.2. if you copy and paste data in data...
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 163.84 KB | Download (44): Least Squares Curve Fitting Download |
We present a Matlab toolbox which can solve basic problems related to the Total Least Squares (TLS) method in the modeling. By illustrative examples we show how to use the TLS method for solution of:- linear regression model- nonlinear regression model- fitting data in 3D space- identification of...
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (44): Total Least Squares Method Download |
OLS - Orthogonal Least Squares: Proposed by T. Blumensath, M. E. DaviesStOLS - Stagewise OLS: Combining StOMP ideas with OLSROLS - Regularized OLS: Combining ROMP ideas with OLS
Platforms: Matlab
License: Freeware | Size: 10 KB | Download (51): Orthogonal Least Squares Algorithms for Sparse Signal Reconstruction Download |
This example solves a complex curve fitting problem that involves parameter pooling and stratification using a nonlinear least-squares approach. This example also takes advantage of some new language features with MATLAB 7. * Anonymous functions * Nested functions
Platforms: Matlab
License: Freeware | Size: 51.2 KB | Download (42): AdvCurveFit Download |
Like the finite difference method, the Taylor Series Least Squares method can be used to estimate derivatives. The TLS technique can be used to estimate derivatives from scattered or unstructured data. The Hermite Taylor Series Least Squares technique augments the TLS approach with information...
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (52): Constrained Hermite Taylor Series Least Squares Download |
This package contains a set of tools that allows to deform in real-time points and images using the Moving Least Squares algorithms. This is a fast technique to get good image deformations without using the computational expansive techniques provided by the thin-plates splines algorithms. The...
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 1.13 MB | Download (40): Moving Least Squares Download |
ORTHLLS2D returns the Orthogonal Linear Least Squares estimate for parameters of line a x + b y + c = 0function f = OrthLLS2D(x, y)Inputs x and y must be real vectors of equal size.Output f is the real vector [a b c] where a, b and c are the estimated parameters of the linear equation.Since a...
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (42): Analytical solution for Orthogonal Linear Least Squares in two dimensions Download |
This function calculates the minimum-norm solution of the least squares problem A*X = B. Where A is low-rank matrix. The function LSMIN is faster then the matlab alternative X = pinv(A)*B. Uses the LAPACK functions (S,C,D,Z)EGLSS or (S,C,D,Z)EGLSD.
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (40): Least squares with minimum-norm solution Download |
BestCurFit calculates the parameters of 12 curves using the method of Linear Least Squares, fitting each curve to user data. The nonlinear equations are linearized. The obtained parameters are used for following optimization procedure using Simplex and Gauss-Newton algorithm. If it does not...
Platforms: Windows
License: Freeware | Size: 1.81 MB | Download (52): BestCurFit Download |
The DynaFit application was developed to perform nonlinear least-squares regression of chemical kinetic, enzyme kinetic, or ligand-receptor binding data. The experimental data can be either initial reaction velocities in dependence on the concentration of varied species (e.g., inhibitor...
Platforms: Windows
License: Freeware | Size: 5.8 MB | Download (56): DynaFit Download |
Motofit co-refines Neutron and X-ray reflectometry data, using the Abeles matrix / Parratt recursion and least squares fitting (Genetic algorithm or Levenberg Marquardt). It works in the IGOR Pro environment (TM Wavemetrics).
Platforms: Windows, Mac, Linux
License: Freeware | Size: 8.84 MB | Download (47): Motofit Download |
zpkfit uses the nonlinear least-squares fitter (lsqnonlin) to fit an analytic model of any (fixed) number of poles and zeroes to numerical (presumably measured) frequency response data. It takes as arguments a frequency vector, a frequency response vector, and vectors of the initial guesses of...
Platforms: Matlab
License: Freeware | Size: 10 KB | Download (43): zpkfit Download |
Often, measured data is comprised of N sampled values of z, evaluated at N locations (x,y). With this function, you can calculate the coefficients of the best-fit x,y polynomial using a linear least squares approximation.You can use this function if you have a set of N data triplets x,y,z, and...
Platforms: Matlab
License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (53): 3D Least squares polynomial fit in x and y Download |