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**Owning Class: **approximation

**Requires: **MathScript RT Module

x = lsqfit(fun, a0, xdata, ydata)

x = lsqfit(fun, a0, xdata, ydata, lb, ub)

[x, normres] = lsqfit(fun, a0, xdata, ydata)

[x, normres] = lsqfit(fun, a0, xdata, ydata, lb, ub)

[x, normres, resid] = lsqfit(fun, a0, xdata, ydata)

[x, normres, resid] = lsqfit(fun, a0, xdata, ydata, lb, ub)

Legacy Name: `lsqcurvefit`

Uses the least-squares method to compute the solution to a nonlinear curve-fitting problem.

Name | Description |
---|---|

fun |
Specifies the nonlinear function, defined and saved in a .m file, to fit. |

a0 |
Specifies an initial guess for the parameter vector. |

xdata |
Specifies the input data vector of the nonlinear function fun. |

ydata |
Specifies the output data vector of the nonlinear function fun. |

lb |
Specifies the lower bounds of the parameter vector. length(lb) must equal length(a0). |

ub |
Specifies the upper bounds of the parameter vector. length(ub) must equal length(a0). |

Name | Description |
---|---|

x |
Returns the coefficients that minimize the mean square error between the solution vector and the observed y-values. |

normres |
Returns the value of the squared 2-norm of the residual. |

resid |
Returns the residue of the fitted curve. |

This function uses the Levenberg-Marquardt algorithm to determine the set of parameters that best fit the set of input data points (**xdata**, **ydata**) as expressed by the nonlinear function **ydata** = *f*(*a*, **xdata**), where *a* is the set of parameters.

The function to fit is defined by the input parameter **fun**, which is a script file and takes the form of the following equation:

[*F*, *df*] = *myfun*(*a*, **xdata**)

where *F* is the array of values evaluated at **xdata**: *myfun*(*a*, **xdata**), and *df* is a two-dimensional array of the partial derivatives at **xdata** with respect to the coefficients, or the Jacobian value *J*. The calculation of the partial derivatives is optional. If you do not calculate the derivatives in the script, *df* must equal zeros(0, 0), and LabVIEW calculates the derivatives numerically.

The following table lists the support characteristics of this function.

Supported in the LabVIEW Run-Time Engine | No |

Supported on RT targets | Yes |

Suitable for bounded execution times on RT | Not characterized |

% The myfun function is defined by:

%function [F, df] = myfun(a, xdata)

%F = a(1)*xdata.^2 + a(2)*cos(xdata);

%df = zeros(0, 0);

a = [2, 1.5];

x = 0:1:19;

noise = randnormal(size(x)) / 5;

y = a(1)*x.^2 + a(2)*cos(x) + noise;

[x, normres, resid] = lsqfit('myfun', [10, 10], x, y);

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