Contents

• Getting started with Non-Linear Least-Squares Fitting
• Downloading and Installation
  • Prerequisites
  • Downloads
  • Installation
  • Development Version
  • Testing
  • Acknowledgements
  • License
• Getting Help
• Frequently Asked Questions
  • How can I fit multi-dimensional data?
  • How can I fit complex data?
  • Can I constrain values to have integer values?
• Parameter and Parameters
  • The Parameter class
  • The Parameters class
  • Simple Example
• Performing Fits, Analyzing Outputs
  • The minimize() function
  • Writing a Fitting Function
  • Choosing Different Fitting Methods
  • MinimizerResult – the optimization result
    • Goodness-of-Fit Statistics
    • Akaike and Bayesian Information Criteria
  • Using the Minimizer class
  • Getting and Printing Fit Reports
• Modeling Data and Curve Fitting
  • Example: Fit data to Gaussian profile
  • The Model class
    • Model class Methods
    • Model class Attributes
    • Determining parameter names and independent variables for a function
    • Explicitly specifying independent_vars
    • Functions with keyword arguments
    • Defining a prefix for the Parameters
    • Initializing model parameters
    • Using parameter hints
  • The ModelFit class
    • ModelFit methods
    • ModelFit attributes
  • Composite Models : adding (or multiplying) Models
• Built-in Fitting Models in the models module
  • Peak-like models
    • GaussianModel
    • LorentzianModel
    • VoigtModel
    • PseudoVoigtModel
    • Pearson7Model
    • StudentsTModel
    • BreitWignerModel
    • LognormalModel
    • DampedOcsillatorModel
    • ExponentialGaussianModel
    • SkewedGaussianModel
    • DonaichModel
  • Linear and Polynomial Models
    • ConstantModel
    • LinearModel
    • QuadraticModel
    • ParabolicModel
    • PolynomialModel
  • Step-like models
    • StepModel
    • RectangleModel
  • Exponential and Power law models
    • ExponentialModel
    • PowerLawModel
  • User-defined Models
    • ExpressionModel
  • Example 1: Fit Peaked data to Gaussian, Lorentzian, and Voigt profiles
  • Example 2: Fit data to a Composite Model with pre-defined models
  • Example 3: Fitting Multiple Peaks – and using Prefixes
• Calculation of confidence intervals
  • Method used for calculating confidence intervals
  • A basic example
  • An advanced example
  • Documentation of methods
• Bounds Implementation
• Using Mathematical Constraints
  • Overview
  • Supported Operators, Functions, and Constants
  • Using Inequality Constraints
  • Advanced usage of Expressions in lmfit