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NL-FIT: a microcomputer program for non-linear fitting.

G S Landriani, V Guardabasso, M Rocchetti

    Computer Programs in Biomedicine
    |February 1, 1983
    PubMed
    Summary
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    This study presents a user-friendly BASIC program for microcomputers to perform non-linear least-squares fitting. It efficiently computes optimal parameters and provides statistical evaluation, aiding scientific modeling.

    Area of Science:

    • Computational Science
    • Scientific Computing
    • Data Analysis

    Background:

    • Non-linear least-squares fitting is crucial for parameter estimation in scientific models.
    • Existing methods may lack efficiency, user-friendliness, or robustness for diverse applications.

    Purpose of the Study:

    • To develop a robust and efficient microcomputer program for non-linear least-squares fitting.
    • To provide statistical evaluation capabilities for model parameters.
    • To facilitate interactive user dialogue for critical fitting problems.

    Main Methods:

    • Implementation of the Gauss-Newton algorithm with Marquardt's modification.
    • Development in BASIC language for HP 85 microcomputers.
    • Inclusion of interactive messages for parameter correlation detection.

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    Main Results:

    • The program successfully computes optimal parameters for non-linear models.
    • It offers statistical evaluation of the fitting results.
    • Interactive dialogue aids in addressing parameter correlation issues.

    Conclusions:

    • The developed program is efficient, user-friendly, and robust for a wide range of models.
    • It effectively handles non-linear parameter estimation and statistical evaluation.
    • The interactive features enhance its utility in scientific research.