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NLFit algorithm
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Hi everyone, I am using the NLFit tool in OriginPro and I would like to better understand the underlying mechanics of the Levenberg-Marquardt algorithm implementation, specifically regarding the Jacobian matrix. I have two questions concerning the calculation of derivatives: - Built-in Functions: How does Origin handle the Jacobian for its library of built-in functions? Does it use analytical Jacobians (exact formulas) or is it based on a numerical approximation approach? - User-Defined Functions (UDF): When a user creates a new fitting function, how is the Jacobian determined by the engine? I am interested to know if there is a default method (such as finite differences) and if there are options for the user to specify or influence how these derivatives are calculated to ensure better convergence.
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