Repository owner: Jacob Williams (jacobwilliams)
Nonlinear equation solvers and nonlinear least-squares fitting.
Repository · Pinned source (c0b5aea9fcd2) · Try in playground · Checked package example
Topics: curve-fitting, least-squares, nonlinear-equations, optimization
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Build record verified 2026-10-27.
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Module: minpack_module
G1b1a: verified
Derivatives / callbacks: finite-difference residual Jacobian
Nonlinear least squares using residual values; the scalar objective is their squared norm.
Pinned source: src/minpack.f90
Author examples/tests: examples/example_lmdif1.f90
Module: minpack_module
G1b1b: verified
Derivatives / callbacks: user residual Jacobian
Nonlinear least squares; requires both residual values and their Jacobian. For smooth nonlinear least squares, the user residual Jacobian supplies first-derivative information for the squared-residual objective; this is not a general scalar-objective gradient interface.
Pinned source: src/minpack.f90
Author examples/tests: examples/example_lmder1.f90
Module: minpack_module
F2: verified
Derivatives / callbacks: finite-difference Jacobian
Powell hybrid solver for a square system of nonlinear equations. The checked F2 driver solves [1-x,10*(y-x**2)]=0 from [-1.2,1] and [2,2], requiring the known root [1,1], small recomputed residuals and documented successful termination. Configuration: finite-difference Jacobian. Other problem dimensions, singular systems and global convergence are not verified.
Pinned source: src/minpack.f90
Author examples/tests: examples/example_hybrd1.f90