FORTRAN SOFTWARE CATALOG

Repository owner: Jacob Williams (jacobwilliams)

nlesolver-fortran

Newton and quasi-Newton solvers for dense or sparse nonlinear equation systems.

Repository · Pinned source (60f38870a25e) · Try in playground · Checked package example

GAMS classifications

About this package

Category
Roots and optimization
License
BSD-3

Topics: broyden-method, differential-correction-algorithm, fortran, fortran-package-manager, lsmr, lsqr, lusol, minimum-norm, newton-methods, newton-raphson, nonlinear-equation-solver, nonlinear-equations, quasi-newton, sparse-matrices

Package dependencies

Resolved GitHub repositories used by the verified playground build, combining direct and indirect dependencies. This list does not describe internal module dependencies or native system libraries.

Required by this build

Build record verified 2026-10-27.

Used by (0 selected packages)

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Reviewed procedures

These mappings have pinned source evidence. A checked package example may exercise only some of them; source review is not a numerical benchmark.

nlesolver_type%solve

Module: nlesolver_module

F2

F2: verified

Derivatives / callbacks: analytic or approximated Jacobian, configured at initialization

Newton/quasi-Newton nonlinear system solver; callback and matrix configuration matter. 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: analytic dense Jacobian; backtracking; no Broyden updates. Other problem dimensions, singular systems and global convergence are not verified.

Pinned source: src/nlesolver_module.F90

Author examples/tests: test/sparse_test.f90

Load checked GAMS driver: gams-nlesolver-rosenbrock-system