See the levmar package for a high-level wrapper
around this package.
The Levenberg-Marquardt algorithm is an iterative
technique that finds a local minimum of a function that
is expressed as the sum of squares of nonlinear
functions. It has become a standard technique for
nonlinear least-squares problems and can be thought of
as a combination of steepest descent and the
Gauss-Newton method. When the current solution is far
from the correct one, the algorithm behaves like a
steepest descent method: slow, but guaranteed to
converge. When the current solution is close to the
correct solution, it becomes a Gauss-Newton method.
Both unconstrained and constrained (under linear
equations and box constraints) Levenberg-Marquardt
variants are included. All functions have Double and
Float variants.
Note that the included
C library
is lightly patched to make it pure. This way the
functions can be used inside unsafePerformIO.
A note regarding the license:
All files EXCEPT those in the levmar-2.4 directory fall
under the BSD3 license. The levmar C library, which is
bundled with this binding, falls under the GPL. If you
build a program which is linked with this binding then
it is also linked with levmar. This means such a
program can only by distributed under the terms of the
GPL.