.. index:: single: nelder_mead(Problem) .. _nelder_mead/1:

.. rst-class:: right

object

nelder_mead(Problem)

• Problem - Problem object implementing local_optimization_problem_protocol. Nelder-Mead (downhill simplex) derivative-free local optimizer for continuous problems. Supports optional box constraints via projection, minimization and maximization, and the standard reflection / expansion / contraction / shrink operators.

  | Availability: | logtalk_load(local_optimization(loader))

  | Author: Paulo Moura | Version: 1:0:0 | Date: 2026-09-03

  | Compilation flags: | static, context_switching_calls

  | Imports: | public :ref:`local_optimization_solver(Problem) <local_optimization_solver/1>` | Uses: | :ref:`linear_algebra <linear_algebra/0>` | :ref:`list <list/0>` | :ref:`pairs <pairs/0>`

  | Remarks:

  • Algorithm: Classic Nelder-Mead simplex method. An optional adaptive-parameter variant (Gao-Han) can be selected with the adaptive(true) option.
  • Bounds: When the problem defines position_bounds/1, trial points are projected onto the box after every operator.
  • Initial simplex: Built from the problem initial_point/1 by stepping along each coordinate axis. The step size is controlled by the initial_step(S) option (default 0.05 of each finite range, or an absolute 0.05 when unbounded).

  | Inherited public predicates: | Â :ref:`options_protocol/0::check_option/1` Â :ref:`options_protocol/0::check_options/1` Â :ref:`options_protocol/0::default_option/1` Â :ref:`options_protocol/0::default_options/1` Â :ref:`options_protocol/0::option/2` Â :ref:`options_protocol/0::option/3` Â :ref:`local_optimization_solver/1::run/2` Â :ref:`local_optimization_solver/1::run/3` Â :ref:`local_optimization_solver/1::run/4` Â :ref:`options_protocol/0::valid_option/1` Â :ref:`options_protocol/0::valid_options/1` Â

  .. contents:: :local: :backlinks: top

Public predicates

(no local declarations; see entity ancestors if any)

Protected predicates

(no local declarations; see entity ancestors if any)

Private predicates

(no local declarations; see entity ancestors if any)

Operators

(none)

.. seealso::

:ref:`local_optimization_problem_protocol <local_optimization_problem_protocol/0>`, :ref:`local_optimization_solver(Problem) <local_optimization_solver/1>`, :ref:`gradient_descent(Problem) <gradient_descent/1>`