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# minimize(method=’Powell’)

scipy.optimize.minimize(fun, x0, args=(), method=None, jac=None, hess=None, hessp=None, bounds=None, constraints=(), tol=None, callback=None, options=None)

  Minimization of scalar function of one or more variables using the modified Powell algorithm.

  Parameters:
    fun callable

      The objective function to be minimized:

          fun(x, *args) -> float

      where `x` is a 1-D array with shape (n,) and `args` is a tuple of the fixed parameters needed to completely specify the function.

    x0 ndarray, shape (n,)

      Initial guess. Array of real elements of size (n,), where `n` is the number of independent variables.

    args tuple, optional

      Extra arguments passed to the objective function and its derivatives (fun, jac and hess functions).

    method str or callable, optional

      The present documentation is specific to `method='powell'`, but other options are available. See documentation for `scipy.optimize.minimize`.

    bounds sequence or `Bounds`, optional

      Bounds on decision variables. There are two ways to specify the bounds:

      1. Instance of `Bounds` class.

      2. Sequence of `(min, max)` pairs for each element in x. None is used to specify no bound.

      If bounds are not provided, then an unbounded line search will be used. If bounds are provided and the initial guess is within the bounds, then every function evaluation throughout the minimization procedure will be within the bounds. If bounds are provided, the initial guess is outside the bounds, and direc is full rank (or left to default), then some function evaluations during the first iteration may be outside the bounds, but every function evaluation after the first iteration will be within the bounds. If direc is not full rank, then some parameters may not be optimized and the solution is not guaranteed to be within the bounds.

    options dict, optional

      A dictionary of solver options. All methods accept the following generic options:

      maxiterint

        Maximum number of iterations to perform. Depending on the method each iteration may use several function evaluations.

      dispbool

        Set to True to print convergence messages.

      See method-specific options for `method='powell'` below.

    callback callable, optional

      Called after each iteration. The signature is:

          callback(xk)

      where `xk` is the current parameter vector.

  Returns:
    res OptimizeResult

      The optimization result represented as a `OptimizeResult` object. Important attributes are: `x` the solution array, `success` a Boolean flag indicating if the optimizer exited successfully and `message` which describes the cause of the termination. See `OptimizeResult` for a description of other attributes.

  See also

  For documentation for the rest of the parameters, see `scipy.optimize.minimize`

  Options:
    ——-
    disp bool

      Set to True to print convergence messages.

    xtol float

      Relative error in solution xopt acceptable for convergence.

    ftol float

      Relative error in `fun(xopt)` acceptable for convergence.

    maxiter, maxfev int

      Maximum allowed number of iterations and function evaluations. Will default to `N*1000`, where `N` is the number of variables, if neither maxiter or maxfev is set. If both maxiter and maxfev are set, minimization will stop at the first reached.

    direc ndarray

      Initial set of direction vectors for the Powell method.

    return_all bool, optional

      Set to True to return a list of the best solution at each of the iterations.