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  2. Quasi-Newton method - Wikipedia

    en.wikipedia.org/wiki/Quasi-Newton_method

    In the SciPy extension to Python, the scipy.optimize.minimize function includes, among other methods, a BFGS implementation. [8] Notable proprietary implementations include: Mathematica includes quasi-Newton solvers. [9] The NAG Library contains several routines [10] for minimizing or maximizing a function [11] which use quasi-Newton algorithms.

  3. Limited-memory BFGS - Wikipedia

    en.wikipedia.org/wiki/Limited-memory_BFGS

    Since BFGS (and hence L-BFGS) is designed to minimize smooth functions without constraints, the L-BFGS algorithm must be modified to handle functions that include non-differentiable components or constraints. A popular class of modifications are called active-set methods, based on the concept of the active set. The idea is that when restricted ...

  4. Broyden–Fletcher–Goldfarb–Shanno algorithm - Wikipedia

    en.wikipedia.org/wiki/Broyden–Fletcher...

    In SciPy, the scipy.optimize.fmin_bfgs function implements BFGS. [14] It is also possible to run BFGS using any of the L-BFGS algorithms by setting the parameter L to a very large number. It is also one of the default methods used when running scipy.optimize.minimize with no constraints. [15]

  5. Sequential quadratic programming - Wikipedia

    en.wikipedia.org/wiki/Sequential_quadratic...

    SciPy (de facto standard for scientific Python) has scipy.optimize.minimize(method='SLSQP') solver. NLopt (C/C++ implementation, with numerous interfaces including Julia, Python, R, MATLAB/Octave), implemented by Dieter Kraft as part of a package for optimal control, and modified by S. G. Johnson.

  6. Nelder–Mead method - Wikipedia

    en.wikipedia.org/wiki/Nelder–Mead_method

    Nelder–Mead (Downhill Simplex) explanation and visualization with the Rosenbrock banana function; John Burkardt: Nelder–Mead code in Matlab - note that a variation of the Nelder–Mead method is also implemented by the Matlab function fminsearch. Nelder-Mead optimization in Python in the SciPy library.

  7. Least absolute deviations - Wikipedia

    en.wikipedia.org/wiki/Least_absolute_deviations

    Least absolute deviations (LAD), also known as least absolute errors (LAE), least absolute residuals (LAR), or least absolute values (LAV), is a statistical optimality criterion and a statistical optimization technique based on minimizing the sum of absolute deviations (also sum of absolute residuals or sum of absolute errors) or the L 1 norm of such values.

  8. SciPy - Wikipedia

    en.wikipedia.org/wiki/SciPy

    SciPy (pronounced / ˈ s aɪ p aɪ / "sigh pie" [2]) is a free and open-source Python library used for scientific computing and technical computing. [3]SciPy contains modules for optimization, linear algebra, integration, interpolation, special functions, FFT, signal and image processing, ODE solvers and other tasks common in science and engineering.

  9. Nonlinear programming - Wikipedia

    en.wikipedia.org/wiki/Nonlinear_programming

    SciPy (de facto standard for scientific Python) has scipy.optimize solver, which includes several nonlinear programming algorithms (zero-order, first order and second order ones). IPOPT (C++ implementation, with numerous interfaces including C, Fortran, Java, AMPL, R, Python, etc.) is an interior point method solver (zero-order, and optionally ...