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  2. Second-order cone programming - Wikipedia

    en.wikipedia.org/wiki/Second-order_cone_programming

    The "second-order cone" in SOCP arises from the constraints, which are equivalent to requiring the affine function (+, +) to lie in the second-order cone in +. [ 1 ] SOCPs can be solved by interior point methods [ 2 ] and in general, can be solved more efficiently than semidefinite programming (SDP) problems. [ 3 ]

  3. Convolution power - Wikipedia

    en.wikipedia.org/wiki/Convolution_power

    This definition makes sense if x is an integrable function (in L 1), a rapidly decreasing distribution (in particular, a compactly supported distribution) or is a finite Borel measure. If x is the distribution function of a random variable on the real line, then the n th convolution power of x gives the distribution function of the sum of n ...

  4. MATLAB - Wikipedia

    en.wikipedia.org/wiki/MATLAB

    MATLAB (an abbreviation of "MATrix LABoratory" [22]) is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks.MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.

  5. GPOPS-II - Wikipedia

    en.wikipedia.org/wiki/GPOPS-II

    GPOPS-II [3] is designed to solve multiple-phase optimal control problems of the following mathematical form (where is the number of phases): = ((), …, ()) subject to the dynamic constraints

  6. File:Schaffer function 2 - multi-objective.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Schaffer_function_2...

    Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts

  7. Convex optimization - Wikipedia

    en.wikipedia.org/wiki/Convex_optimization

    [7]: chpt.2 Many optimization problems can be equivalently formulated in this standard form. For example, the problem of maximizing a concave function can be re-formulated equivalently as the problem of minimizing the convex function . The problem of maximizing a concave function over a convex set is commonly called a convex optimization problem.

  8. GNU Octave - Wikipedia

    en.wikipedia.org/wiki/GNU_Octave

    Publication of Octave 7.1.0 (QT5 preferred), improved graphics backend and matlab compatibility [18] 7 March 2023: Publication of Octave 8.1.0, improved graphics backend and matlab compatibility [19] 14 March 2024: Publication of Octave 9.1.0, general, matlab compatibility, and graphics improvements. [20] 7 June 2024: Publication of Octave 9.2. ...

  9. Test functions for optimization - Wikipedia

    en.wikipedia.org/wiki/Test_functions_for...

    The artificial landscapes presented herein for single-objective optimization problems are taken from Bäck, [1] Haupt et al. [2] and from Rody Oldenhuis software. [3] Given the number of problems (55 in total), just a few are presented here. The test functions used to evaluate the algorithms for MOP were taken from Deb, [4] Binh et al. [5] and ...