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  2. Multimethodology - Wikipedia

    en.wikipedia.org/wiki/Multimethodology

    Multimethodology or multimethod research includes the use of more than one method of data collection or research in a research study or set of related studies.Mixed methods research is more specific in that it includes the mixing of qualitative and quantitative data, methods, methodologies, and/or paradigms in a research study or set of related studies.

  3. Backtracking line search - Wikipedia

    en.wikipedia.org/wiki/Backtracking_line_search

    The method involves starting with a relatively large estimate of the step size for movement along the line search direction, and iteratively shrinking the step size (i.e., "backtracking") until a decrease of the objective function is observed that adequately corresponds to the amount of decrease that is expected, based on the step size and the ...

  4. Multiple-criteria decision analysis - Wikipedia

    en.wikipedia.org/wiki/Multiple-criteria_decision...

    In this example a company should prefer product B's risk and payoffs under realistic risk preference coefficients. Multiple-criteria decision-making (MCDM) or multiple-criteria decision analysis (MCDA) is a sub-discipline of operations research that explicitly evaluates multiple conflicting criteria in decision making (both in daily life and in settings such as business, government and medicine).

  5. Multi-objective optimization - Wikipedia

    en.wikipedia.org/wiki/Multi-objective_optimization

    Multi-objective optimization or Pareto optimization (also known as multi-objective programming, vector optimization, multicriteria optimization, or multiattribute optimization) is an area of multiple-criteria decision making that is concerned with mathematical optimization problems involving more than one objective function to be optimized simultaneously.

  6. VIKOR method - Wikipedia

    en.wikipedia.org/wiki/VIKOR_method

    These strategies could be compromised by v = 0.5, and here v is modified as = (n + 1)/ 2n (from v + 0.5(n-1)/n = 1) since the criterion (1 of n) related to R is included in S, too. Step 4. Rank the alternatives, sorting by the values S, R and Q, from the minimum value. The results are three ranking lists. Step 5.

  7. Direct multiple shooting method - Wikipedia

    en.wikipedia.org/.../Direct_multiple_shooting_method

    A direct multiple shooting method partitions the interval [t a, t b] by introducing additional grid points = < < < =. The method starts by guessing somehow the values of y at all grid points t k with 0 ≤ k ≤ N − 1. Denote these guesses by y k.

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  9. Lagrange multiplier - Wikipedia

    en.wikipedia.org/wiki/Lagrange_multiplier

    Figure 3: Contour map of Figure 2. The method of Lagrange multipliers can be extended to solve problems with multiple constraints using a similar argument. Consider a paraboloid subject to two line constraints that intersect at a single point. As the only feasible solution, this point is obviously a constrained extremum.