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Constrained optimization problems containing Rosen gradient projection method for solving constrained multi-dimensional functions the extremal with outside point penalty function method for solving linear equality constraints multidimensional function extreme outside point penalty function method for solving general the equality constraints multidimensional function extremum interior point penalty function method for solving constrained multidimensional function extremum with mixed penalty function method for solving constrained multidimensional function extremum with mixed penalty function accelerated method for solving constrained multidimensional function extremum multiplier method for solving constrained multidimensional function extremum with coordinate rotation method for solving constrained multi-dimensional function the extremal complex method for solving constrained multidimensional function extremum