# List of NP-complete Problems - Mathematical Programming

Mathematical Programming

• Integer linear programming
• 0-1 linear programming
• Quadratic programming (NP-hard in some cases, P if convex)
• Cost-parametric linear programming
• Feasible basis extension
• Open hemisphere
• K-relevancy
• Knapsack
• Integer knapsack
• Continuous multiple choice knapsack
• Partially ordered knapsack
• Generalized assignment problem
• Comparative vector inequalities
• Selecting a maximum volume submatrix – Problem of selecting the best conditioned subset of a larger m x n matrix. This class of problem is associated with Rank revealing QR factorizations and D optimal experimental design.
• Sparse approximation

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