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Basic solution (linear programming) : ウィキペディア英語版
Basic solution (linear programming)

In linear programming, a discipline within applied mathematics, a basic solution is any solution of a linear programming problem satisfying certain specified technical conditions.
For a polyhedron P and a vector \mathbf^
* \in \mathcal^n, \mathbf^
* is a basic solution if:
# All the equality constraints defining P are active at \mathbf^
*
# Of all the constraints that are active at that vector, at least n of them must be linearly independent. Note that this also means that at least n constraints must be active at that vector.
A constraint is ''active'' for a particular solution \mathbf if it is satisfied at equality for that solution.
A basic solution that satisfies all the constraints defining P or in other words, one that lies within P is called a basic feasible solution.
==References==



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