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| Approximations to a Quadratic Programming with Quadratic Constraints and Their Applications |
| Laizhong Song, Biwei Song |
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Abstract Using algebraic transformation, for a quadratic programming with a
special form of quadratic constraints, the feasible region of its
solutions can be expressed as a bounded closed domain based on the
meaning of geometry. Therefore, if the feasible region is
appropriately subdivided, the approximation solution can be found by
the exhaustive method. When the dimension is 2 and 3, the error
estimations have been discussed. We also apply this method to
simulate the randomly distributed regions with a large number of
ellipses or ellipsoids. Numerical experiments show that the proposed
algorithm is efficient and satisfies the practical requirements of
engineering computations.
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