non-convex quadratic optimization with linear constraints












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I have a (non-convex) quadratic optimization with linear constraints as follows
$qquad qquad min_x frac{1}{2}x^TSx + w^Tx \ qquad qquad s.t. quad Cx leq b$.



I know that S is not positive semi-definite, but it is a matrix with element zero and -1 and the diagonal is zero for sure. I have seen some papers by Jeyakumar about the optimal of quadratic non-convex programming with quadratic constraints; however they cannot be applied to this minimization.



Anybody has any clue?!






quadratics nonlinear-optimization non-convex-optimization







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    0














    I have a (non-convex) quadratic optimization with linear constraints as follows
    $qquad qquad min_x frac{1}{2}x^TSx + w^Tx \ qquad qquad s.t. quad Cx leq b$.



    I know that S is not positive semi-definite, but it is a matrix with element zero and -1 and the diagonal is zero for sure. I have seen some papers by Jeyakumar about the optimal of quadratic non-convex programming with quadratic constraints; however they cannot be applied to this minimization.



    Anybody has any clue?!






    quadratics nonlinear-optimization non-convex-optimization







    share|cite|improve this question

























      0












      0








      0







      I have a (non-convex) quadratic optimization with linear constraints as follows
      $qquad qquad min_x frac{1}{2}x^TSx + w^Tx \ qquad qquad s.t. quad Cx leq b$.



      I know that S is not positive semi-definite, but it is a matrix with element zero and -1 and the diagonal is zero for sure. I have seen some papers by Jeyakumar about the optimal of quadratic non-convex programming with quadratic constraints; however they cannot be applied to this minimization.



      Anybody has any clue?!






      quadratics nonlinear-optimization non-convex-optimization







      share|cite|improve this question













      I have a (non-convex) quadratic optimization with linear constraints as follows
      $qquad qquad min_x frac{1}{2}x^TSx + w^Tx \ qquad qquad s.t. quad Cx leq b$.



      I know that S is not positive semi-definite, but it is a matrix with element zero and -1 and the diagonal is zero for sure. I have seen some papers by Jeyakumar about the optimal of quadratic non-convex programming with quadratic constraints; however they cannot be applied to this minimization.



      Anybody has any clue?!






      quadratics nonlinear-optimization non-convex-optimization




      quadratics nonlinear-optimization non-convex-optimization






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked 2 days ago









      Majid Mohammadi

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