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Is Linear 1 date: June 1, 1998 file: duality Duality For Semidefinite Programming, Sdp...



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Abstract: 29.77> X0 max y L(X; y) = C ffl X + y t (b \Gamma AX): The equivalence can be seen by using the hidden constraint in the outer minimization problem b \Gamma AX = 0; i.e. if this constraint does not hold then the inner maximum value is +1: By interchanging the max and the min and rewriting the order of terms in the Lagrangian, we get the dual problem and weak duality. ¯ := max y min X0 b t y + (C \Gamma A y) ffl X: Using the hidden constraint in the outer ... (Update)

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BibTeX entry:   (Update)

@misc{ linear-gamma,
  author = "Is Linear",
  title = "\Gamma! !",
  url = "citeseer.ist.psu.edu/42578.html" }
Citations (may not include all citations):
44   An algorithmic analysis of multiquadratic and semidefinite p.. (context) - RAMANA - 1993  ACM
40   Theory of linear programming (context) - Goldman, Tucker - 1956
35   Some applications of optimization in matrix theory (context) - WOLKOWICZ - 1981
35   Semidefinite programming relaxations for the quadratic assig.. - ZHAO, KARISCH et al. - 1998  DBLP
30   Strong duality for semidefinite programming - RAMANA, TUNCEL et al. - 1997  ACM
28   First and second order analysis of nonlinear semidefinite pr.. - SHAPIRO - 1997  ACM
20   An interior-point method for approximate positive semidefini.. - JOHNSON, KROSCHEL et al. - 1998
17   Polyhedral convex cones (context) - Goldman, Tucker - 1956
16   Interior point methods for semidefinite programming (context) - KLERK - 1997
16   Characterizations of optimality for the abstract convex prog.. (context) - BORWEIN, WOLKOWICZ - 1981
14   the generic properties of convex optimization problems in co.. - PATAKI, TUNCEL - 1997
14   Regularizing the abstract convex program (context) - BORWEIN, WOLKOWICZ - 1981
3   An interior-point method for approximate distance matrix com.. (context) - ALFAKIH, KHANDANI et al. - 1997

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