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Semidefinite programming formulation

SEMIDEFINITE PROGRAMMING FORMULATIONS AND PRIMAL-DUAL INTERIOR-POINT METHODS... [Pg.103]

A semidefinite program may be written in two complementary formulations, which are known as the primal and dual programs. Eor convenience we define the map M that transforms any vector x) of length n into an h x h matrix M x) by creating each column of the matrix sequentially with the elements of the vector. The primal formulation of the semidefinite program may be expressed in general notation as... [Pg.45]

We solve the nonlinear formulation of the semidefinite program by the augmented Lagrange multiplier method for constrained nonlinear optimization [28, 29]. Consider the augmented Lagrangian function... [Pg.47]

The semidefinite program we are considering is formulated in terms of the symmetric matrix H and the linear subspace of symmetric matrices S. For the... [Pg.73]

The computational implementation of the energy minimization with respect to the 2-RDM is formulated as a semidefinite program (SDP). A SDP is a generalization of a linear program where the objective variable is kept positive semidefinite. The program is constructed by considering the minimization of the linear energy functional in Eq. (2) subject to constraints... [Pg.168]


See other pages where Semidefinite programming formulation is mentioned: [Pg.105]    [Pg.107]    [Pg.109]    [Pg.111]    [Pg.113]    [Pg.115]    [Pg.117]    [Pg.105]    [Pg.107]    [Pg.109]    [Pg.111]    [Pg.113]    [Pg.115]    [Pg.117]    [Pg.45]    [Pg.64]    [Pg.186]    [Pg.13]    [Pg.104]   
See also in sourсe #XX -- [ Pg.105 , Pg.106 , Pg.107 , Pg.108 , Pg.109 ]




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