V. Balakrishnan and S. Boyd. Existence and uniqueness of optimal matrix scalings. SIAM J. Matrix Anal. Appl., 16(1):29-39, 1994.

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Positivity and Linear Matrix Inequalities - Genin, Hachez, Nesterov.. (2002)   (2 citations)  (Correct)

....D2D 1 (DMD 1 ) 3. 15) where D = fdiag(d 1 I m1 ; d 2 I m2 ; d F I mF ) 0 d j 2 Rg : Algorithms for the ecient computation of (M) are available, since this problem can be reformulated as an LMI 2 (M) inf 0;D2D f : MDM D 0g and solved in an ecient manner [4, 74]. Consider now the feedback connection in Figure 1, where G(s) is an m m stable transfer function matrix and (s) is a structured uncertainty constrained to lie in the set M( f 2 RH 1 m m : s 0 ) 2 ; 8s 0 2 C g: The next result [123] is the classical version of the so called ....

V. Balakrishnan and S. Boyd. Existence and uniqueness of optimal matrix scalings. SIAM J. Matrix Anal. Appl., 16(1):29-39, 1994.

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