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The following is a problem very similar to the problem "Convex Iteration rank-1" in Jon Dattoro's book
The following is a problem very similar to the problem "Convex Iteration rank-1" in Jon Dattoro's book
-
(Dn is the space of diagonal matrices)
+
(Dn is the space of diagonal matrices and Sn is the space of symmetric matrices)
find <math>X \in S_n </math> and <math> G \in D_n</math>
find <math>X \in S_n </math> and <math> G \in D_n</math>
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subject to <math> A </math> svec <math> X = b </math>
+
subject to
 +
 
 +
 
 +
<math> A </math> svec <math> X </math> = <math> b </math>
 +
 
<math> X \ge 0 </math>
<math> X \ge 0 </math>
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<math> rank X \le ρ </math>
 
-
<math> GXc = d </math>
+
<math> rank X \le r </math>
 +
 
 +
 
 +
<math> G </math><math> X</math><math> c </math> = <math> d </math>

Revision as of 17:19, 1 December 2009

The following is a problem very similar to the problem "Convex Iteration rank-1" in Jon Dattoro's book (Dn is the space of diagonal matrices and Sn is the space of symmetric matrices)

find LaTeX: X \in S_n and LaTeX:  G \in D_n

subject to


LaTeX:  A svec LaTeX:  X = LaTeX:  b


LaTeX:  X \ge 0


LaTeX:  rank X \le r


LaTeX:  G LaTeX:  XLaTeX:  c = LaTeX:  d

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