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|Type:||Artigo de periódico|
|Title:||A CHARACTERIZATION OF THE SET OF FIXED-POINTS OF SOME SMOOTHED OPERATORS|
|Abstract:||We characterize the set F of fixed points of an operator T(x) = SQ(x), where S is a positive definite, symmetric, and stochastic matrix and Q is a convex combination of orthogonal projections onto closed convex sets. We show that F is the set of minimizers of a convex function: the sum of a weighted average of the squares of the distances to the convex sets and a nonnegative quadratic related to the matrix S.|
|Editor:||Elsevier Science Inc|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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