Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/52855
Type: Artigo de periódico
Title: A CHARACTERIZATION OF THE SET OF FIXED-POINTS OF SOME SMOOTHED OPERATORS
Author: IUSEM, AN
DEPIERRO, AR
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
Rights: fechado
Identifier DOI: 10.1016/0024-3795(92)90315-2
Date Issue: 1992
Appears in Collections:Unicamp - Artigos e Outros Documentos

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