Variational Analysis of the Ky Fan k-norm
نویسندگان
چکیده
منابع مشابه
Finding the Largest Low-Rank Clusters With Ky Fan 2-k-Norm and ℓ1-Norm
We propose a convex optimization formulation with the Ky Fan 2-k-norm and `1-norm to find k largest approximately rank-one submatrix blocks of a given nonnegative matrix that has low-rank block diagonal structure with noise. We analyze low-rank and sparsity structures of the optimal solutions using properties of these two matrix norms. We show that, under certain hypotheses, with high probabili...
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This nice identity was applied in the same paper. Rather surprisingly, this result did not seem to have caught much attention. The object of this short note is to indicate some other consequences of identity (1), which have not been quoted in [5] or [6]. Before going further, and since no proof of this identity is given in [6], we thought worth to give one. The proof goes as follows. Put for an...
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The object of this note is to give two applications of an intersection lemma of Ky Fan. First it is used to obtain a variational property of a strongly continuous function on a weakly compact convex subset of a normed space. In the second half we apply the lemma to obtain a direct proof of a result on the extension of monotone sets in topological linear spaces. It was established separately by ...
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ژورنال
عنوان ژورنال: Set-Valued and Variational Analysis
سال: 2016
ISSN: 1877-0533,1877-0541
DOI: 10.1007/s11228-016-0378-3