Probabilistic Estimates of the Largest Strictly Convex Singular Values of Pregaussian Random Matrices
نویسندگان
چکیده
منابع مشابه
Singular values of convex functions of matrices
Let $A_{i},B_{i},X_{i},i=1,dots,m,$ be $n$-by-$n$ matrices such that $sum_{i=1}^{m}leftvert A_{i}rightvert ^{2}$ and $sum_{i=1}^{m}leftvert B_{i}rightvert ^{2}$ are nonzero matrices and each $X_{i}$ is positive semidefinite. It is shown that if $f$ is a nonnegative increasing convex function on $left[ 0,infty right) $ satisfying $fleft( 0right) =0 $, then $$2s_{j}left( fleft( fra...
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ژورنال
عنوان ژورنال: Journal of Mathematics and Statistics
سال: 2015
ISSN: 1549-3644
DOI: 10.3844/jmssp.2015.7.15