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Continuous factorization of the identity matrix

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 نشر من قبل Pavlos Motakis
 تاريخ النشر 2019
  مجال البحث
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We investigate conditions under which the identity matrix $I_n$ can be continuously factorized through a continuous $Ntimes N$ matrix function $A$ with domain in $mathbb{R}$. We study the relationship of the dimension $N$, the diagonal entries of $A$, and the norm of $A$ to the dimension $n$ and the norms of the matrices that witness the factorization of $I_n$ through $A$.



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