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- W2292912585 abstract "We answer the question if the continuous product of square matrices $M(t)$ over $tin [0,1]$ can be correctly defined. The case where all $M(t)$ are taken from a finite set $Sigma$ is studied. We find necessary and sufficient conditions on $Sigma$ that ensure the convergence of products $M(t_{0}=0)M(t_{1})dots M(t_{N}=1)$ as the partition $0<t_{1}<dots<1$ refines. These conditions are properties LCP (left convergent product) and RCP (right convergent product) of the set $Sigma$. That is, it suffices to require the convergence of all finite products $M_{1}M_{2}dots M_{K}$ and $M_{K}dots M_{2}M_{1}$ as $Ktoinfty$, where $M_{i}inSigma$. The theory of joint spectral radius is heavily used." @default.
- W2292912585 created "2016-06-24" @default.
- W2292912585 creator A5019411789 @default.
- W2292912585 date "2016-03-02" @default.
- W2292912585 modified "2023-09-27" @default.
- W2292912585 title "Continuous products of matrices" @default.
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- W2292912585 hasPublicationYear "2016" @default.
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