Browsing by Subject "eigenvectors"

Now showing 1 - 4 of 4

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Proste i odwrotne problemy spektralne dla macierzy typu Jacobiego
(Data obrony: 2015-12-17) Łysakowski, Jarosław
Wydział Matematyki Stosowanej
Access status: Open Access ,
Simple eigenvectors of unbounded operators of the type »normal plus compact«
(2015) Gil', Michael
The paper deals with operators of the form $A=S+B$, where $B$ is a compact operator in a Hilbert space $H$ and $S$ is an unbounded normal one in $H$, having a compact resolvent. We consider approximations of the eigenvectors of $A$, corresponding to simple eigenvalues by the eigenvectors of the operators $A_{n}=S+B_{n}$ ($n=1,2, \ldots$), where $B_n$ is an $n$-dimensional operator. In addition, we obtain the error estimate of the approximation.
Access status: Open Access ,
Stochastic differential equations for random matrices processes in the nonlinear framework
(Wydawnictwa AGH, 2018) Stihi, Sara; Boutabia, Hacène; Meradji, Selma
In this paper, we investigate the processes of eigenvalues and eigenvectors of a symmetric matrix valued process $X_{t}$, where $X_{t}$ is the solution of a general SDE driven by a $G$-Brownian motion matrix. Stochastic differential equations of these processes are given. This extends results obtained by P. Graczyk and J. Malecki in [Multidimensional Yamada-Watanabe theorem and its applications to particle systems, J. Math. Phys. 54 (2013), 021503].
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Wzory analityczne na funkcje charakterystyczne i wektory własne dla pewnych klas skończonych macierzy Jacobiego
(Data obrony: 2013-07-16) Laskoś, Mariusz
Wydział Matematyki Stosowanej