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pro vyhledávání: '"Wyss, Christian"'
A novel algorithm for the computation of the quadratic numerical range is presented and exemplified yielding much better results in less time compared to the random vector sampling method. Furthermore, a bound on the probability for the random vector
Externí odkaz:
http://arxiv.org/abs/2305.16079
We consider differential operators $A$ that can be represented by means of a so-called closure relation in terms of a simpler operator $A_{\operatorname{ext}}$ defined on a larger space. We analyze how the spectral properties of $A$ and $A_{\operator
Externí odkaz:
http://arxiv.org/abs/2212.12025
Publikováno v:
In Journal of Computational and Applied Mathematics 1 January 2025 453
Autor:
Schuler, Christof
Publikováno v:
Museum Helveticum, 2008 Dec 01. 65(4), 226-228.
Externí odkaz:
https://www.jstor.org/stable/44079388
Autor:
Schiano, Claudio
Publikováno v:
Gnomon, 2008 Jan 01. 80(8), 685-690.
Externí odkaz:
https://www.jstor.org/stable/40494535
A new method to enclose the pseudospectrum via the numerical range of the inverse of a matrix or linear operator is presented. The method is applied to finite-dimensional discretizations of an operator on an infinite-dimensional Hilbert space, and co
Externí odkaz:
http://arxiv.org/abs/2004.12790
The quadratic numerical range $W^2(A)$ is a subset of the standard numerical range of a linear operator which still contains its spectrum. It arises naturally in operators which have a $2 \times 2$ block structure, and it consists of at most two conn
Externí odkaz:
http://arxiv.org/abs/1912.10765
The stability radius for finitely many interconnected linear exponentially stable well-posed systems with respect to static perturbations is studied. If the output space of each system is finite-dimensional, then a lower bound for the stability radiu
Externí odkaz:
http://arxiv.org/abs/1912.00644
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