Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Strakoš, Zdeněk"'
Multilevel methods represent a powerful approach in numerical solution of partial differential equations. The multilevel structure can also be used to construct estimates for total and algebraic errors of computed approximations. This paper deals wit
Externí odkaz:
http://arxiv.org/abs/2405.06532
When the CG method for solving linear algebraic systems was formulated about 70 years ago by Lanczos, Hestenes, and Stiefel, it was considered an iterative process possessing a mathematical finite termination property. CG was placed into a rich mathe
Externí odkaz:
http://arxiv.org/abs/2211.00953
Publikováno v:
In Linear Algebra and Its Applications 1 July 2024 692:241-291
This paper deals with the generalized spectrum of continuously invertible linear operators defined on infinite dimensional Hilbert spaces. More precisely, we consider two bounded, coercive, and self-adjoint operators $\bc{A, B}: V\mapsto V^{\#}$, whe
Externí odkaz:
http://arxiv.org/abs/2103.00849
We analyze the spectrum of the operator $\Delta^{-1} [\nabla \cdot (K\nabla u)]$, where $\Delta$ denotes the Laplacian and $K=K(x,y)$ is a symmetric tensor. Our main result shows that this spectrum can be derived from the spectral decomposition $K=Q
Externí odkaz:
http://arxiv.org/abs/2002.00676
In the paper \textit{Preconditioning by inverting the {L}aplacian; an analysis of the eigenvalues. IMA Journal of Numerical Analysis 29, 1 (2009), 24--42}, Nielsen, Hackbusch and Tveito study the operator generated by using the inverse of the Laplaci
Externí odkaz:
http://arxiv.org/abs/1809.03790
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