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pro vyhledávání: '"Kjelgaard P"'
We consider the problem of estimating the error when solving a system of differential algebraic equations. Richardson extrapolation is a classical technique that can be used to judge when computational errors are irrelevant and estimate the discretiz
Externí odkaz:
http://arxiv.org/abs/2406.08257
We analyze the convergence of quasi-Newton methods in exact and finite precision arithmetic. In particular, we derive an upper bound for the stagnation level and we show that any sufficiently exact quasi-Newton method will converge quadratically unti
Externí odkaz:
http://arxiv.org/abs/2303.17911
Autor:
Mikhail Shubin, Hilde Kjelgaard Brustad, Jørgen Eriksson Midtbø, Felix Günther, Laura Alessandretti, Tapio Ala-Nissila, Gianpaolo Scalia Tomba, Mikko Kivelä, Louis Yat Hin Chan, Lasse Leskelä
Publikováno v:
PLoS Computational Biology, Vol 20, Iss 6, p e1012182 (2024)
Restrictions of cross-border mobility are typically used to prevent an emerging disease from entering a country in order to slow down its spread. However, such interventions can come with a significant societal cost and should thus be based on carefu
Externí odkaz:
https://doaj.org/article/f7b5e60da95e4ee89d2cac6a7921ffa2
In this note we present a parameterized class of lower triangular matrices. The components of the eigenvectors grow rapidly and will exceed the representational range of any finite number system. The eigenvalues and the eigenvectors are well-conditio
Externí odkaz:
http://arxiv.org/abs/2005.05356
Publikováno v:
LNCS 12043 (2020) 58-69
In this paper we consider the problem of computing generalized eigenvectors of a matrix pencil in real Schur form. In exact arithmetic, this problem can be solved using substitution. In practice, substitution is vulnerable to floating-point overflow.
Externí odkaz:
http://arxiv.org/abs/2003.04776
Publikováno v:
Concurrency Computat Pract Exper. (2020) e5915
In this paper, we present the StarNEig library for solving dense nonsymmetric standard and generalized eigenvalue problems. The library is built on top of the StarPU runtime system and targets both shared and distributed memory machines. Some compone
Externí odkaz:
http://arxiv.org/abs/2002.05024
Akademický článek
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Autor:
Xinyang Gao, Yubin Zhang, Lasse Haahr-Lillevang, Nikolaj Kjelgaard Vedel-Smith, Tito Andriollo
Publikováno v:
Heliyon, Vol 9, Iss 12, Pp e23186- (2023)
Although much research has focused on AlSi10Mg processed via laser-based powder bed fusion, the material deformation mechanisms at the microscale are still unclear. To improve the current understanding, 3D measurements of the strain field at the micr
Externí odkaz:
https://doaj.org/article/442103c748e44d1c9e59db185a12b9f5
The Bartels-Stewart algorithm is a standard approach to solving the dense Sylvester equation. It reduces the problem to the solution of the triangular Sylvester equation. The triangular Sylvester equation is solved with a variant of backward substitu
Externí odkaz:
http://arxiv.org/abs/1905.10574
Publikováno v:
LNCS 12043 (2020) 70-81
In this paper, we present the StarNEig library for solving dense non-symmetric (generalized) eigenvalue problems. The library is built on top of the StarPU runtime system and targets both shared and distributed memory machines. Some components of the
Externí odkaz:
http://arxiv.org/abs/1905.04975