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Algebraic multigrid and subdivision

By Maria Charina

Appears in collections : Multivariate approximation and interpolation with applications - MAIA / Approximation et interpolation à plusieurs variables et applications - MAIA, Exposés de recherche

Multigrid is an iterative method for solving large linear systems of equations whose Toeplitz system matrix is positive definite. One of the crucial steps of any Multigrid method is based on multivariate subdivision. We derive sufficient conditions for convergence and optimality of Multigrid in terms of trigonometric polynomials associated with the corresponding subdivision schemes. (This is a joint work with Marco Donatelli, Lucia Romani and Valentina Turati).

Information about the video

Date of recording 22/09/2016
Date of publication 22/09/2016
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19053203
Cite this video Charina, Maria (22/09/2016). Algebraic multigrid and subdivision. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19053203
URL https://dx.doi.org/10.24350/CIRM.V.19053203

Domain(s)

Numerical Analysis

Bibliography

Charina, M., Donatelli, M., Romani, L., & Turati, V. (2016). Multigrid methods: grid transfer operators and subdivision schemes. <arXiv:1608.03524> - https://arxiv.org/abs/1608.03524

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