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Algebraic multigrid and subdivision

By Maria Charina

Also appears in collection : Multivariate approximation and interpolation with applications - MAIA / Approximation et interpolation à plusieurs variables et applications - MAIA

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).

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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

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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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