Algebraic multigrid methods for Laplacians of graphs

Author:

Bolten Matthias,Friedhoff Stephanie,Frommer Andreas,Heming Matthias,Kahl Karsten

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference20 articles.

1. A.G. Monien, AG Monien – Research – Graph Partitioning (Graph Collection). Available from: .

2. On the convergence of general stationary linear iterative methods for singular linear systems;Cao;SIAM J. Matrix Anal. Appl.,2008

3. S. Friedhoff, M. Heming, Laplace-Matrizen Iterationsverfahren, Bachelor thesis, Bergische Universität Wuppertal, Wuppertal, 2007.

4. Convergence of stationary iterative methods for hermitian semidefinite linear systems and applications to Schwarz methods;Frommer;SIAM J. Matrix Anal. Appl.,2008

5. G. Karypis, V. Kumar, MeTis: Unstructured Graph Partitioning and Sparse Matrix Ordering System, Version 4.0, 2009. Available from: .

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Posteriori Error Estimates for Multilevel Methods for Graph Laplacians;SIAM Journal on Scientific Computing;2021-01

2. Computing the diffusion state distance on graphs via algebraic multigrid and random projections;Numerical Linear Algebra with Applications;2018-02-07

3. An Efficient Multigrid Method for Graph Laplacian Systems II: Robust Aggregation;SIAM Journal on Scientific Computing;2017-01

4. On some properties of the Laplacian matrix revealed by the RCM algorithm;Czechoslovak Mathematical Journal;2016-09

5. Algebraic Two-Level Convergence Theory for Singular Systems;SIAM Journal on Matrix Analysis and Applications;2016-01

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