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V-cycle Multigrid for multilevel matrix algebras proof of optimality

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Author(s): Arico A.
Year: 2006

Language: English
Commentary: 44789
Pages: 37

Introduction......Page 1
Multilevel algebra and Toeplitz matrices......Page 4
Algebraic multigrid......Page 7
The AMG for matrix algebras......Page 8
Algebraic requirement......Page 9
Computational requirement......Page 10
Convergence--optimality requirement......Page 12
Smoothing properties......Page 15
Approximation property......Page 18
Proof of optimality......Page 21
Tau and circulant algebras......Page 28
The Toeplitz case......Page 30
3D case......Page 31
Acknowledgments......Page 32
References......Page 36