Fuctionary 发表于 2025-3-21 17:19:07

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abstemious 发表于 2025-3-21 21:05:07

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handle 发表于 2025-3-22 01:28:18

Gradient Methodection 9.3 we discuss the drawback of the gradient directions and introduce the conjugate directions in preparation for the conjugate gradient method in the next chapter. The final Section 9.4 mentions a variant of the gradient method: the minimal residual iteration which can be applied to any regular matrix ..

财政 发表于 2025-3-22 08:09:12

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ESPY 发表于 2025-3-22 12:33:39

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精致 发表于 2025-3-22 15:14:11

Domain Decomposition and Subspace MethodsHere we distinguish between the additive and multiplicative subspace iteration as explained in the corresponding Sections 12.6 and 12.7. Illustrations follow in Section 12.8. Interestingly, multigrid iterations can also be considered as subspace iterations as analysed in Section 12.9.

价值在贬值 发表于 2025-3-22 17:16:55

Introductiondirect solution by the Gauss elimination is determined. This cost can be compared with the cost of the iterative methods introduced later. In Section 1.6, the Gauss–Seidel and SOR iteration are presented as first examples of linear iterations. Finally, in Section 1.7, sparsity of the underlying matrix discussed.

jarring 发表于 2025-3-22 21:37:15

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Fissure 发表于 2025-3-23 04:56:08

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裁决 发表于 2025-3-23 09:30:03

-LU Iterationrrespondingly, the .-LU iteration described in Section 13.4 is very fast. The variant discussed in . 13.4.2 is purely algebraic, i.e., the data needed for the iteration are only based on the underlying matrix. Concerning details about the technique of hierarchical matrices, we refer to Appendix D.
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