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Deriving the X-Z Identity from Auxiliary Space Method

Long Chen

Domain Decomposition Methods in Science and Engineering XIX, 309-316, 2010.

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ABSTRACT: The X-Z identity for the multiplicative subspace correction method is introduced and proved in Xu and Zikatanov 2002. Alternative proves can be found in Cho et al. 2008 and Vassilevski 2008. In this paper, the X-Z identity will be derived from the auxiliary space method.