An additive schwarz analysis for multiplicative schwarz methods: General case
We analyze multiplicative Schwarz methods through the additive Schwarz theory. As a by-product we recover the Xu-Zikatanov identity for the norm of product operators. This extends earlier work by the author on multiplicative Schwarz methods that use symmetric positive definite solvers for the subspace corrections.
Publication Source (Journal or Book title)
Lecture Notes in Computational Science and Engineering
Brenner, S. (2018). An additive schwarz analysis for multiplicative schwarz methods: General case. Lecture Notes in Computational Science and Engineering, 125, 17-30. https://doi.org/10.1007/978-3-319-93873-8_2