On Spectral Clustering in Algebraic Multigrid Methods

arXiv cs.NA2026-11-05 13:000 views

arXiv:2511.12298v5 Announce Type: replace Abstract: We introduce a new direct multilevel method for solving general nonsingular complex square linear systems admitting a suitable block partition, using a regular smoother and an arbitrary but equal number of pre- and post-smoothings. Through careful analysis of the error propagation operator, we cluster the spectrum of this operator. This allows us to write a direct K-cycle version of the method.

Source：https://arxiv.org/abs/2511.12298

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