Jose Pablo Lucero Lorca
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On the Spectral Clustering in Algebraic Multigrid Methods
Mathematics > Numerical Analysis [Submitted on 15 Nov 2025 (v1), last revised 3 Jun 2026 (this version, v4)] Title:On the Spectral Clustering in Algebraic Multigrid Methods View PDF HTML (experimental)Abstract:We introduce a new direct multilevel method for solving arbitrary complex square linear systems that uses 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.