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Augmentation-Based Preconditioners for Saddle-Point Systems with Singular Leading Blocks (2206.13624v1)
Published 27 Jun 2022 in math.NA and cs.NA
Abstract: We consider the iterative solution of symmetric saddle-point matrices with a singular leading block. We develop a new ideal positive definite block diagonal preconditioner that yields a preconditioned operator with four distinct eigenvalues. We offer a few techniques for making the preconditioner practical, and illustrate the effectiveness of our approach with numerical experiments.