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math.NA2024
A Framework for the Solution of Tree-Coupled Saddle-Point Systems
Christoph Hansknecht, Bernhard Heinzelreiter, John W. Pearson +1
We consider the solution of saddle-point systems with a tree-based block structure, introducing a parallelizable direct method for their solution. As our key contribution, we then…
math.NA2024
Spectral analysis of block preconditioners for double saddle-point linear systems with application to PDE-constrained optimization
Luca Bergamaschi, Angeles Martinez, John Pearson +1
In this paper, we describe and analyze the spectral properties of a symmetric positive definite inexact block preconditioner for a class of symmetric, double saddle-point linear sy…