1 citations · 1 across the 4 of their papers we have counts for
6 papers
Eigenvalue bounds for preconditioned symmetric multiple saddle-point matrices with block-triangular preconditioners
Luca Bergamaschi, Michele Bergamaschi, John W. Pearson
We develop eigenvalue bounds for symmetric, block-tridiagonal multiple saddle-point linear systems, preconditioned with block-triangular matrices, based on approximate Schur comple…
Carleman Linearization of Parabolic PDEs: Well-posedness, convergence, and efficient numerical methods
Bernhard Heinzelreiter, John W. Pearson
We explore how the analysis of the Carleman linearization can be extended to dynamical systems on infinite-dimensional Hilbert spaces with quadratic nonlinearities. We demonstrate…
Eigenvalue bounds for preconditioned symmetric multiple saddle-point matrices
L. Bergamaschi, A. Martinez, J. W. Pearson +1
We develop eigenvalue bounds for symmetric, block tridiagonal multiple saddle-point linear systems, preconditioned with block diagonal matrices. We extend known results for $3 \tim…
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…
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…
Double Saddle-Point Preconditioning for Krylov Methods in the Inexact Sequential Homotopy Method
John W. Pearson, Andreas Potschka
We derive an extension of the sequential homotopy method that allows for the application of inexact solvers for the linear (double) saddle-point systems arising in the local semism…