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most citedDouble Saddle-Point Preconditioning for Krylov Methods in the Inexact Sequential Homotopy Method

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math.NA2025

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…

math.NA2025

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…