2 citations · 2 across the 2 of their papers we have counts for
7 papers · 1 filter
Spectral Analysis of Block Diagonally Preconditioned Multiple Saddle-Point Matrices with Inexact Schur Complements
Marco Pilotto, Luca Bergamaschi, Angeles Martinez
We derive eigenvalue bounds for symmetric block-tridiagonal multiple saddle-point systems preconditioned with block-diagonal Schur complement matrices. This analysis applies to an…
Triangular preconditioners for double saddle point linear systems arising in the mixed form of poroelasticity equations
Luca Bergamaschi, Massimiliano Ferronato, Angeles Martinez
In this paper, we study a class of inexact block triangular preconditioners for double saddle-point symmetric linear systems arising from the mixed finite element and mixed hybrid…
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…
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…
Parallel Newton-Chebyshev Polynomial Preconditioners for the Conjugate Gradient method
Luca Bergamaschi, Angeles Martinez
In this note we exploit polynomial preconditioners for the Conjugate Gradient method to solve large symmetric positive definite linear systems in a parallel environment. We put in…
Compact Quasi-Newton preconditioners for SPD linear systems
Luca Bergamaschi, Jose Marin, Angeles Martinez
In this paper preconditioners for the Conjugate Gradient method are studied to solve the Newton system with symmetric positive definite Jacobian. In particular, we define a sequenc…