2 citations · 3 across the 3 of their papers we have counts for
4 papers
Hermitian Preconditioning for a class of Non-Hermitian Linear Systems
Nicole Spillane
This work considers the convergence of GMRES for non-singular problems. GMRES is interpreted as the GCR method which allows for simple proofs of the convergence estimates. Precondi…
Toward a new fully algebraic preconditioner for symmetric positive definite problems
Nicole Spillane
A new domain decomposition preconditioner is introduced for efficiently solving linear systems Ax = b with a symmetric positive definite matrix A. The particularity of the new prec…
Fully algebraic domain decomposition preconditioners with adaptive spectral bounds
Loïc Gouarin, Nicole Spillane
In this article a new family of preconditioners is introduced for symmetric positive definite linear systems. The new preconditioners, called the AWG preconditioners (for Algebraic…
GenEO spectral coarse spaces in SPD domain decomposition
Nicole Spillane
Two-level domain decomposition methods are preconditioned Krylov solvers. What separates one- and two-level domain decomposition methods is the presence of a coarse space in the la…