3 papers
math.NA2023
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…
math.NA2021
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…
math.NA2021
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…