4 papers
Deflation-Based Spectral Preconditioning for the Conjugate Gradient Method on Perturbed Systems
Youssef Diouane, Selime Gürol, Oussama Mouhtal +1
We consider sequences of large symmetric positive-definite linear systems in which spectral information from a reference matrix is reused to accelerate the solution of a nearby…
Quasi-Newton and Krylov Methods for the Solution of Nonconvex Trust-Region Subproblems
Johann Bourhis, Oihan Cordelier, Jean-Pierre Dussault +2
We study the solution of symmetric positive-definite linear systems by way of families of full- and limited-memory methods. Our contributions are threefold. We first derive new rel…
A Spectral Preconditioner for the Conjugate Gradient Method with Iteration Budget
Youssef Diouane, Selime Gürol, Oussama Mouhtal +1
We study the solution of large symmetric positive-definite linear systems in a matrix-free setting with a limited iteration budget. We focus on the preconditioned conjugate gradien…
An Efficient Scaled spectral preconditioner for sequences of symmetric positive definite linear systems
Youssef Diouane, Selime Gürol, Oussama Mouhtal +1
We explore a scaled spectral preconditioner for the efficient solution of sequences of symmetric and positive-definite linear systems. We design the scaled preconditioner not only…