5 citations · 5 across the 5 of their papers we have counts for
5 papers
MadNCL: A GPU Implementation of Algorithm NCL for Large-Scale, Degenerate Nonlinear Programs
Alexis Montoison, François Pacaud, Michael Saunders +2
We present a GPU implementation of Algorithm NCL, an augmented Lagrangian method for solving large-scale and degenerate nonlinear programs. Although interior-point methods and sequ…
MinAres: An Iterative Solver for Symmetric Linear Systems
Alexis Montoison, Dominique Orban, Michael A. Saunders
We introduce an iterative solver named MINARES for symmetric linear systems , where is possibly singular. MINARES is based on the symmetric Lanczos process, like…
GPMR: An Iterative Method for Unsymmetric Partitioned Linear Systems
Alexis Montoison, Dominique Orban
We introduce an iterative method named GPMR for solving 2x2 block unsymmetric linear systems. GPMR is based on a new process that reduces simultaneously two rectangular matrices to…
TriCG and TriMR: Two Iterative Methods for Symmetric Quasi-Definite Systems
Alexis Montoison, Dominique Orban
We introduce iterative methods named TriCG and TriMR for solving symmetric quasi-definite systems based on the orthogonal tridiagonalization process proposed by Saunders, Simon and…
BiLQ: An Iterative Method for Nonsymmetric Linear Systems with a Quasi-Minimum Error Property
Alexis Montoison, Dominique Orban
We introduce an iterative method named BiLQ for solving general square linear systems Ax = b based on the Lanczos biorthogonalization process defined by least-norm subproblems, and…