2 citations · 4 across the 7 of their papers we have counts for
7 papers
Implementing Recycling Methods for Linear Systems in Python with an Application to Multiple Objective Optimization
Ainara Garcia, Sihong Xie, Arielle Carr
Sequences of linear systems arise in the predictor-corrector method when computing the Pareto front for multi-objective optimization. Rather than discarding information generated w…
Analysis of GMRES for Low-Rank and Small-Norm Perturbations of the Identity Matrix
Arielle K. Carr, Eric de Sturler, Mark Embree
In many applications, linear systems arise where the coefficient matrix takes the special form , where is the identity matrix of dimension $n…
Efficient first-order predictor-corrector multiple objective optimization for fair misinformation detection
Eric Enouen, Katja Mathesius, Sean Wang +2
Multiple-objective optimization (MOO) aims to simultaneously optimize multiple conflicting objectives and has found important applications in machine learning, such as minimizing c…
Iterated Gauss-Seidel GMRES
Stephen Thomas, Erin Carson, Miro Rozložník +2
The GMRES algorithm of Saad and Schultz (1986) is an iterative method for approximately solving linear systems , with initial guess and residual ${\bf…
Neumann Series in GMRES and Algebraic Multigrid Smoothers
Stephen Thomas, Arielle Carr, Paul Mullowney +2
Neumann series underlie both Krylov methods and algebraic multigrid smoothers. A low-synch modified Gram-Schmidt (MGS)-GMRES algorithm is described that employs a Neumann series to…
ILU Smoothers for Low Mach Navier-Stokes Pressure Solvers
Stephen Thomas, Arielle Carr, Paul Mullowney +2
Incomplete LU (ILU) smoothers are effective in the algebraic multigrid (AMG) -cycle for reducing high-frequency components of the error. However, the requisite direct triangular…
Preconditioning Parametrized Linear Systems
Arielle Grim-McNally, Eric de Sturler, Serkan Gugercin
Preconditioners are generally essential for fast convergence in the iterative solution of linear systems of equations. However, the computation of a good preconditioner can be expe…