2 citations · 3 across the 4 of their papers we have counts for
6 papers · 1 filter
Accelerating the Computation of Tensor -eigenvalues
Sara Pollock, Rhea Shroff
Efficient solvers for tensor eigenvalue problems are important tools for the analysis of higher-order data sets. Here we introduce, analyze and demonstrate an extrapolation method…
Extrapolating the Arnoldi Algorithm To Improve Eigenvector Convergence
Sara Pollock, L. Ridgway Scott
We consider extrapolation of the Arnoldi algorithm to accelerate computation of the dominant eigenvalue/eigenvector pair. The basic algorithm uses sequences of Krylov vectors to fo…
A simple extrapolation method for clustered eigenvalues
Nilima Nigam, Sara Pollock
This paper introduces a simple variant of the power method. It is shown analytically and numerically to accelerate convergence to the dominant eigenvalue/eigenvector pair; and, it…
Acceleration of nonlinear solvers for natural convection problems
Sara Pollock, Leo G. Rebholz, Mengying Xiao
This paper develops an efficient and robust solution technique for the steady Boussinesq model of non-isothermal flow using Anderson acceleration applied to a Picard iteration. Aft…
Fast convergence to higher multiplicity zeros
Sara Pollock
In this paper, the Newton-Anderson method, which results from applying an extrapolation technique known as Anderson acceleration to Newton's method, is shown both analytically and…
Benchmarking results for the Newton-Anderson method
Sara Pollock, Hunter Schwartz
This paper primarily presents numerical results for the Anderson accelerated Newton method on a set of benchmark problems. The results demonstrate superlinear convergence to soluti…