4 papers
Accelerating a restarted Krylov method for matrix functions with randomization
Nicolas L. Guidotti, Per-Gunnar Martinsson, Juan A. Acebrón +1
Many scientific applications require the evaluation of the action of a matrix function on a vector, and Krylov subspace methods are the most common ones for this task. Since the or…
Sensitivity analysis of fractional linear systems based on random walks with negligible memory usage
Andrés Centeno, Juan A. Acebrón, José Monteiro
A random walk-based method is proposed to efficiently compute the solution of a large class of fractional in time linear systems of differential equations (linear F-ODE systems), a…
Parallelization Strategies for the Randomized Kaczmarz Algorithm on Large-Scale Dense Systems
Inês Ferreira, Juan A. Acebrón, José Monteiro
The Kaczmarz algorithm is an iterative technique designed to solve consistent linear systems of equations. It falls within the category of row-action methods, focusing on handling…
Survey of a Class of Iterative Row-Action Methods: The Kaczmarz Method
Inês A. Ferreira, Juan A. Acebrón, José Monteiro
The Kaczmarz algorithm is an iterative method that solves linear systems of equations. It stands out among iterative algorithms when dealing with large systems for two reasons. Fir…