3 papers
cs.MS2026
The mmatrix toolbox: componentwise accurate algorithms for M-matrices with triplet representation
Bruno Iannazzo, Mehdi Najafi Kalyani, Federico Poloni
We introduce the mmatrix toolbox, a Matlab software package for componentwise accurate computations with M-matrices described through left or right triplet representations. The cor…
math.NA2025
Error analysis of Abate--Whitt methods for Inverse Laplace Transforms and a new algorithm for queuing theory applications
Nikita Deniskin, Federico Poloni
We study the accuracy of a class of methods to compute the Inverse Laplace Transform, the so-called \emph{Abate--Whitt methods} [Abate, Whitt 2006], which are based on a linear com…
math.NA2025
Accuracy and componentwise accuracy in multilinear PageRank
Mehdi Najafi Kalyani, Federico Poloni
We study the stability with respect to perturbations and the accuracy of numerical algorithms for computing solutions to the multilinear PageRank problem $\mathbf{x} = (1-α)\mathb…