2 citations · 3 across the 13 of their papers we have counts for
14 papers
Conditioning of solutions to the Sylvester equation
Massimiliano Fasi, Behnam Hashemi
We partially answer an open problem, posed by Nick Higham, concerning the conditioning of solutions to Sylvester and Lyapunov equations. The question arises in the backward stabili…
Probabilistic Error Analysis of Limited-Precision Stochastic Rounding: Horner's Algorithm and Pairwise Summation
El-Mehdi El Arar, Massimiliano Fasi, Silviu-Ioan Filip +1
Stochastic rounding (SR) is a probabilistic rounding mode that mitigates errors in large-scale numerical computations, especially when prone to stagnation effects. Beyond numerical…
What is New in Stochastic Rounding: a Survey on Theory, Hardware, and Applications
El-Mehdi El Arar, Massimiliano Fasi, Silviu-Ioan Filip +1
Stochastic rounding (SR) is a probabilistic method used to round numbers to floating-point and fixed-point representations. In length summation, the worst-case error of SR grow…
An Efficient Batch Solver for the Singular Value Decomposition on GPUs
Ahmad Abdelfattah, Massimiliano Fasi
The singular value decomposition (SVD) is a powerful tool in modern numerical linear algebra, which underpins computational methods such as principal component analysis (PCA), low-…
Exact quantum dynamics of Fermi--Hubbard systems using the Gaussian phase-space representation with diffusion gauges
F Rousse, M Fasi, A Dmytryshyn +3
We use the Gaussian Phase-Space Representation to solve the real-time dynamic of interacting fermions in 1D, 2D, and 3D systems. The method is exact up to a spiking point, which re…
Computing matrix functions associated with a Hermitian-definite pencil
Dario A. Bini, Massimiliano Fasi, Bruno Iannazzo
We consider the numerical evaluation of the quantity , where is Hermitian positive definite, is Hermitian, and is a function defined on the spectrum of $A^…