Zobrazeno 1 - 10
of 105
pro vyhledávání: '"DURASTANTE, FABIO"'
In this paper we propose a model for describing advection dynamics on distance-weighted directed graphs. To this end we establish a set of key properties, or axioms, that a discrete advection operator should satisfy, and prove that there exists an es
Externí odkaz:
http://arxiv.org/abs/2410.11352
We investigate the problem of enforcing a desired centrality measure in complex networks, while still keeping the original pattern of the network. Specifically, by representing the network as a graph with suitable nodes and weighted edges, we focus o
Externí odkaz:
http://arxiv.org/abs/2409.02524
In this paper, we propose some Chebyshev polynomials of the 1st-kind which produce optimal bound for a polynomial dependent constant involved in the AMG $V$-cycle error bound and do not require information about the spectrum of matrices. We formulate
Externí odkaz:
http://arxiv.org/abs/2407.09848
In this chapter, we describe the Parallel Sparse Computation Toolkit (PSCToolkit), a suite of libraries for solving large-scale linear algebra problems in an HPC environment. In particular, we focus on the tools provided for the solution of symmetric
Externí odkaz:
http://arxiv.org/abs/2406.19754
Publikováno v:
Linear Algebra and its Applications 703 (2024) 137-16
Given a stochastic matrix $P$ partitioned in four blocks $P_{ij}$, $i,j=1,2$, Kemeny's constant $\kappa(P)$ is expressed in terms of Kemeny's constants of the stochastic complements $P_1=P_{11}+P_{12}(I-P_{22})^{-1}P_{21}$, and $P_2=P_{22}+P_{21}(I-P
Externí odkaz:
http://arxiv.org/abs/2312.13201
Autor:
Durastante, Fabio, Meini, Beatrice
Publikováno v:
SIAM Journal on Matrix Analysis and Applications 45(2), (2024), 875-904
We propose two approaches, based on Riemannian optimization, for computing a stochastic approximation of the $p$th root of a stochastic matrix $A$. In the first approach, the approximation is found in the Riemannian manifold of positive stochastic ma
Externí odkaz:
http://arxiv.org/abs/2307.14040
Autor:
Aceto, Lidia, Durastante, Fabio
Publikováno v:
Adv Comput Math 50, 109 (2024)
This work deals with the numerical solution of systems of oscillatory second-order differential equations which often arise from the semi-discretization in space of partial differential equations. Since these differential equations exhibit (pronounce
Externí odkaz:
http://arxiv.org/abs/2304.09676
Autor:
Aceto, Lidia, Durastante, Fabio
In this article, we focus on the error that is committed when computing the matrix logarithm using the Gauss--Legendre quadrature rules. These formulas can be interpreted as Pad\'e approximants of a suitable Gauss hypergeometric function. Empirical o
Externí odkaz:
http://arxiv.org/abs/2211.06206
Publikováno v:
J. Supercomput 80, 13533-13556 (2024)
In this paper, we describe an upgrade of the Alya code with up-to-date parallel linear solvers capable of achieving reliability, efficiency and scalability in the computation of the pressure field at each time step of the numerical procedure for solv
Externí odkaz:
http://arxiv.org/abs/2210.16660
Publikováno v:
In Linear Algebra and Its Applications 15 December 2024 703:137-162
