Fetching the paper…
Reading the bibliography…
A Monte Carlo method for computing the action of a matrix exponential for a certain class of matrices on a vector is proposed.
Matrix inversion by a Monte Carlo method
G. Forsythe, and R. Leibler, · 1950
Earlier work this paper cites.
Laplacian matrices of graphs: A survey
R. Merris, · 1994
Earlier work this paper cites.
A new highly convergent Monte Carlo method for matrix computations
I. T. Dimov, and V.N. Alexandrov, · 1998
Earlier work this paper cites.
A numerical study of large sparse matrix exponentials arising in Markov chains
R.B. Sidjea, and W.J. Stewart, · 1999
Earlier work this paper cites.
Approximating Integrals Via Monte Carlo and Deterministic Methods
M. Evans, and T. Swartz, · 2000
Earlier work this paper cites.
Error bounds for exponential operator splittings
T. Jahnke, and C. Lubich, · 2000
Earlier work this paper cites.
Parallel resolvent Monte Carlo algorithms for linear algebra problems
I. T. Dimov, V.N. Alexandrov, and A. Karaivanova, · 2001
Earlier work this paper cites.
Domain decomposition solution of elliptic boundary-value problems
J.A. Acebrón, M.P. Busico, P. Lanucara, and R. Spigler, · 2005
Earlier work this paper cites.
TotalRank: Ranking without Damping
P. Boldi, · 2005
Earlier work this paper cites.
Partial Differential Equations: Modeling, Analysis, Computation
R.M.M. Mattheij, S.W. Rienstra, and J.H.M. ten Thije Boonkkamp, · 2005
Earlier work this paper cites.
Solving linear equations by Monte Carlo simulation
G. Ökten, · 2005
Earlier work this paper cites.
Implementation of a restarted Krylov subspace method for the evaluation of matrix functions
M. Afanasjew, M. Eiermann, O.G. Ernst, and S. Güttel, · 2008
Cited alongside, same era.
Monte Carlo Methods for Applied Scientists
I.T. Dimov, · 2008
Cited alongside, same era.
Functions of matrices: Theory and Computation
N.J. Higham, and A. H. Al-Mohy, · 2008
Cited alongside, same era.
Monte Carlo methods for electromagnetics
M.N.O. Sadiku, · 2009
Cited alongside, same era.
Quadrature rule-based bounds for functions of adjacency matrices
M. Benzi, and P. Boito, · 2010
Cited alongside, same era.
Moments and Quadrature with Applications,
G.H. Golub, and G. Meurant, Matrices, · 2010
Cited alongside, same era.
The physics of communicability in complex networks
E. Estrada, N. Hatano, and M. Benzi, · 2012
Later among the works it cites.
Approximating the exponential, the lanczos method and an O (m)-time spectral algorithm for balanced separator
L. Orecchia, S. Sachdeva, and N. K. Vishnoi, · 2012
Later among the works it cites.
Highly efficient numerical algorithm based on random trees for accelerating parallel Vlasov-Poisson simulations
J.A. Acebrón, and A. Rodríguez-Rozas, · 2013
Later among the works it cites.
Ranking hubs and authorities using matrix functions
M. Benzi, E. Estrada, and C. Klymko, · 2013
Later among the works it cites.
Total communicability as a centrality measure
M. Benzi, and C. Klymko, · 2013
Later among the works it cites.
Convergence Analysis of Markov Chain Monte Carlo Linear Solvers Using Ulam–von Neumann Algorithm
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Computing matrix functions, Acta Numer., 19 (2010) pp. 159–208
N.J. Higham, and A. H. Al-Mohy, · 2010
Cited alongside, same era.
Exponential integrators
M. Hochbruck, and A. Ostermann, · 2010
Cited alongside, same era.
Computing the Matrix Exponential in Burnup Calculations
M. Pusa, and J. Leppänen, · 2010
Cited alongside, same era.
Computing the Action of the Matrix Exponential with an Application to Exponential Integrators
A. H. Al-Mohy, and N.J. Higham, · 2011
Cited alongside, same era.
Circuit Simulation by Matrix Exponential Method
S.H. Weng, Q. Chen, and C.K. Cheng, · 2011
Cited alongside, same era.
http://www.maths.strath.ac.uk/research/groups/numerical_analysis/contest
Cited in the paper.
H. Ji, M. Mascagni, and Y. Li, · 2013
Later among the works it cites.
Power Grid Simulation using Matrix Exponential Method with Rational Krylov Subspaces
H. Zhuang, S.H. Weng, and C.K Cheng, · 2013
Later among the works it cites.
A new Walk on Equations Monte Carlo method for solving systems of linear algebraic equations
I. Dimov, S. Maire, and J.M. Sellier, · 2015
Later among the works it cites.
An Efficient Algorithm for Accelerating Monte Carlo Approximations of the Solution to Boundary Value Problems
S. Mancini, F. Bernal, and J.A. Acebrón, · 2016
Later among the works it cites.
The Leja Method Revisited: Backward Error Analysis for the Matrix Exponential
M. Caliari, P. Kandolf, A. Ostermann, and S. Rainer, · 2016
Later among the works it cites.
Analysis of Monte Carlo accelerated iterative methods for sparse linear systems
M. Benzi, T.M. Evans, S.P. Hamilton, M.L. Pasini, and S.R. Slattery, · 2017
Later among the works it cites.