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math.NA2026
An Integral-Based Framework for Preconditioning
Gustavo Ramirez-Hidalgo
The computation of the action of a matrix function on a vector, , is a major computational bottleneck for large, sparse matrices, particularly when unfavorable spectral dist…
math.NA2021★ 1 cited
A Multilevel Approach to Variance Reduction in the Stochastic Estimation of the Trace of a Matrix
Andreas Frommer, Mostafa Nasr Khalil, Gustavo Ramirez-Hidalgo
The trace of a matrix function f(A), most notably of the matrix inverse, can be estimated stochastically using samples< x,f(A)x> if the components of the random vectors x obey an a…