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cs.DC2024
Communication Lower Bounds and Optimal Algorithms for Symmetric Matrix Computations
Hussam Al Daas, Grey Ballard, Laura Grigori +3
In this article, we focus on the communication costs of three symmetric matrix computations: i) multiplying a matrix with its transpose, known as a symmetric rank-k update (SYRK) i…
math.NA2024
Matrix perturbation analysis of methods for extracting singular values from approximate singular subspaces
Lorenzo Lazzarino, Hussam Al Daas, Yuji Nakatsukasa
Given (orthonormal) approximations and to the left and right subspaces spanned by the leading singular vectors of a matrix , we discuss methods to approx…
math.NA2024
A Robust Two-Level Schwarz Preconditioner For Sparse Matrices
Hussam Al Daas, Pierre Jolivet, Frédéric Nataf +1
This paper introduces a fully algebraic two-level additive Schwarz preconditioner for general sparse large-scale matrices. The preconditioner is analyzed for symmetric positive def…