Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Hussam Al Daas"'
Autor:
Hussam Al Daas, Grey Ballard, Paul Cazeaux, Eric Hallman, Agnieszka Międlar, Mirjeta Pasha, Tim W. Reid, Arvind K. Saibaba
Publikováno v:
SIAM Journal on Scientific Computing. 45:A74-A95
The Tensor-Train (TT) format is a highly compact low-rank representation for high-dimensional tensors. TT is particularly useful when representing approximations to the solutions of certain types of parametrized partial differential equations. For ma
Publikováno v:
Proceedings of the 35th ACM Symposium on Parallelism in Algorithms and Architectures
SPAA '23-ACM Symposium on Parallelism in Algorithms and Architectures
SPAA '23-ACM Symposium on Parallelism in Algorithms and Architectures, Jun 2023, Orlando, United States. ⟨10.1145/3558481.3591072⟩
SPAA '23-ACM Symposium on Parallelism in Algorithms and Architectures
SPAA '23-ACM Symposium on Parallelism in Algorithms and Architectures, Jun 2023, Orlando, United States. ⟨10.1145/3558481.3591072⟩
International audience; In this paper, we focus on the parallel communication cost of multiplying a matrix with its transpose, known as a symmetric rank-k update (SYRK). SYRK requires half the computation of general matrix multiplication because of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ebc6955e7f8dba293cb3ba31ce5caf2
https://inria.hal.science/hal-04076513
https://inria.hal.science/hal-04076513
Publikováno v:
Proceedings of the 34th ACM Symposium on Parallelism in Algorithms and Architectures.
Recycling Krylov Subspaces and Truncating Deflation Subspaces for Solving Sequence of Linear Systems
Publikováno v:
ACM Transactions on Mathematical Software
ACM Transactions on Mathematical Software, 2021, 47 (2), pp.1-30. ⟨10.1145/3439746⟩
ACM Transactions on Mathematical Software, Association for Computing Machinery, 2021, 47 (2), pp.1-30. ⟨10.1145/3439746⟩
ACM Transactions on Mathematical Software, 2021, 47 (2), pp.1-30. ⟨10.1145/3439746⟩
ACM Transactions on Mathematical Software, Association for Computing Machinery, 2021, 47 (2), pp.1-30. ⟨10.1145/3439746⟩
International audience; This article presents deflation strategies related to recycling Krylov subspace methods for solving one or a sequence of linear systems of equations. Besides well-known strategies of deflation, Ritz-, and harmonic Ritz-based d
Publikováno v:
2022 IEEE International Parallel and Distributed Processing Symposium (IPDPS).
Autor:
Hussam Al Daas, Pierre Jolivet
Domain decomposition (DD) methods are widely used as preconditioner techniques. Their effectiveness relies on the choice of a locally constructed coarse space. Thus far, this construction was mostly achieved using non-assembled matrices from discreti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce878d06758f8b082aad0b4b1f7f2961
http://arxiv.org/abs/2109.05908
http://arxiv.org/abs/2109.05908
Autor:
Laura Grigori, Hussam Al Daas
Publikováno v:
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics, In press
SIAM Journal on Matrix Analysis and Applications, 2019, 40 (1), pp.66-91. ⟨10.1137/18M1194365⟩
SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics, 2019, 40 (1), pp.66-91. ⟨10.1137/18M1194365⟩
SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics, In press
SIAM Journal on Matrix Analysis and Applications, 2019, 40 (1), pp.66-91. ⟨10.1137/18M1194365⟩
SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics, 2019, 40 (1), pp.66-91. ⟨10.1137/18M1194365⟩
International audience; In this paper we present a class of robust and fully algebraic two-level preconditioners for symmetric positive definite (SPD) matrices. We introduce the notion of algebraic local symmetric positive semidefinite splitting of a
Publikováno v:
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2021, 43 (3), pp.A1907-A1928. ⟨10.1137/19M1266964⟩
SIAM Journal on Scientific Computing, 2021, 43 (3), pp.A1907-A1928. ⟨10.1137/19M1266964⟩
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2021, 43 (3), pp.A1907-A1928. ⟨10.1137/19M1266964⟩
SIAM Journal on Scientific Computing, 2021, 43 (3), pp.A1907-A1928. ⟨10.1137/19M1266964⟩
International audience; In this paper we present a multilevel preconditioner based on overlapping Schwarz methods for symmetric positive definite (SPD) matrices. Robust two-level Schwarz preconditioners exist in the literature to guarantee fast conve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1805b1adc558baa6df555a9dd0a1ab78
https://hal.archives-ouvertes.fr/hal-02151184v2/document
https://hal.archives-ouvertes.fr/hal-02151184v2/document
Randomized methods are becoming increasingly popular in numerical linear algebra. However, few attempts have been made to use them in developing preconditioners. Our interest lies in solving large-scale sparse symmetric positive definite linear syste
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3a1b7b32027b8fc427101aff2cb966a
http://arxiv.org/abs/2101.12164
http://arxiv.org/abs/2101.12164
Solving the normal equations corresponding to large sparse linear least-squares problems is an important and challenging problem. For very large problems, an iterative solver is needed and, in general, a preconditioner is required to achieve good con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ab5723c54706094bdb29ee12f50ff024