I/O-Optimal Algorithms for Symmetric Linear Algebra Kernels

Author:

Beaumont Olivier1,Eyraud-Dubois Lionel1,Langou Julien2,Vérité Mathieu1

Affiliation:

1. Inria Centre at the University of Bordeaux, Bordeaux, France

2. University of Colorado Denver, Denver, CO, USA

Funder

Agence Nationale de la Recherche, France

Publisher

ACM

Reference18 articles.

1. Communication lower bounds and optimal algorithms for numerical linear algebra

2. Grey Ballard , James Demmel , Olga Holtz , and Oded Schwartz . 2009. Communication-optimal Parallel and Sequential Cholesky Decomposition. CoRR abs/0902.2537 ( 2009 ). Grey Ballard, James Demmel, Olga Holtz, and Oded Schwartz. 2009. Communication-optimal Parallel and Sequential Cholesky Decomposition. CoRR abs/0902.2537 (2009).

3. Communication-optimal Parallel and Sequential Cholesky Decomposition

4. Minimizing Communication in Numerical Linear Algebra

5. Out-of-Core Implementations of Cholesky Factorization: Loop-Based versus Recursive Algorithms

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3. Data Distribution Schemes for Dense Linear Algebra Factorizations on Any Number of Nodes;2023 IEEE International Parallel and Distributed Processing Symposium (IPDPS);2023-05

4. On the Arithmetic Intensity of Distributed-Memory Dense Matrix Multiplication Involving a Symmetric Input Matrix (SYMM);2023 IEEE International Parallel and Distributed Processing Symposium (IPDPS);2023-05

5. Symmetric Block-Cyclic Distribution: Fewer Communications Leads to Faster Dense Cholesky Factorization;SC22: International Conference for High Performance Computing, Networking, Storage and Analysis;2022-11

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