Programming parallel dense matrix factorizations and inversion for new-generation NUMA architectures

[EN] We propose a methodology to address the programmability issues derived from the emergence of newgeneration shared-memory NUMA architectures. For this purpose, we employ dense matrix factorizations and matrix inversion (DMFI) as a use case, and we target two modern architectures (AMD Rome and Hu...

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Bibliographic Details
Authors: Catalán, Sandra, Igual, Francisco D., Herrero, José R., Rodríguez-Sánchez, Rafael, Quintana-Ortí, Enrique S.|||0000-0002-5454-165X
Format: article
Publication Date:2023
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/204242
Online Access:https://riunet.upv.es/handle/10251/204242
Access Level:Open access
Keyword:NUMA architectures
Chiplets
Dense linear algebra
Shared memory programming
Portability
ARQUITECTURA Y TECNOLOGIA DE COMPUTADORES
Description
Summary:[EN] We propose a methodology to address the programmability issues derived from the emergence of newgeneration shared-memory NUMA architectures. For this purpose, we employ dense matrix factorizations and matrix inversion (DMFI) as a use case, and we target two modern architectures (AMD Rome and Huawei Kunpeng 920) that exhibit configurable NUMA topologies. Our methodology pursues performance portability across different NUMA configurations by proposing multi-domain implementations for DMFI plus a hybrid task- and loop-level parallelization that configures multi-threaded executions to fix core-todata binding, exploiting locality at the expense of minor code modifications. In addition, we introduce a generalization of the multi-domain implementations for DMFI that offers support for virtually any NUMA topology in present and future architectures. Our experimentation on the two target architectures for three representative dense linear algebra operations validates the proposal, reveals insights on the necessity of adapting both the codes and their execution to improve data access locality, and reports performance across architectures and inter- and intra-socket NUMA configurations competitive with state-of-the-art message-passing implementations, maintaining the ease of development usually associated with shared-memory programming.