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Current Chinese Science

Editor-in-Chief

ISSN (Print): 2210-2981
ISSN (Online): 2210-2914

Mini-Review Article Section: Computer Science

High-Performance Computing for Density Matrix Renormalization Group

Author(s): Yingqi Tian* and Haibo Ma

Volume 3, Issue 3, 2023

Published on: 29 December, 2022

Page: [178 - 186] Pages: 9

DOI: 10.2174/2210298103666221125162959

Price: $65

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Abstract

In the last decades, many algorithms have been developed to use high-performance computing (HPC) techniques to accelerate the density matrix renormalization group (DMRG) method, an effective method for solving large active space strong correlation problems. In this article, the previous DMRG parallelization algorithms at different levels of the parallelism are introduced. The heterogeneous computing acceleration methods and the mixed-precision implementation are also presented and discussed. This mini-review concludes with some summary and prospects for future works.

Keywords: Density matrix renormalization group, high-performance computing, strong correlation, parallel computing, heterogeneous computing, mixed-precision optimization.

Graphical Abstract
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