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Solving sparse linear systems with approximate inverse preconditioners on analog devices

Emerging Technologies 2021-07-16 v1

Abstract

Sparse linear system solvers are computationally expensive kernels that lie at the heart of numerous applications. This paper proposes a flexible preconditioning framework to substantially reduce the time and energy requirements of this task by utilizing a hybrid architecture that combines conventional digital microprocessors with analog crossbar array accelerators. Our analysis and experiments with a simulator for analog hardware demonstrate that an order of magnitude speedup is readily attainable without much impact on convergence, despite the noise in analog computations.

Keywords

Cite

@article{arxiv.2107.06973,
  title  = {Solving sparse linear systems with approximate inverse preconditioners on analog devices},
  author = {Vasileios Kalantzis and Anshul Gupta and Lior Horesh and Tomasz Nowicki and Mark S. Squillante and Chai Wah Wu},
  journal= {arXiv preprint arXiv:2107.06973},
  year   = {2021}
}
R2 v1 2026-06-24T04:12:28.036Z