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Articles

An EM-based iterative method for solving large sparse linear systems

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Pages 45-62 | Received 22 Dec 2017, Accepted 29 Jun 2018, Published online: 23 Jul 2018
 

ABSTRACT

We propose a novel iterative algorithm for solving a large sparse linear system. The method is based on the EM algorithm. If the system has a unique solution, the algorithm guarantees convergence with a geometric rate. Otherwise, convergence to a minimal Kullback–Leibler divergence point is guaranteed. The algorithm is easy to code and competitive with other iterative algorithms.

AMS/MSC SUBJECT CLASSIFICATION:

Acknowledgements

The authors are grateful for the reviewer's helpful comments on a previous version of this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The second author is partially supported by NSF grant DMS (Division of Mathematical Sciences) No. 1612891.

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