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Abstract
For solving a linear system with a large-scale coefficient matrix which is stored in a factorised form, we present a new interlaced randomised iterative method. The new method can take advantage of the factored form and avoid performing matrix multiplications. Furthermore, its convergence property is studied and theoretical analysis reveals that it is linearly convergent. Finally, some numerical results are given to confirm the effectiveness of the proposed method.
Acknowledgments
The authors are grateful to the editors and referees for their valuable comments and suggestions which helped to improve the original manuscript of this paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
The work is supported by the National Natural Science Foundation of China [Grant Nos. 11961048 and 12061009] and by Jiangxi Provincial Natural Science Foundation [Grant Nos. 20181ACB20001 and 20202BAB201002].