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Supporting GENP with Random Multipliers

Numerical Analysis 2013-12-16 v1

Abstract

We prove that standard Gaussian random multipliers are expected to stabilize numerically both Gaussian elimination with no pivoting and block Gaussian elimination. Our tests show similar results where we applied circulant random multipliers instead of Gaussian ones.

Cite

@article{arxiv.1312.3805,
  title  = {Supporting GENP with Random Multipliers},
  author = {Victor Y. Pan and Guoliang Qian and Xiaodong Yan},
  journal= {arXiv preprint arXiv:1312.3805},
  year   = {2013}
}

Comments

14 pages

R2 v1 2026-06-22T02:27:01.875Z