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math.NA2014★ 1 cited
Random Multipliers Numerically Stabilize Gaussian and Block Gaussian Elimination: Proofs and an Extension to Low-rank Approximation
Victor Y. Pan, Guoliang Qian, Xiaodong Yan
We prove that standard Gaussian random multipliers are expected to numerically stabilize both Gaussian elimination with no pivoting and block Gaussian elimination. Moreover we prov…
math.NA2013★ 3 cited
Supporting GENP with Random Multipliers
Victor Y. Pan, Guoliang Qian, Xiaodong Yan
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 s…