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Author

Haoran Guan

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Preprint Jul 2026

Analysis of RCLUPPr: stability, robustness and acceleration

A comprehensive rounding error analysis for RCLUPPr demonstrates that RCLUPPr exhibits superior robustness when applied to the ill-conditioned matrices compared to other CholeskyQR-type algorithms in the high precision.

Hao-Ran Guan, Zhenyu Zou, Yufeng Wei et al. · 1 citation
Preprint Jul 2026

RCLUPPr: a new randomized CholeskyQR with LU preconditioning

In this work, we present the comprehensive rounding error analysis of RCLUPPr proposed in \cite{RCLUPP}, which is a novel randomized CholeskyQR-type algorithm performing LU decomposition with partial pivoting (LUPP decomposition) directly on the tall-skinny $X\in\mathbb{R}^{m\times n}$ with $m \ge n$ and $\mbox{rank}(X...

Haoran Guan, Zhenyu Zou, Yufeng Wei et al. · 0 citations

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