From the 1 of 6 linked papers with an AI index.
6 papers
RCLUPPr: a new randomized CholeskyQR with LU preconditioning
Haoran Guan, Zhenyu Zou, Yufeng Wei +3
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 decompo…
A new randomized CholeskyQR based on LU decomposition with partial pivoting
Yuwei Fan, Haoran Guan, Zhonghua Qiao
The paper introduces RCLUPP, a randomized QR factorization method that uses LU decomposition with partial pivoting and matrix sketching to improve efficiency and robustness over ex…
Analysis of randomized CholeskyQR for sparse matrices
Haoran Guan, Yuwei Fan
This work is about rounding error analysis of randomized CholeskyQR-type algorithms for sparse matrices. We often encounter QR factorization of the sparse matrices in many real pro…
Shifted CholeskyQR for sparse matrices
Haoran Guan, Yuwei Fan
In this work, we focus on Shifted CholeskyQR (SCholeskyQR) for sparse matrices. We provide a new shifted item for Shifted CholeskyQR3 (SCholeskyQR3) based on the number of non-…
An improved error analysis of CholeskyQR with the randomized model
Haoran Guan, Yuwei Fan
This work is about an improved error analysis of CholeskyQR with the randomized model for the tall-skinny . Due to the structure of CholeskyQR, we uti…
An improved Shifted CholeskyQR based on columns
Yuwei Fan, Haoran Guan, Zhonghua Qiao
Among all the deterministic CholeskyQR-type algorithms, Shifted CholeskyQR3 is specifically designed to address the QR factorization of ill-conditioned matrices. This algorithm int…