4 papers · 1 filter
A new randomized CholeskyQR based on LU decomposition with partial pivoting
Yuwei Fan, Haoran Guan, Zhonghua Qiao
CholeskyQR has received considerable attention in recent years for its efficiency and simplicity in computing QR decomposition of the tall-skinny wit…
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…
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 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…