3 papers
math.NA2025
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…
math.NA2024
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…
math.NA2024
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-…