6 papers · 1 filter
RPLSS: A randomized projected linear systems solver
Meng-Long Xiao, Tao Li, Deanna Needell
The projected linear system solver (PLSS), by incrementally appending columns to a random or deterministic sketching matrix, provides an attractive finite termination property for…
Structure preserving quaternion conjugate gradient-type methods for solving non-Hermitian quaternion linear systems
Baohua Huang, Tao Li, Wen Li
In this paper, we consider the non-Hermitian quaternion linear systems arising from color image restoration and three-dimensional signal filtering problems. For exploring to solve…
Two-dimensional greedy randomized Kaczmarz methods for solving large-scale linear systems
Tao Li, Meng-Long Xiao, Xin-Fang Zhang
In this paper, we consider a novel two-dimensional randomized Kaczmarz method and its improved version with simple random sampling, which chooses two active rows with probability p…
Two-dimensional greedy randomized extended Kaczmarz methods
Xin-Fang Zhang, Meng-Long Xiao, Tao Li
The randomized extended Kaczmarz method, proposed by Zouzias and Freris (SIAM J. Matrix Anal. Appl. 34: 773-793, 2013), is appealing for solving least-squares problems. However, it…
QQMR: A Structure-Preserving Quaternion Quasi-Minimal Residual Method for Non-Hermitian Quaternion Linear Systems
Tao Li, Qing-Wen Wang, Xin-Fang Zhang
The quaternion biconjugate gradient (QBiCG) method, as a novel variant of quaternion Lanczos-type methods for solving the non-Hermitian quaternion linear systems, does not yield a…
Gl-QFOM and Gl-QGMRES: two efficient algorithms for quaternion linear systems with multiple right-hand sides
Tao Li, Qing-Wen Wang, Xin-Fang Zhang
In this paper, we propose the global quaternion full orthogonalization (Gl-QFOM) and global quaternion generalized minimum residual (Gl-QGMRES) methods, which are built upon global…