28 citations · 222 across the 42 of their papers we have counts for
5 papers · 2 filters
A Transformation Approach that Makes SPAI, PSAI and RSAI Procedures Efficient for Large Double Irregular Nonsymmetric Sparse Linear Systems
Zhongxiao Jia, Wenjie Kang
A sparse matrix is called double irregular sparse if it has at least one relatively dense column and row, and it is double regular sparse if all the columns and rows of it are spar…
A Residual Based Sparse Approximate Inverse Preconditioning Procedure for Large Sparse Linear Systems
Zhongxiao Jia, Wenjie Kang
The SPAI algorithm, a sparse approximate inverse preconditioning technique for large sparse linear systems, proposed by Grote and Huckle [SIAM J. Sci. Comput., 18 (1997), pp.~838--…
On Regularizing Effects of MINRES and MR-II for Large-Scale Symmetric Discrete Ill-Posed Problems
Yi Huang, Zhongxiao Jia
For large scale symmetric discrete ill-posed problems, MINRES and MR-II are often used iterative regularization solvers. We call a regularized solution best possible if it is at le…
Some Results on the Regularization of LSQR for Large-Scale Discrete Ill-Posed Problems
Yi Huang, Zhongxiao Jia
LSQR, a Lanczos bidiagonalization based Krylov subspace iterative method, and its mathematically equivalent CGLS applied to normal equations system, are commonly used for large-sca…
Some Results on Regularization of LSQR and CGLS for Large-Scale Discrete Ill-Posed Problems
Yi Huang, Zhongxiao Jia
For large-scale discrete ill-posed problems, LSQR, a Lanczos bidiagonalization process based Krylov method, is most often used. It is well known that LSQR has natural regularizing…