Zhongxiao Jia

Publication Activity (10 Years)

Years Active: 1995-2024
Publications (10 Years): 34

Top Topics

Singular Value Decomposition

Top Venues

SIAM J. Matrix Anal. Appl.

J. Comput. Appl. Math.

Numer. Algorithms

Publications

Jinzhi Huang, Zhongxiao Jia
A Skew-Symmetric Lanczos Bidiagonalization Method for Computing Several Extremal Eigenpairs of a Large Skew-Symmetric Matrix. SIAM J. Matrix Anal. Appl. 45 (2) (2024)
Jinzhi Huang, Zhongxiao Jia
Preconditioning correction equations in Jacobi-Davidson type methods for computing partial singular value decompositions of large matrices. CoRR (2024)
Zhongxiao Jia, Kailiang Zhang
An Augmented Matrix-Based CJ-FEAST SVDsolver for Computing a Partial Singular Value Decomposition with the Singular Values in a Given Interval. SIAM J. Matrix Anal. Appl. 45 (1) (2024)
Zhongxiao Jia, Kailiang Zhang
An augmented matrix-based CJ-FEAST SVDsolver for computing a partial singular value decomposition with the singular values in a given interval. CoRR (2023)
Zhongxiao Jia, Kailiang Zhang
A CJ-FEAST GSVDsolver for computing a partial GSVD of a large matrix pair with the generalized singular values in a given interval. CoRR (2023)
Jinzhi Huang, Zhongxiao Jia
Refined and refined harmonic Jacobi-Davidson methods for computing several GSVD components of a large regular matrix pair. CoRR (2023)
Zhongxiao Jia, Haibo Li
The Joint Bidiagonalization Method for Large GSVD Computations in Finite Precision. SIAM J. Matrix Anal. Appl. 44 (1) (2023)
Jinzhi Huang, Zhongxiao Jia
A Cross-Product Free Jacobi-Davidson Type Method for Computing a Partial Generalized Singular Value Decomposition of a Large Matrix Pair. J. Sci. Comput. 94 (1) (2023)
Zhongxiao Jia, Kailiang Zhang
A FEAST SVDsolver Based on Chebyshev-Jackson Series for Computing Partial Singular Triplets of Large Matrices. J. Sci. Comput. 97 (1) (2023)
Zhongxiao Jia, Kailiang Zhang
A FEAST SVDsolver for the computation of singular value decompositions of large matrices based on the Chebyshev-Jackson series expansion. CoRR (2022)
Zhongxiao Jia, Qingqing Zheng
An analysis of the Rayleigh-Ritz and refined Rayleigh-Ritz methods for nonlinear eigenvalue problems. CoRR (2022)
Jinzhi Huang, Zhongxiao Jia
Two Harmonic Jacobi-Davidson Methods for Computing a Partial Generalized Singular Value Decomposition of a Large Matrix Pair. J. Sci. Comput. 93 (2) (2022)
Jinzhi Huang, Zhongxiao Jia
Two harmonic Jacobi-Davidson methods for computing a partial generalized singular value decomposition of a large matrix pair. CoRR (2022)
Jinzhi Huang, Zhongxiao Jia
A skew-symmetric Lanczos bidiagonalization method for computing several largest eigenpairs of a large skew-symmetric matrix. CoRR (2022)
Zhongxiao Jia
Theoretical and Computable Optimal Subspace Expansions for Matrix Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 43 (2) (2022)
Jinzhi Huang, Zhongxiao Jia
On choices of formulations of computing the generalized singular value decomposition of a large matrix pair. Numer. Algorithms 87 (2) (2021)
Zhongxiao Jia, Fa Wang
The Convergence of the Generalized Lanczos Trust-Region Method for the Trust-Region Subproblem. SIAM J. Optim. 31 (1) (2021)
Zhongxiao Jia, Fa Wang
A comparison of eigenvalue-based algorithms and the generalized Lanczos trust-region algorithm for Solving the trust-region subproblem. CoRR (2021)
Zhongxiao Jia, Haibo Li
The joint bidiagonalization process with partial reorthogonalization. Numer. Algorithms 88 (2) (2021)
Zhongxiao Jia
The Krylov Subspaces, Low Rank Approximations and Ritz Values of LSQR for Linear Discrete Ill-Posed Problems: the Multiple Singular Value Case. CoRR (2020)
Zhongxiao Jia
Optimal Subspace Expansion for Matrix Eigenvalue Problems. CoRR (2020)
Zhongxiao Jia
Regularization properties of Krylov iterative solvers CGME and LSMR for linear discrete ill-posed problems with an application to truncated randomized SVDs. Numer. Algorithms 85 (4) (2020)
Zhongxiao Jia
Approximation accuracy of the Krylov subspaces for linear discrete ill-posed problems. J. Comput. Appl. Math. 374 (2020)
Jinzhi Huang, Zhongxiao Jia
A cross-product free Jacobi-Davidson type method for computing a partial generalized singular value decomposition (GSVD) of a large matrix pair. CoRR (2020)
Jinzhi Huang, Zhongxiao Jia
On choices of formulations of computing the generalized singular value decomposition of a matrix pair. CoRR (2019)
Zhongxiao Jia, Fa Wang
The convergence of the Generalized Lanczos Trust-Region Method for the Trust-Region Subproblem. CoRR (2019)
Zhongxiao Jia, Wenjie Kang
A transformation approach that makes SPAI, PSAI and RSAI procedures efficient for large double irregular nonsymmetric sparse linear systems. J. Comput. Appl. Math. 348 (2019)
Jinzhi Huang, Zhongxiao Jia
On Inner Iterations of Jacobi-Davidson Type Methods for Large SVD Computations. SIAM J. Sci. Comput. 41 (3) (2019)
Yi Huang, Zhongxiao Jia
On regularizing effects of MINRES and MR-II for large scale symmetric discrete ill-posed problems. J. Comput. Appl. Math. 320 (2017)
Zhongxiao Jia, Wenjie Kang
A residual based sparse approximate inverse preconditioning procedure for large sparse linear systems. Numer. Linear Algebra Appl. 24 (2) (2017)
Zhongxiao Jia, Hui Lv
A posteriori error estimates of krylov subspace approximations to matrix functions. Numer. Algorithms 69 (1) (2015)
Zhongxiao Jia, Cen Li
Harmonic and refined harmonic shift-invert residual Arnoldi and Jacobi-Davidson methods for interior eigenvalue problems. J. Comput. Appl. Math. 282 (2015)
Zhongxiao Jia, Wen-Wei Lin, Ching-Sung Liu
A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible \(M\) -matrix. Numerische Mathematik 130 (4) (2015)
Zhongxiao Jia, Wenjie Kang
A Residual Based Sparse Approximate Inverse Preconditioning Procedure for Large Sparse Linear Systems. CoRR (2015)
Zhongxiao Jia, Qian Zhang
An Approach to Making SPAI and PSAI Preconditioning Effective for Large Irregular Sparse Linear Systems. SIAM J. Sci. Comput. 35 (4) (2013)
Zhongxiao Jia, Bingyu Li
On the condition number of the total least squares problem. Numerische Mathematik 125 (1) (2013)
Zhongxiao Jia
On convergence of the inexact Rayleigh quotient iteration with MINRES. J. Comput. Appl. Math. 236 (17) (2012)
Eric King-Wah Chu, Hung-Yuan Fan, Zhongxiao Jia, Tie-xiang Li, Wen-Wei Lin
The Rayleigh-Ritz method, refinement and Arnoldi process for periodic matrix pairs. J. Comput. Appl. Math. 235 (8) (2011)
Zhongxiao Jia, Datian Niu
A Refined Harmonic Lanczos Bidiagonalization Method and an Implicitly Restarted Algorithm for Computing the Smallest Singular Triplets of Large Matrices. SIAM J. Sci. Comput. 32 (2) (2010)
Zhongxiao Jia
Applications of the Conjugate Gradient method in optimal surface parameterizations. Int. J. Comput. Math. 87 (5) (2010)
Zhongxiao Jia
Some properties of LSQR for large sparse linear least squares problems. J. Syst. Sci. Complex. 23 (4) (2010)
Congying Duan, Zhongxiao Jia
A global harmonic Arnoldi method for large non-Hermitian eigenproblems with an application to multiple eigenvalue problems. J. Comput. Appl. Math. 234 (3) (2010)
Zhongxiao Jia, Baochen Zhu
A power sparse approximate inverse preconditioning procedure for large sparse linear systems. Numer. Linear Algebra Appl. 16 (4) (2009)
Zhongxiao Jia
Using cross-product matrices to compute the SVD. Numer. Algorithms 42 (1) (2006)
Zhongxiao Jia
The convergence of harmonic Ritz values, harmonic Ritz vectors and refined harmonic Ritz vectors. Math. Comput. 74 (251) (2005)
Guizhi Chen, Zhongxiao Jia
A refined harmonic Rayleigh-Ritz procedure and an explicitly restarted refined harmonic Arnoldi algorithm. Math. Comput. Model. 41 (6-7) (2005)
Zhongxiao Jia, Datian Niu
An Implicitly Restarted Refined Bidiagonalization Lanczos Method for Computing a Partial Singular Value Decomposition. SIAM J. Matrix Anal. Appl. 25 (1) (2003)
Zhongxiao Jia, G. W. Stewart
An analysis of the Rayleigh-Ritz method for approximating eigenspaces. Math. Comput. 70 (234) (2001)
Zhongxiao Jia
Generalized block Lanczos methods for large unsymmetric eigenproblems. Numerische Mathematik 80 (2) (1998)
Zhongxiao Jia
): The Incomplete Orthogonalization Method for Large Unsymmetric Linear Systems. Numer. Linear Algebra Appl. 3 (6) (1996)
Zhongxiao Jia
The Convergence of Generalized Lanczos Methods for Large Unsymmetric Eigenproblems. SIAM J. Matrix Anal. Appl. 16 (3) (1995)