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1

The Convergence of Generalized Lanczos Methods for Large Unsymmetric Eigenproblems

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

1995

Language:

english

File:

PDF, 1.81 MB

english, 1995

2

An Analysis of the Rayleigh-Ritz Method for Approximating Eigenspaces

Zhongxiao Jia and G. W. Stewart

Journal:

Mathematics of Computation

Year:

2001

Language:

english

File:

PDF, 850 KB

english, 2001

3

Some results on the regularization of LSQR for large-scale discrete ill-posed problems

Huang, Yi, Jia, ZhongXiao

Journal:

Science China Mathematics

Year:

2017

Language:

english

File:

PDF, 1.04 MB

english, 2017

4

Some results on condition numbers of the scaled total least squares problem

Bingyu Li, Zhongxiao Jia

Journal:

Linear Algebra and its Applications

Year:

2011

Language:

english

File:

PDF, 221 KB

english, 2011

5

The convergence of Krylov subspace methods for large unsymmetric linear systems

Journal:

Acta Mathematica Sinica, English Series (Springer)

Year:

1998

Language:

english

File:

PDF, 542 KB

english, 1998

6

Some properties of LSQR for large sparse linear least squares problems

Journal:

Journal of Systems Science and Complexity

Year:

2010

Language:

english

File:

PDF, 153 KB

english, 2010

7

A convergence analysis of the inexact Rayleigh quotient iteration and simplified Jacobi-Davidson method for the large Hermitian matrix eigenproblem

ZhongXiao Jia, Zhen Wang

Journal:

Science China Mathematics

Year:

2008

Language:

english

File:

PDF, 249 KB

english, 2008

8

Some theoretical comparisons of refined Ritz vectors and Ritz vectors

Journal:

Science China Mathematics

Year:

2004

Language:

english

File:

PDF, 227 KB

english, 2004

9

Modified Truncated Randomized Singular Value Decomposition (MTRSVD) Algorithms for Large Scale Discrete Ill-posed Problems with General-Form Regularization

Jia, Zhongxiao, yang, yanfei

Journal:

Inverse Problems

Year:

2018

Language:

english

File:

PDF, 553 KB

english, 2018

10

Experimental study on comprehensive carbon capture performance of TETA-based nanofluids with surfactants

Jiang, Yanchi, Zhang, Zhongxiao, Fan, Junjie, Yu, Juan, Bi, Degui, Li, Boyang, Zhao, Ziqi, Jia, Mengchuan, Mu, Aiwei

Journal:

International Journal of Greenhouse Gas Control

Year:

2019

Language:

english

File:

PDF, 3.15 MB

english, 2019

11

A joint bidiagonalization based iterative algorithm for large scale general-form Tikhonov regularization

Jia, Zhongxiao, Yang, Yanfei

Journal:

Applied Numerical Mathematics

Year:

2020

File:

PDF, 924 KB

2020

12

On choices of formulations of computing the generalized singular value decomposition of a large matrix pair

Huang, Jinzhi, Jia, Zhongxiao

Journal:

Numerical Algorithms

Year:

2020

File:

PDF, 3.17 MB

2020

13

On IOM(q): The Incomplete Orthogonalization Method for Large Unsymmetric Linear Systems

Journal:

Numerical Linear Algebra with Applications

Year:

1996

Language:

english

File:

PDF, 1.01 MB

english, 1996

14

A power sparse approximate inverse preconditioning procedure for large sparse linear systems

Zhongxiao Jia, Baochen Zhu

Journal:

Numerical Linear Algebra with Applications

Year:

2009

Language:

english

File:

PDF, 3.49 MB

english, 2009

15

An analogue of the results of Saad and Stewart for harmonic Ritz vectors

Guizhi Chen, Zhongxiao Jia

Journal:

Journal of Computational and Applied Mathematics

Year:

2004

Language:

english

File:

PDF, 186 KB

english, 2004

16

The Rayleigh–Ritz method, refinement and Arnoldi process for periodic matrix pairs

Eric King-Wah Chu, Hung-Yuan Fan, Zhongxiao Jia, Tiexiang Li, Wen-Wei Lin

Journal:

Journal of Computational and Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 308 KB

english, 2011

17

A refined jacobi-davidson method and its correction equation

Shaoqiang Feng, Zhongxiao Jia

Journal:

Computers & Mathematics with Applications

Year:

2005

Language:

english

File:

PDF, 602 KB

english, 2005

18

A refined harmonic Rayleigh-Ritz procedure and an explicitly restarted refined harmonic Arnoldi algorithm

Guizhi Chen, Zhongxiao Jia

Journal:

Mathematical and Computer Modelling

Year:

2005

Language:

english

File:

PDF, 871 KB

english, 2005

19

Refined iterative algorithms based on Arnoldi's process for large unsymmetric eigenproblems

Journal:

Linear Algebra and its Applications

Year:

1997

Language:

english

File:

PDF, 1.19 MB

english, 1997

20

A refined iterative algorithm based on the block arnoldi process for large unsymmetric eigenproblems

Journal:

Linear Algebra and its Applications

Year:

1998

Language:

english

File:

PDF, 775 KB

english, 1998

21

Polynomial characterizations of the approximate eigenvectors by the refined Arnoldi method and an implicitly restarted refined Arnoldi algorithm

Journal:

Linear Algebra and its Applications

Year:

1999

Language:

english

File:

PDF, 1.11 MB

english, 1999

22

Residuals of refined projection methods for large matrix eigenproblems

Journal:

Computers & Mathematics with Applications

Year:

2001

Language:

english

File:

PDF, 577 KB

english, 2001

23

A refined shift-and-invert arnoldi algorithm for large unsymmetric generalized eigenproblems

Zhongxiao Jia, Yong Zhang

Journal:

Computers & Mathematics with Applications

Year:

2002

Language:

english

File:

PDF, 937 KB

english, 2002

24

A block incomplete orthogonalization method for large nonsymmetric eigenproblems

Journal:

BIT Numerical Mathematics

Year:

1995

Language:

english

File:

PDF, 1.02 MB

english, 1995

25

A variation on the block Arnoldi method for large unsymmetric matrix eigenproblems

Journal:

Acta Mathematicae Applicatae Sinica, English Series

Year:

1998

Language:

english

File:

PDF, 489 KB

english, 1998

26

Composite orthogonal projection methods for large matrix eigenproblems

Journal:

Science China Mathematics

Year:

1999

Language:

english

File:

PDF, 572 KB

english, 1999

27

On IGMRES: An incomplete generalized minimal residual method for large unsymmetric linear systems

Journal:

Science China Mathematics

Year:

1998

Language:

english

File:

PDF, 614 KB

english, 1998

28

Generalized block Lanczos methods for large unsymmetric eigenproblems

Journal:

Numerische Mathematik

Year:

1998

Language:

english

File:

PDF, 297 KB

english, 1998

29

Using cross-product matrices to compute the SVD

Journal:

Numerical Algorithms

Year:

2006

Language:

english

File:

PDF, 402 KB

english, 2006

30

A global harmonic Arnoldi method for large non-Hermitian eigenproblems with an application to multiple eigenvalue problems

Congying Duan, Zhongxiao Jia

Journal:

Journal of Computational and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 413 KB

english, 2010

31

The refined harmonic Arnoldi method and an implicitly restarted refined algorithm for computing interior eigenpairs of large matrices

Journal:

Applied Numerical Mathematics

Year:

2002

Language:

english

File:

PDF, 174 KB

english, 2002

32

A refined subspace iteration algorithm for large sparse eigenproblems

Journal:

Applied Numerical Mathematics

Year:

2000

Language:

english

File:

PDF, 138 KB

english, 2000

33

On convergence of the inexact Rayleigh quotient iteration with MINRES

Journal:

Journal of Computational and Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 392 KB

english, 2012

34

A Refined Harmonic Lanczos Bidiagonalization Method and an Implicitly Restarted Algorithm for Computing the Smallest Singular Triplets of Large Matrices

Jia, Zhongxiao, Niu, Datian

Journal:

SIAM Journal on Scientific Computing

Year:

2010

Language:

english

File:

PDF, 460 KB

english, 2010

35

An Implicitly Restarted Refined Bidiagonalization Lanczos Method for Computing a Partial Singular Value Decomposition

Jia, Zhongxiao, Niu, Datian

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2003

Language:

english

File:

PDF, 218 KB

english, 2003

36

On the condition number of the total least squares problem

Zhongxiao Jia, Bingyu Li

Journal:

Numerische Mathematik

Year:

2013

Language:

english

File:

PDF, 375 KB

english, 2013

37

On convergence of the inexact Rayleigh quotient iteration with the Lanczos method used for solving linear systems

Journal:

Science China Mathematics

Year:

2013

Language:

english

File:

PDF, 328 KB

english, 2013

38

On the convergence of Ritz pairs and refined Ritz vectors for quadratic eigenvalue problems

Tsung-Ming Huang, Zhongxiao Jia, Wen-Wei Lin

Journal:

BIT Numerical Mathematics

Year:

2013

Language:

english

File:

PDF, 615 KB

english, 2013

39

An Approach to Making SPAI and PSAI Preconditioning Effective for Large Irregular Sparse Linear Systems

Jia, Zhongxiao, Zhang, Qian

Journal:

SIAM Journal on Scientific Computing

Year:

2013

Language:

english

File:

PDF, 1.11 MB

english, 2013

40

Inner iterations in the shift-invert residual Arnoldi method and the Jacobi-Davidson method

Jia, ZhongXiao, Li, Cen

Journal:

Science China Mathematics

Year:

2014

Language:

english

File:

PDF, 430 KB

english, 2014

41

Robust dropping criteria for F-norm minimization based sparse approximate inverse preconditioning

Jia, Zhongxiao, Zhang, Qian

Journal:

BIT Numerical Mathematics

Year:

2013

Language:

english

File:

PDF, 870 KB

english, 2013

42

A posteriori error estimates of krylov subspace approximations to matrix functions

Jia, Zhongxiao, Lv, Hui

Journal:

Numerical Algorithms

Year:

2015

Language:

english

File:

PDF, 1011 KB

english, 2015

43

Applications of the Conjugate Gradient method in optimal surface parameterizations

Journal:

International Journal of Computer Mathematics

Year:

2010

Language:

english

File:

PDF, 98 KB

english, 2010

44

An analysis of the Rayleigh--Ritz method for approximating eigenspaces

Jia, Zhongxiao, Stewart, G. W.

Journal:

Mathematics of Computation

Year:

2000

Language:

english

File:

PDF, 184 KB

english, 2000

45

Harmonic and refined harmonic shift-invert residual Arnoldi and Jacobi–Davidson methods for interior eigenvalue problems

Jia, Zhongxiao, Li, Cen

Journal:

Journal of Computational and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 714 KB

english, 2015

46

A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible\(M\)-matrix

Jia, Zhongxiao, Lin, Wen-Wei, Liu, Ching-Sung

Journal:

Numerische Mathematik

Year:

2015

Language:

english

File:

PDF, 618 KB

english, 2015

47

The Convergence of Harmonic Ritz Values, Harmonic Ritz Vectors, and Refined Harmonic Ritz Vectors

Journal:

Mathematics of Computation

Year:

2005

Language:

english

File:

PDF, 423 KB

english, 2005

48

A residual based sparse approximate inverse preconditioning procedure for large sparse linear systems

Jia, Zhongxiao, Kang, Wenjie

Journal:

Numerical Linear Algebra with Applications

Year:

2017

Language:

english

File:

PDF, 600 KB

english, 2017

49

On regularizing effects of MINRES and MR-II for large scale symmetric discrete ill-posed problems

Huang, Yi, Jia, Zhongxiao

Journal:

Journal of Computational and Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 1.32 MB

english, 2017

50

[IEEE 2017 18th IEEE International Conference on Mobile Data Management (MDM) - Daejeon, South Korea (2017.5.29-2017.6.1)] 2017 18th IEEE International Conference on Mobile Data Management (MDM) - Topic Model-Based Road Network Inference from Massive Trajectories

Zheng, Renjie, Liu, Qin, Rao, Weixiong, Yuan, Mingxuan, Zeng, Jia, Jin, Zhongxiao

Year:

2017

Language:

english

File:

PDF, 4.43 MB

english, 2017