PUBLICATIONS
1.
Zhao, Jinxi
Huang's method for the
solution of consistent systems of linear equations and its generalization
(Chinese),
Numer. Math., J. Chinese Univ.
3(1981), No.1,8-17, MR 82e:65035, 65F10
2. Zhao, Jinxi; Li, Meilan
Numerical
solutions for the ill-conditioned system in factor analysis,
Computing
technique on WHT,1982, No. 1-3,
3. Zhao, Jinxi
Some
problems in conjugate
gradient methods—an
application of the theory of numerical dependence. (Chinese), Nanjing Daxue Xuebao Shuxue Bannian Kan1(1984), No.2,244-254, MR 87f:65054,
65F50 (65F35)
4. Zhao, Jinxi
Some
advanced of the Conjugate Gradient method,
Appl.
Math. Math. Comput. 1984, No.2, 44-58, 835
981,65F10
5. Zhao, Jinxi
A
class of recurrence methods-PPM for solving ill-conditioned consistent linear
systems(Chinese),
I. Discussion of principal algorithm and
properties,
Nanjing
Daxue Xuebao Shuxue Bannian Kan 3(1986), Nol.2,MR
88e:65040,(Reviewer: H.R. Shen), 65F10
6. Zhao, Jinxi
II. Error analysis and numerical
examples(Chinese),
Nanjing Daxue Xuebao Shuxue Bannian Kan
4(1987), No.1, 63-70,82.MR
88m:65057(Reviewer: H.R. Shen), 65F10
7. Zhao, Jinxi
The
study of recurrence methods for solving ill-conditioned linear system,
Ph.D.
thesis, Nanjing University, Nanjing,
China, 1987
8. Zhao, Jinxi
Numerical
tests of a high-precision algorithm for high ill-conditioned systems
problems.(Chinese),
Numer. Math., J. Chinese Univ.
9(1987), No.1, 93-96 MR 88h:65083, 65F10
9. Zhao, Jinxi
The modified Kaczmarz method for solving
linear system,
Nanjing
Daxue Xuebao Shuxue Bannian Kan 5(1988), No.1,121-123,MR 89K:65033, 65F10
10. Zhao, Jinxi
A class of direct methods for solving
ill-conditioned linear
system, (Chinese)
Numer. Math., J. Chinese Univ.10(1988),
No.3,250-262.MR 90a:65106, (Reviewer: Qinghua Zheng),65F35 (65F25)
11. Zhao, Jinxi
An
note on the orthonormal recurrence method,
Comm.
Appl. Math. Comput 2(1988), No.2,
87-90, 1 133 974, 65F10
12. Zhao, Jinxi
A
class of direct methods for solving linear inequalities, (Chinese)
Math.Numer.Sinica11(1989),No.3,231-238.MR 91b:65082,65K05(65F99)
13.Zhao, Jinxi
The
projection algorithm for solving
linear inequalities,
University
of Bergamo, Italy, Report DMSIA 91/92,1991
14. E. SPEDICATO and JINXI ZHAO
Explicit general solution of the
Quasi-Newton equation with sparsity and symmetry,
Optimization
Methods and Software, Vol.2, 1993
15. Zhao, Jinxi
A modified conjugate direction method for
computing the pseudoinverse ,
J.
Comput. Math. 12(1994),No. 2, 185-194.MR
95a:65093,65H10(90c20)
16. Zhao, Jinxi
ABS
algorithms for solving linear inequalities,
Numer. Math., A Jour. of Chinese Univer.(English
Series), 3(1994), No.2,154-162. MR 96c:65054,(Reviewer; De Ren Wang)
65F10 (90c08)
17. Zhao, Jinxi
A note on the ABS algorithm for solving
linear system,
Nanjing Daxue Xuebao Shuxue Bannian Kan
12(1995), No.1,32-36,
1 343 912,
65F10
18. Zhao, Jinxi
A
column recurrence method for solving linear least square problem,
J. Comput. Math.
14(1996), No. 4, 301-310, MR 97g:65074, 65F20
19. Zhao Jinxi
The
generalized Cholesky factorization method for solving
symmetric
indefinite linear systems(Chinese),
Math.
Numer. Sin.18(1996), No.4, 442-448, 1 444 551,
65F10(90C08)
20. Zhao, Jinxi
A
class of direct methods for solving generalized semi-positive
definite
linear systems(Chinese)
Numer. Math., J. Chinese Univ.
18(1996), No.1, 62-68,1 600 749,65F30 (15A06 15A03)
21. Zhao, Jinxi
Matrix
updating method for the constrained and weighted linear least squares problem
Numer. Math., J. Chinese Univ.
18(1996), No.2 ,97-103, 1 600 756,65F30(90C20)
23. Zhao, Jinxi
The
LU decomposition of A♁
B( Chinese)
Nanjing Daxue Xuebao Shuxue Bannian Kan
13(1996), No. 2., 214-217.
MR 97m: 15025,15A23
24. Zhao, Jinxi
A
class of direct methods for solving equality constrained and weighted linear
least squares problems. (Chinese),
Nanjing Daxue Xuebao Ziran Kexue Ban
32 (1996),No. 3, 378-386. MR 97j:65074,
65F30
25. Zhao, Jinxi
A
column recurrence algorithm for solving linear least squares problem.
J. Comput. Math.
14(1996), No. 4, 301-310. MR
97g:65085,( Reviewer: De Ren Wang) 65F20
24. Zhao Jinxi
The generalized Cholesky factorization method for
solving saddle point problems
Appl. Math. Comput. 18(1998),
No.1,49-58, 1 623 391, 65F05
25. Zhao,Jinxi; Shu, Jiwu; Zhang, Defu;
Wang, Weiguo
A
decomposition method for solving symmetric indefinite arrow linear
systems
Numer. Math., J. Chinese Univ 19(1997),
No.1, 83-92,1 484 926, 65F10 (65N55)
26. Ren, Weiqing; Zhao, Jinxi
Iterative
method with preconditioners for indefinite systems
J.
Comput. Math.17(1999), No.1, 89-96, MR 2000a:65042,
65F10
27. Wang, Weiguo; zhao, Jinxi
Inverse updating and downdating for weighted
linear least squares using M-invariant reflections
Linear
Algebra Appl.291(1999), No.1-3,185-199,MR
2000a:65051, 65F25(65F35 65G50)
28. Shu, Jiwu and Zhao, Jinxi ,et al.
Zonal
Parallel algorithm of load-balancing on nonuniform domain simulation of
reservoir
Journal
of Software, Vol.10, No. 2, pp.187-192, 1999
29. Shu, Jiwu and Zhao, Jinxi, et al.
Parallel
tasks partitioning of load-balancing for a multiple layers numerical simulation
of reservoir
Journal
of Software, Vol.10, No. 10, pp.1061-1066,
1999(EIP00095310306)
30. Shu, Jiwu and Zhao, Jinxi ,et al.
Tasks
mapping algorithm of large sparse linear algebraic equations based on
heterogeneous parallel milieu
ACTA
Electronica Sinica,Vol.27, No.8, 1999
31. Shu, Jiwu and Zhao, Jinxi ,et al.
A
valid parallel iterative algorithm for solving large linear algebraic
equations-paralleled ICCG methods
Computer engineering and applications,
1999.7, 30-34
32. Zhou, Zhong; Zhao, Jinxi
An
improved GMRES method augmented with eigenvectors.
Nanjing Daxue Xuebao Ziran Kexue Ban 37(2001), No.1, 1-11,
1 816 331, 65F15
32. Ren, Weiqing and Zhao, Jinxi
Stability
of generalized Cholesky factorization for the Stokes equations
Submitted
to Applied Numerical Mathematics, 2003
33. Zhao, Jinxi , Wang, Weiguo and Ren,
Weiqing
BIT,
44(2004),181-188
34. Shen, Yuming and Zhao, Jinxi
Analysis of peaks and plateaus in a Galerkin
minimal residual pair of methods for solving Ax=b
Applied
Mathematics and Computations, 144(2003),
441-455(EIP03297544797)
35. Shen, Yuming and Zhao, Jinxi
Numerical
linear dependence theory and pseudospectra of matrix
Submitted Applied Mathematics and Computation,
2003
36. Xu, Minghua and Zhao, Jinxi
Free-stagnation
GMRES(m) algorithm for solving linear systems
Chinese
Journal of Numerical Mathematics and Applications
25:2(2003), 45-52
37. Wang, Weiguo and Zhao, Jinxi
Perturbation analysis for the generalized Cholesky
factorization,
Applied
Mathematics and Computation, 147(2004), 601-606
38. Xu Minghua, Zhao Jinxi, Wu Jiancheng
and Fan Hongjun
A convergent restarted GMRES method for large linear systems,
Submitted
Applied Mathematics and Computation, 2003
39. Shen, Yuming, Zhao, Jinxi and Fan
Hongjun
Properties and computations of matrix pseudospectra,
Submitted
Applied Mathematics and
Computation, 2003
40. 徐明华、赵金熙等
免停滞的GMRES(m)算法
数值计算与计算机应用，2003
41 王浩然、朱国荣、赵金熙
基于区域分解法的地下水有限元与边界耦合模型
A
Groundwater Flow Domain Decomposition Model Coupling the Boundary and Finite
Element Methods
地质论评(Geological Review)，Vol.49, No.1, 2003