PUBLICATION LIST (1991---1998)
- Convergence analysis for a class
of matrix factorization update quasi-Newton methods,
Communications on Applied Mathematics
and Computation,
5:1(1991), 50-60. (In Chinese)
(With D.-R. Wang)
- Matrix multi-splitting multi-parameter relaxation methods,
International Journal of Computer Mathematics,
43:3/4(1992), 173-188.
(With D.J. Evans and D.-R. Wang)
- On the convergence of the factorization update algorithm,
Journal of Computational Mathematics,
11:3(1993), 236-249. (With D.-R. Wang)
- Generalized matrix
multisplitting relaxation methods and their convergence,
Numerical Mathematics,
A Journal of Chinese Universities (English Series),
2:1(1993), 87-100.
(With D.-R. Wang)
- A class of asynchronous parallel matrix multisplitting relaxation methods,
Parallel Algorithms and Applications,
2(1994), 173-192.
(With D.J. Evans and D.-R. Wang)
- Asynchronous parallel matrix
multi-splitting multi-parameter relaxation methods,
Numerical Mathematics,
A Journal of Chinese Universities (Chinese Series),
16:2(1994), 107-115. (In Chinese)
(With D.-R. Wang)
- On monotone convergence of
nonlinear multisplitting relaxation methods,
Chinese Annals of Mathematics,
15B(1994), 335-348.
(With D.-R. Wang)
- A class of asynchronous parallel nonlinear multisplitting
relaxation methods,
Parallel Algorithms and Applications,
2(1994), 209-228.
(With D.J. Evans and D.-R. Wang)
- Asynchronous multisplitting nonlinear Gauss-Seidel type method,
Applied Mathematics,
A Journal of Chinese Universities,
9B(1994), 189-194.
(With D.-R. Wang)
- Asynchronous multisplitting relaxed iterations for
weakly nonlinear systems,
International Journal of Computer Mathematics,
54(1994), 57-76.
(With D.J. Evans and D.-R. Wang)
- Parallel nonlinear multisplitting relaxation methods,
Applied Mathematics,
A Journal of Chinese Universities,
10B(1995), 251-266.
(With D.-R. Wang)
- Models of asynchronous parallel matrix multisplitting
relaxed iterations,
Parallel Computing,
21(1995), 565-582.
(With D.J. Evans and D.-R. Wang)
- Multisplitting relaxed methods for a class of system of
nonlinear equations,
Parallel Algorithms and Applications,
7(1995), 1-15.
(With D.J. Evans and D.-R. Wang)
- Asynchronous multisplitting AOR method
for a system of nonlinear algebraic equations,
International Journal of Computer Mathematics,
55(1995), 223-233.
- On the convergence of the generalized
matrix multisplitting relaxed methods,
Communications in Numerical Methods
in Engineering,
11(1995), 363-371.
- Models of asynchronous parallel nonlinear multisplitting
relaxed iterations,
Journal of Computational Mathematics,
13:4(1995), 369-386.
(With D.J. Evans and D.-R. Wang)
- Parallel multisplitting AOR method for
solving a class of system of nonlinear algebraic equations,
Applied Mathematics and Mechanics,
16:7(1995), 675-682. (In English)
See also 16:7(1995), 633-639. (In Chinese)
- Variants of the synchronous and asynchronous
matrix multisplitting unsymmetric AOR methods,
Journal of Fudan University (Natural Science),
34:2(1995), 139-148.
- On the comparisons of the multisplitting
unsymmetric AOR methods for M-matrices,
Calcolo,
32:3-4(1995), 207-220.
- Parallel matrix multisplitting block relaxation iteration methods,
Mathematica Numerica Sinica,
17:3(1995), 238-252.
(In Chinese)
- Generalized asynchronous parallel
multisplitting relaxation methods,
Applied Mathematics,
A Journal of Chinese Universities,
10A(1995), 133-140. (In Chinese)
- A class of hybrid algebraic multilevel preconditioning methods,
Applied Numerical Mathematics,
19(1996), 389-399.
- A class of factorization update algorithm
for solving systems of sparse nonlinear equations,
Acta Mathematicae Applicatae Sinica,
12:2(1996), 188-200. (With D.-R. Wang)
- Parallel nonlinear AOR method and its convergence,
Computers and Mathematics with Applications,
31:2(1996), 21-31.
- The monotone convergence rate of the
parallel nonlinear AOR method,
Computers and Mathematics with Applications,
31:7(1996), 1-8.
- Improved comparison theorem for
the nonlinear multisplitting relaxation method,
Computers and Mathematics with Applications,
31:8(1996), 23-30.
(With D.-R. Wang)
- On the monotone convergence of multisplitting method
for a class of system of weakly nonlinear equations,
International Journal of Computer Mathematics,
60(1996), 229-242.
(With D.J. Evans and D.-R. Wang)
- Generalized asynchronous matrix
multisplitting forward and backward relaxation methods,
Mathematica Applicata,
9:1(1996), 121-126. (In Chinese)
(With D.-R. Wang)
- A unified framework for the construction of various matrix
multisplitting iterative methods for large sparse system of linear
equations,
Computers and Mathematics with Applications,
32:12(1996), 51-76.
(With J.-C. Sun and D.-R. Wang)
- A class of new hybrid algebraic multilevel preconditioning methods,
Linear Algebra and Its Applications,
260(1997), 223-255. (With D.-R. Wang)
- Parallel multilevel iterative methods,
Linear Algebra and Its Applications,
250(1997), 317-347. (With D.-R. Wang)
- A class of iteration methods based on the
Moser formula for nonlinear equations in Markov chains,
Linear Algebra and Its Applications,
266(1997), 219-241.
- Parallel hybrid algebraic multilevel iterative methods,
Linear Algebra and Its Applications,
267(1997), 281-315.
- On the convergence
of a class of parallel decomposition-type relaxation methods,
Applied Mathematics and Computation,
81:1(1997), 1-21.
(With Y.-F. Su)
- Asynchronous parallel matrix multisplitting
block relaxation iteration methods,
Numerical Mathematics,
A Journal of Chinese Universities (Chinese Series),
19:1(1997), 28-39. (In Chinese)
- Parallel hybrid iteration methods for block bordered linear systems,
Applied Mathematics and Computation,
86:1(1997), 37-60.
- Asynchronous parallel
multisplitting nonlinear Gauss-Seidel iteration,
Applied Mathematics,
A Journal of Chinese Universities,
12B:2(1997), 179-194.
(With D.-R. Wang)
- The monotone convergence of the two-stage iterative method
for solving large sparse systems of linear equations,
Applied Mathematics Letters,
10:1(1997), 113-117.
(With D.-R. Wang)
- Blockwise matrix multi-splitting
multi-parameter block relaxation methods,
International Journal of Computer Mathematics,
64(1997), 103-118.
(With D.J. Evans)
- A class of two-stage iterative methods for
systems of weakly nonlinear equations,
Numerical Algorithms,
14:4(1997), 295-319.
- On the convergence of parallel chaotic
nonlinear multisplitting Newton-type methods,
Journal of
Computational and Applied Mathematics,
80:2(1997), 317-334.
- The generalized Stein-Rosenberg type theorem
for the PDAOR-method,
Mathematica Numerica Sinica,
19:3(1997), 329-335. (In Chinese)
See also
Chinese Journal of Numerical
Mathematics and Applications,
20:2(1998), 98-105.
- Parallel multisplitting two-stage
iterative methods for large sparse systems of
weakly nonlinear equations,
Numerical Algorithms,
15:3-4(1997), 347-372.
- A class of parallel decomposition-type
relaxation methods for large sparse systems of linear equations,
Linear Algebra and Its Applications,
282(1998), 1-24.
- A class of asynchronous matrix multi-splitting
multi-parameter relaxation iterations,
Journal of Computational Mathematics,
16:3(1998), 221-238.
(With D.J. Evans and D.-R. Wang)
- On the convergence domain of the matrix
multisplitting relaxation methods for linear systems,
Applied Mathematics,
A Journal of Chinese Universities,
13B:1(1998), 45-52.
- On the convergence of the
relaxation methods for positive definite linear systems,
Journal of Computational Mathematics,
16:6(1998), 527-538.
(With T.-Z. Huang)
- Asynchronous parallel nonlinear symmetric
Gauss-Seidel iteration methods,
Mathematica Numerica Sinica,
20:2(1998), 187-200. (In Chinese)
See also
Chinese Journal of
Numerical Mathematics and Applications,
20:3(1998), 75-89.
- Generalizations of diagonally dominance and distribution of eigenvalues,
Acta Mathematicae Applicatae Sinica,
21:2(1998), 277-281.
(In Chinese)
(With T.-Z. Huang and Z.-Y. You)
- The convergence of the two-stage
iterative method for hermitian positive definite linear systems,
Applied Mathematics Letters,
11:2(1998), 1-5.
- The spectral analysis of the matrix multisplitting
method for one-dimensional model problem,
Computers and Mathematics with Applications,
36:2 (1998), 31-38.
(With J.-C. Sun)
- Asynchronous multisplitting two-stage iterations for systems of weakly
nonlinear equations,
Journal of Computational and
Applied Mathematics,
93:1(1998), 13-33.
(With Y.-G. Huang)
- On the convergence of two-stage multisplitting
methods for linear systems,
Neural, Parallel and Scientific Computations,
6:3(1998), 279-295.
(With D.J. Evans)
- Relaxed parallel multisplitting
methods for large scale linear least square problems,
Numerical Mathematics,
A Journal of Chinese Universities (Chinese Series),
15:1(1993), 72-85. (In Chinese)
(With D.-R. Wang)
- Asynchronous multisplitting relaxation methods
for solving large-scale linear least-squares problems,
Numerical Mathematics,
A Journal of Chinese Universities (Chinese Series),
17:2(1995), 129-137. (In Chinese)
- Schubert's method for sparse
system of B-differentiable equations,
Journal of Fudan University
(Natural Science),
34:6(1995), 683-690.
(With D.-R. Wang)
- The monotone convergence of a class of parallel nonlinear relaxation
methods for nonlinear complementarity problems,
Computers and Mathematics with Applications,
31:12(1996), 17-33.
- New comparison theorem for the nonlinear multisplitting relaxation
methods for the nonlinear complementarity problems,
Computers and Mathematics with Applications,
32:4(1996), 41-48.
- A class of parallel nonlinear
multisplitting relaxation methods for the large sparse
nonlinear complementarity problems,
Computers and Mathematics with Applications,
32:8(1996), 79-95.
(With D.-R. Wang)
- The convergence of parallel iteration
algorithms for linear complementarity problems,
Computers and Mathematics with Applications,
32:9(1996), 1-17.
- On the monotone convergence of the projected
iteration methods for linear complementarity problem,
Numerical Mathematics,
A Journal of Chinese Universities (English Series),
5:2(1996), 228-233.
- On the convergence of the linear
approximation methods for variational and complementarity problems,
Journal of Fudan University
(Natural Science),
36:2(1997), 206-218.
(With Y.-M. Wei)
- Matrix multisplitting
relaxation methods for linear complementarity problems,
International Journal of Computer Mathematics,
63(1997), 309-326.
(With D.J. Evans)
- A class of multi-parameter relaxed parallel multisplitting
methods for large sparse linear complementarity problems,
Parallel Algorithms and Applications,
11(1997), 113-127.
(With D.J. Evans and D.-R. Wang)
- Asynchronous parallel nonlinear multisplitting relaxation methods
for the large sparse nonlinear complementarity problems,
Applied Mathematics and Computation,
92:1(1998), 85-100.
- A class of generalized multisplitting
relaxation methods for linear complementarity problems,
Applied Mathematics,
A Journal of Chinese Universities,
13B(1998), 188-198.
- On the monotone convergence of matrix multisplitting relaxation methods
for the linear complementarity problem,
IMA Journal of Numerical Analysis,
18:4(1998), 509-518.
- A class of asynchronous parallel nonlinear accelerated overrelaxation
methods for the nonlinear complementarity problems,
Journal of Computational and
Applied Mathematics,
93:1(1998), 35-44.
- Chaotic iterative methods for the linear complementarity problems,
Journal of Computational and
Applied Mathematics,
96:2(1998), 127-138.
(With D.J. Evans)
In Proceedings of International Conferences:
- On the monotone convergence of matrix multisplitting
iteration methods,
In Proceedings of
'92 Shanghai International Numerical Algebra and
Its Application Conference,
E.-X. Jiang eds.,
China Science and Technology Press,
Beijing, 125-128(1994).
(With D.-R. Wang)
- A unified framework for the construction of
various algebraic multilevel preconditioning methods,
In Proceedings of the Conference on
Algebraic Multilevel Iteration Methods (AMLI '96),
Axelsson, O. and Polman, B. eds.,
63-76(1996).
(With O. Axelsson)
- A class of blockwise matrix multi-splitting
multi-parameter block relaxation methods,
In Proceedings of The Third China-Japan Seminar
on Numerical Mathematics,
Z.-C. Shi and M. Mori eds.,
Science Press of China,
Beijing/New York, 1-10(1998).
In Proceedings of Chinese Conferences:
- Multi-parameter relaxed parallel multisplitting
iteration methods based on arbitrary
splittings of the coefficient matrix,
In Proceedings of
the National Third Parallel Algorithm Conference,
The Parallel Algorithm Speciality Committee of the Chinese Computational
Mathematics Society eds.,
Huazhong University of Science and Technology
Press,
Wuhan, 177-178(1992). (In Chinese)
(With D.-R. Wang)
- Generalized parallel
matrix multisplitting relaxation methods,
In Proceedings of
the National Third Parallel Algorithm Conference,
The Parallel Algorithm Speciality Committee of the Chinese Computational
Mathematics Society eds.,
Huazhong University of Science and Technology
Press,
Wuhan, 179(1992). (In Chinese)
(With D.-R. Wang)
- Parallel nonlinear
multisplitting numerical continuation methods,
In Proceedings of
the National Forth Parallel Algorithm Conference,
The Parallel Algorithm Speciality Committee of the Chinese Computational
Mathematics Society eds.,
Aeronautical Industry Press,
Beijing, 193-197(1993). (In Chinese)
(With D.-R. Wang)
- On the convergence
of the matrix multisplitting block relaxation methods,
In Proceedings of
the National Forth Parallel Algorithm Conference,
The Parallel Algorithm Speciality Committee of the Chinese Computational
Mathematics Society eds.,
Aeronautical Industry Press,
Beijing, 222-226(1993). (In Chinese)
(With D.-R. Wang)
- Parallel interval matrix multisplitting
AOR methods and their convergence,
In Proceedings of the Second China Matrix Theory and
Its Applications Conference (SCMTAC '96),
Jilin University Press,
Jilin, 33-34(1996).
- Generalized synchronous
and asynchronous parallel matrix multisplitting relaxation methods,
In Proceedings of the Second China Matrix Theory and
Its Applications Conference (SCMTAC '96),
Jilin University Press,
Jilin, 31-32(1996).
(With Y.-F. Su)
- Generalizations of block diagonal dominance
and distribution of eigenvalues,
In Proceedings of the Second China Matrix Theory and
Its Applications Conference (SCMTAC '96),
Jilin University Press,
Jilin, 41-42(1996).
(With T.-Z. Huang and Z.-Y. You)
In Journals of Universities and Departments:
- A note on 'Multisplitting with
different weighting schemes',
Chinese Journal of Engineering Mathematics,
10:2(1993), 107-110.
- Convergence analysis of the matrix multisplitting AOR algorithm,
Natural Science Journal of
Heilongjiang University,
10:(special)(1993), 1-5. (In Chinese)
- Multi-step update algorithms based on the factorization of Jacobian,
Journal of the University of
Electrical Science and Technology of China,
22:3(1993), 311-316. (In Chinese)
(With P.-L. Tong)
- Iterative methods for linear complementarity problem,
Journal of the University of
Electrical Science and Technology of China,
22:4(1993), 420-424. (In Chinese)
(With P.-L. Tong)
- Comparisons of the convergence and divergence rates of
the parallel matrix multisplitting iteration methods,
Chinese Journal of Engineering Mathematics,
11:1(1994), 99-102. (In Chinese)
- Generalized parallel multisplitting
forward and backward relaxed methods,
Journal of the University of
Electrical Science and Technology of China,
23:2(1994), 207-212. (In Chinese)
- A quasi-quasi-Newton method for updating Cholesky factors,
Sindh University Research Journal
(Science Series),
26:1/2(1994), 133-144.
(With R.A. Memon and M.S. Chandio)
- Accelerated overrelaxation methods
for solving linear complementarity problem,
Journal of the University of
Electrical Science and Technology of China,
23:4(1994), 428-432. (In Chinese)
(With T.-Z. Huang)
- On the affine invariant convergence theorems of
inexact Newton method and Broyden's method,
Journal of the University of
Electrical Science and Technology of China,
23:5(1994), 535-540. (In Chinese)
(With P.-L. Tong)
- Asynchronous parallel nonlinear AOR algorithms,
Journal of Shanghai Normal University
(Natural Science),
24:4(1995), 13-18. (In Chinese)
(With Y.-M. Wei)
- Hybrid algebraic multilevel preconditioning methods,
Annals of Differential Equations,
12:1(1996), 13-27.
- A parallel projection iteration method
for large-scale overdetermined nonlinear systems,
Chinese Journal of Engineering Mathematics,
14:1(1997), 1-7. (In Chinese)
- On the equivalence of matrix norms related to the L_p norms,
Journal of Mathematical Research and Exposition,
18:4(1998), 499-502.
- New variants of the generalized synchronous and asynchronous
parallel matrix multisplitting relaxation methods,
Journal of Applied Sciences,
16:4(1998), 469-478.
(With Y.-F. Su)
- Bounds for spectral radii of iterative matrices,
Journal of Applied Sciences,
16:3(1998), 269-275.
(With T.-Z. Huang)
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