PUBLICATION LIST

On Systems of Linear and Nonlinear Equations:

  1. 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)

  2. 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)

  3. On the convergence of the factorization update algorithm, Journal of Computational Mathematics, 11:3(1993), 236-249. (With D.-R. Wang)

  4. 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)

  5. 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)

  6. 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)

  7. On monotone convergence of nonlinear multisplitting relaxation methods, Chinese Annals of Mathematics, 15B(1994), 335-348. (With D.-R. Wang)

  8. 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)

  9. Asynchronous multisplitting nonlinear Gauss-Seidel type method, Applied Mathematics, A Journal of Chinese Universities, 9B(1994), 189-194. (With D.-R. Wang)

  10. 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)

  11. Parallel nonlinear multisplitting relaxation methods, Applied Mathematics, A Journal of Chinese Universities, 10B(1995), 251-266. (With D.-R. Wang)

  12. Models of asynchronous parallel matrix multisplitting relaxed iterations, Parallel Computing, 21(1995), 565-582. (With D.J. Evans and D.-R. Wang)

  13. 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)

  14. Asynchronous multisplitting AOR method for a system of nonlinear algebraic equations, International Journal of Computer Mathematics, 55(1995), 223-233.

  15. On the convergence of the generalized matrix multisplitting relaxed methods, Communications in Numerical Methods in Engineering, 11(1995), 363-371.

  16. 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)

  17. 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)

  18. Variants of the synchronous and asynchronous matrix multisplitting unsymmetric AOR methods, Journal of Fudan University (Natural Science), 34:2(1995), 139-148.

  19. On the comparisons of the multisplitting unsymmetric AOR methods for M-matrices, Calcolo, 32:3-4(1995), 207-220.

  20. Parallel matrix multisplitting block relaxation iteration methods, Mathematica Numerica Sinica, 17:3(1995), 238-252. (In Chinese)

  21. Generalized asynchronous parallel multisplitting relaxation methods, Applied Mathematics, A Journal of Chinese Universities, 10A(1995), 133-140. (In Chinese)

  22. A class of hybrid algebraic multilevel preconditioning methods, Applied Numerical Mathematics, 19(1996), 389-399.

  23. 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)

  24. Parallel nonlinear AOR method and its convergence, Computers and Mathematics with Applications, 31:2(1996), 21-31.

  25. The monotone convergence rate of the parallel nonlinear AOR method, Computers and Mathematics with Applications, 31:7(1996), 1-8.

  26. Improved comparison theorem for the nonlinear multisplitting relaxation method, Computers and Mathematics with Applications, 31:8(1996), 23-30. (With D.-R. Wang)

  27. 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)

  28. Generalized asynchronous matrix multisplitting forward and backward relaxation methods, Mathematica Applicata, 9:1(1996), 121-126. (In Chinese) (With D.-R. Wang)

  29. 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)

  30. A class of new hybrid algebraic multilevel preconditioning methods, Linear Algebra and Its Applications, 260(1997), 223-255. (With D.-R. Wang)

  31. Parallel multilevel iterative methods, Linear Algebra and Its Applications, 250(1997), 317-347. (With D.-R. Wang)

  32. 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.

  33. Parallel hybrid algebraic multilevel iterative methods, Linear Algebra and Its Applications, 267(1997), 281-315.

  34. 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)

  35. Asynchronous parallel matrix multisplitting block relaxation iteration methods, Numerical Mathematics, A Journal of Chinese Universities (Chinese Series), 19:1(1997), 28-39. (In Chinese)

  36. Parallel hybrid iteration methods for block bordered linear systems, Applied Mathematics and Computation, 86:1(1997), 37-60.

  37. Asynchronous parallel multisplitting nonlinear Gauss-Seidel iteration, Applied Mathematics, A Journal of Chinese Universities, 12B:2(1997), 179-194. (With D.-R. Wang)

  38. 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)

  39. Blockwise matrix multi-splitting multi-parameter block relaxation methods, International Journal of Computer Mathematics, 64(1997), 103-118. (With D.J. Evans)

  40. A class of two-stage iterative methods for systems of weakly nonlinear equations, Numerical Algorithms, 14:4(1997), 295-319.

  41. On the convergence of parallel chaotic nonlinear multisplitting Newton-type methods, Journal of Computational and Applied Mathematics, 80:2(1997), 317-334.

  42. 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.

  43. Parallel multisplitting two-stage iterative methods for large sparse systems of weakly nonlinear equations, Numerical Algorithms, 15:3-4(1997), 347-372.

  44. A class of parallel decomposition-type relaxation methods for large sparse systems of linear equations, Linear Algebra and Its Applications, 282(1998), 1-24.

  45. 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)

  46. 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.

  47. 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)

  48. 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.

  49. 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)

  50. The convergence of the two-stage iterative method for hermitian positive definite linear systems, Applied Mathematics Letters, 11:2(1998), 1-5.

  51. 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)

  52. 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)

  53. 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)

  54. A class of asynchronous parallel multisplitting blockwise relaxation methods, Parallel Computing, 25(1999), 681-701.

  55. A unified framework for the construction of various algebraic multilevel preconditioning methods, Acta Mathematicae Applicatae Sinica, 15:2(1999), 132-143. (With O. Axelsson)

  56. Parallel interval matrix multisplitting AOR methods and their convergence, Applied Mathematics and Mechanics, 20:2(1999), 179-185. (In English) See also 20:2(1999), 169-174. (In Chinese)

  57. A class of synchronous parallel iterative methods for the systems of nonlinear algebraic equations, Mathematica Numerica Sinica, 21:4(1999), 407-416. (In Chinese)

  58. Measure parameters of the effectiveness of the parallel iteration methods, Mathematica Numerica Sinica, 21:3(1999), 325-330. (In Chinese) (With Z.-F. Gao and T.-Z. Huang)

  59. Asynchronous multisplitting AOR methods for a class of systems of weakly nonlinear equations, Applied Mathematics and Computation, 98:1(1999), 49-59.

  60. A new generalized asynchronous parallel multisplitting iteration method, Journal of Computational Mathematics, 17:5(1999), 449-456.

  61. Block and asynchronous two-stage methods for mildly nonlinear systems, Numerische Mathematik, 82:1(1999), 1-20. (With V. Migallon, J. Penades and D.B. Szyld)

  62. A class of parallel hybrid two-stage iteration methods for the block bordered linear systems, Applied Mathematics and Computation, 101:2-3(1999), 245-267.

  63. Convergence analysis of the two-stage multisplitting method, Calcolo, 36:2(1999), 63-74.

  64. On the convergence of asynchronous nested matrix multisplitting methods for linear systems, Journal of Computational Mathematics, 17:6(1999), 575-588. (With D.J. Evans and D.-R. Wang)

  65. Some properties of the block matrices in the parallel decomposition-type relaxation methods, Applied Numerical Mathematics, 29:2(1999), 167-170. (With R. Nabben)

  66. A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations, Advances in Computational Mathematics, 10(1999), 169-186.

  67. A framework of parallel algebraic multilevel preconditioning iterations, Acta Mathematicae Applicatae Sinica, 15:4(1999), 387-395.

  68. A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations, Journal of Computational and Applied Mathematics, 110(1999), 271-286. (With R.C. Calinescu and D.J. Evans)

  69. Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems, Applied Mathematics and Computation, 109:2-3(2000), 273-285.

  70. A class of asynchronous parallel iterations for the systems of nonlinear algebraic equations, Computers and Mathematics with Applications, 39:7-8(2000), 81-94.

  71. A class of new parallel hybrid algebraic multilevel iterations, Journal of Computational Mathematics, 19:6(2001), 651-672.

  72. Sufficient conditions for the convergent splittings of non-Hermitian positive definite matrices, Linear Algebra and Its Applications, 330:1-3(2001), 215-218. (With C.-L. Wang)

  73. Modified block SSOR preconditioners for symmetric positive definite linear systems, Annals of Operations Research, 103(2001), 263-282.

  74. On the convergence of nonstationary multisplitting two-stage iteration methods for hermitian positive definite linear systems, Journal of Computational and Applied Mathematics, 138:2(2002), 287-296. (With C.-L. Wang)

  75. Splitting-MINRES methods for linear systems with the coefficient matrix with a dominant indefinite symmetric part, Mathematica Numerica Sinica, 24:1(2002), 113-128. (In Chinese) (With S.-X. Qiu)

  76. A regularized conjugate gradient method for symmetric positive definite system of linear equations, Journal of Computational Mathematics, 20:4(2002), 437-448. (With S.-L. Zhang)

  77. On the convergence of additive and multiplicative splitting iterations for systems of linear equations, Journal of Computational and Applied Mathematics, 154(2003), 195-214.

  78. Convergence theorems for parallel multisplitting two-stage iterative methods for mildly nonlinear systems, Linear Algebra and Its Applications, 362(2003), 237-250. (With C.-L. Wang)

  79. On the convergence of parallel nonstationary multisplitting iteration methods, Journal of Computational and Applied Mathematics, 159(2003), 1-11.

  80. Asymptotically optimal successive overrelaxation methods for systems of linear equations, Journal of Computational Mathematics, 21:5(2003), 603-612. (With X.-B. Chi)

  81. An algebraic convergence theorem for the multiplicative Schwarz iteration, Numerical Mathematics, A Journal of Chinese Universities (English Series), 12:Supplememnt(2003), 179-182.

  82. Weak-convergence theory of quasi-nonnegative splittings for singular matrices, Applied Numerical Mathematics, 47:2(2003), 75-89. (With L. Wang and J.-Y. Yuan)

  83. A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part, Numerical Algorithms, 35:2-4(2004), 351-372. (With O. Axelsson and S.-X. Qiu)

  84. Broyden method for nonlinear equation in several variables, Mathematica Numerica Sinica, 26:4(2004), 385-400. (In Chinese) (With H.-B. An)

  85. Directional secant method for nonlinear equations, Journal of Computational and Applied Mathematics, 175:2(2005), 291-304. (With H.-B. An)

  86. NGLM: A globally convergent Newton-GMRES method, Mathematica Numerica Sinica, 27:2(2005), 151-174. (With H.-B. An)

  87. On efficient variants and global convergence of the Newton-GMRES method, Journal of Numerical Methods and Computer Applications, 26:4(2005), 291-300. (With H.-B. An)

  88. A shift-splitting preconditioner for non-Hermitian positive definite matrice, Journal of Computational Mathematics, 24:4(2006), 539-552. (With Y.-F. Su and J.-F. Yin)

  89. A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations, Applied Numerical Mathematics, 57:3(2007), 235-252. (With H.-B. An)

  90. Splitting iteration methods for non-Hermitian positive definite systems of linear equations, Hokkaido Mathematical Journal, (2007)

On Linear and Nonlinear Least Squares Problems:

  1. 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)

  2. 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)

  3. Column-decomposed relaxation methods for the overdetermined systems of linear equations, International Journal of Applied Mathematics, 13:1(2003), 71-82. (With C.-H. Jin)

On Variational and Complementarity Problems:

  1. 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)

  2. 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.

  3. New comparison theorem for the nonlinear multisplitting relaxation methods for the nonlinear complementarity problems, Computers and Mathematics with Applications, 32:4(1996), 41-48.

  4. 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)

  5. The convergence of parallel iteration algorithms for linear complementarity problems, Computers and Mathematics with Applications, 32:9(1996), 1-17.

  6. 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.

  7. 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)

  8. Matrix multisplitting relaxation methods for linear complementarity problems, International Journal of Computer Mathematics, 63(1997), 309-326. (With D.J. Evans)

  9. 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)

  10. Asynchronous parallel nonlinear multisplitting relaxation methods for the large sparse nonlinear complementarity problems, Applied Mathematics and Computation, 92:1(1998), 85-100.

  11. A class of generalized multisplitting relaxation methods for linear complementarity problems, Applied Mathematics, A Journal of Chinese Universities, 13B(1998), 188-198.

  12. On the monotone convergence of matrix multisplitting relaxation methods for the linear complementarity problem, IMA Journal of Numerical Analysis, 18:4(1998), 509-518.

  13. 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.

  14. Chaotic iterative methods for the linear complementarity problems, Journal of Computational and Applied Mathematics, 96:2(1998), 127-138. (With D.J. Evans)

  15. On the convergence of the multisplitting methods for the linear complementarity problem, SIAM Journal on Matrix Analysis and Applications, 21:1(1999), 67-78.

  16. Asynchronous multisplitting relaxation methods for linear complementarity problems, International Journal of Computer Mathematics, 70(1999), 519-538. (With D.J. Evans)

  17. Parallel chaotic multisplitting iterative methods for the large sparse linear complementarity problem, Journal of Computational Mathematics, 19:3(2001), 281-292.

  18. Matrix multisplitting methods with applications to linear complementarity problems: Parallel synchronous and chaotic methods, Calculateurs Paralleles, 13:1(2001), 125-154. (With D.J. Evans)

  19. Matrix multisplitting methods with applications to linear complementarity problems: Parallel asynchronous methods, International Journal of Computer Mathematics, 79:2(2002), 205-232. (With D.J. Evans)

  20. Relaxed asynchronous iterations for the linear complementarity problem, Journal of Computational Mathematics, 20:1(2002), 97-112. (With Y.-G. Huang)

  21. Experimental study of the asynchronous multisplitting relaxation methods for linear complementarity problems, Journal of Computational Mathematics, 20:6(2002), 561-574.

  22. A class of asynchronous parallel multisplitting relaxation methods for the large sparse linear complementarity problems, Journal of Computational Mathematics, 21:6(2003), 773-790. (With Y.-G. Huang)

  23. A modified damped Newton method for linear complementarity problems, Numerical Algorithms, 42:3-4(2006), 207-228. (With J.-L. Dong)

On Incomplete Factorizations and Approximate Reductions:

  1. A class of incomplete orthogonal factorization methods. I: Methods and theories, BIT, 41:1(2001), 53-70. (With I.S. Duff and A.J. Wathen)

  2. A class of incomplete orthogonal factorization methods. II: Experiments and applications, in preparation, (1998). (With I.S. Duff and A.J. Wathen)

On Matrix Equations:

  1. The constrained solutions of two matrix equations, Acta Mathematica Sinica, English Series, 18:4(2002), 671-678. (With A.-P. Liao)

  2. Least-squares solutions of the matrix equation A*XA=D in bisymmetric matrix set, Mathematica Numerica Sinica, 24:1(2002), 9-20. (In Chinese) (With A.-P. Liao)

  3. Least-squares solution of AXB=D over symmetric positive semidefinite matrices X, Journal of Computational Mathematics, 21:2(2003), 175-182. (With A.-P. Liao)

  4. Least squares symmetric and skew-symmetric solutions of the matrix equation AXA^T + BYB^T = C with the least norm, Mathematica Numerica Sinica, 27:1(2005), 81-95. (With A.-P. Liao)

  5. On the minimal nonnegative solution of nonsymmetric algebraic Riccati equation, Journal of Computational Mathematics, 23:3(2005), 305-320. (With X.-X. Guo)

  6. Best approximate solution of matrix equation AXB + CYD = E, SIAM Journal on Matrix Analysis and Applications, 27:3(2005), 675-688. (With A.-P. Liao and Y. Lei)

  7. Alternately linearized implicit iteration methods for the minimal nonnegative solutions of nonsymmetric algebraic Riccati equations, Numerical Linear Algebra with Applications, 13:8(2006), 655-674. (With X.-X. Guo and S.-F. Xu)

  8. Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations, Numerical Linear Algebra with Applications, 13:10(2006), 801-823. (With Y.-B. Deng and Y.-H. Gao)

  9. Modified Bernoulli iteration methods for quadratic matrix equation, Journal of Computational Mathematics, 25:5(2007), 498-511. (With Y.-H. Gao)

On Inverse Eigenvalue Problems:

  1. On the construction of positive definite Jacobian matrix from two eigenpairs, Journal on Numerical Methods and Computer Applications, 23:2(2002), 131-138. (In Chinese) (With A.-P. Liao)

On Differential-Algebraic Equations:

  1. On the convergence of waveform relaxation methods for linear initial value problems, Journal of Computational Mathematics, 22:5(2004), 681-698. (With J.-Y. Pan)

  2. Two-step waveform relaxation methods for implicit linear initial value problems, Numerical Linear Algebra with Applications, 12:2-3(2005), 293-304. (With J.-Y. Pan and M.K. Ng)

  3. On alternating splitting waveform relaxation method and its successive overrelaxation acceleration, Computers and Mathematics with Applications, 49:2-3(2005), 157-170. (With J.-Y. Pan and M.K. Ng)

  4. Convergence analysis of two-stage waveform relaxation method for the initial value problems, Applied Mathematics and Computation, 172:2(2006), 797-808. (With J. Wang)

On Numerical Partial Differential Equations:

  1. A hybrid preconditioner of banded matrix approximation and alternating direction implicit iteration for symmetric Sinc-Galerkin linear systems, Linear Algebra and Its Applications, 366(2003), 317-335. (With M.K. Ng)

  2. Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems, SIAM Journal on Matrix Analysis and Applications, 24(2003), 603-626. (With G.H. Golub and M.K. Ng)

  3. Restrictively preconditioned conjugate gradient methods for systems of linear equations, IMA Journal of Numerical Analysis, 23:4(2003), 561-580. (With G.-Q. Li)

  4. Preconditioners for nonsymmetric block Toeplitz-like-plus-diagonal linear systems, Numerische Mathematik, 96:2(2003), 197-220. (With M.K. Ng)

  5. Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems, Numerische Mathematik, 98:1(2004), 1-32.. (With G.H. Golub and J.-Y. Pan)

  6. Combinative preconditioners of modified incomplete Cholesky factorization and Sherman-Morrison-Woodbury update for self-adjoint elliptic Dirichlet-periodic boundary value problems, Journal of Computational Mathematics, 22:6(2004), 833-856. (With G.-Q. Li and L.-Z. Lu)

  7. Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts, BIT Numerical Mathematics, 44:2(2004), 363-386. (With L. Wang)

  8. Block triangular and skew-Hermitian splitting methods for positive-definite linear systems, SIAM Journal on Scientific Computing, 26:3(2005), 844-863. (With G.H. Golub, L.-Z. Lu and J.-F. Yin)

  9. On inexact preconditioners for nonsymmetric matrices, SIAM Journal on Scientific Computing, 26:5(2005), 1710-1724. (With M.K. Ng)

  10. On generalized successive overrelaxation methods for augmented linear systems, Numerische Mathematik, 102:1(2005), 1-38. (With B.N. Parlett and Z.-Q. Wang)

  11. Structured preconditioners for nonsingular matrices of block two-by-two structures, Mathematics of Computation, 75:254(2006), 791-815.

  12. Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems, Journal of Computational and Applied Mathematics, 187:2(2006), 202-226. (With Z.-Q. Wang)

  13. New preconditioners for saddle point problems, Applied Mathematics and Computation, 172:2(2006), 762-771. (With J.-Y. Pan and M.K. Ng)

  14. Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices, SIAM Journal on Scientific Computing, 28:2(2006), 583-603. (With G.H. Golub and C.-K. Li)

  15. Two-step iterative methods for solving the stationary convection-diffusion equation with a small parameter at the highest derivative on a uniform grid, Computational Mathematics and Mathematical Physics, 46:2(2006), 282-293. (With L.A. Krukier and T.S. Martynova)

  16. On successive overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations, Numerical Linear Algebra with Applications, 14:4(2007), 319-335. (With G.H. Golub and M.K. Ng)

  17. Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems, IMA Journal of Numerical Analysis, 27:1(2007), 1-23. (With G.H. Golub)

  18. Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices, Mathematics of Computation, 76:257(2007), 287-298. (With G.H. Golub and C.-K. Li)

  19. On preconditioned iterative methods for Burgers equations, SIAM Journal on Scientific Computing, 29:1(2007), 415-439. (With Y.-M. Huang and M.K. Ng)

  20. On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems, Preprint, (2003). (With G.H. Golub and M.K. Ng)

In Proceedings of International Conferences:

  1. On the monotone convergence of matrix multisplitting iteration methods, In Proceedings of 92' Shanghai International Numerical Algebra and Its Application Conference, E.-X. Jiang ed., China Science and Technology Press, Beijing, 125-128(1994). (With D.-R. Wang)

  2. A unified framework for the construction of various algebraic multilevel preconditioning methods, In Proceedings of the Conference on Algebraic Multilevel Iteration Methods (AMLI '96), O. Axelsson and B. Polman eds., 63-76(1996). (With O. Axelsson)

  3. 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).

  4. On the convergence of the generalized asynchronous multisplitting block two-stage relaxation methods for the large sparse systems of mildly nonlinear equations, In Proceedings of the Eleventh International Conference on Domain Decomposition Methods, C.-H. Lai, P.E. Bjorstad, M. Cross and O.B. Widlundeds. eds., DDM Organization, 214-222(1999). (With D.J. Evans)

  5. Convergence of asynchronous multisplitting two-stage relaxation methods for block systems of weakly nonlinear equations, In Proceedings of the Fifth China-Japan Seminar on Numerical Mathematics, Z.-C. Shi and H. Kawarada eds., Science Press of China, Beijing/New York, 1-14(2002).

  6. A Lanczos-based projection method for symmetric indefinite linear systems, In Proceedings of the Seventh China-Japan Seminar on Numerical Mathematics, Z.-C. Shi and H. Okamoto eds., Science Press of China, Beijing/New York, 1-18(2006). (With Xue-Bin Chi and Zeng-Qi Wang)

In Proceedings of Chinese Conferences:

  1. 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)

  2. 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)

  3. 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)

  4. 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)

  5. 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).

  6. 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)

  7. 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:

  1. A note on 'Multisplitting with different weighting schemes', Chinese Journal of Engineering Mathematics, 10:2(1993), 107-110.

  2. Convergence analysis of the matrix multisplitting AOR algorithm, Natural Science Journal of Heilongjiang University, 10:(special)(1993), 1-5. (In Chinese)

  3. 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)

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  9. 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)

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  12. A parallel projection iteration method for large-scale overdetermined nonlinear systems, Chinese Journal of Engineering Mathematics, 14:1(1997), 1-7. (In Chinese)

  13. On the equivalence of matrix norms related to the L_p norms, Journal of Mathematical Research and Exposition, 18:4(1998), 499-502.

  14. 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)

  15. Bounds for spectral radii of iterative matrices, Journal of Applied Sciences, 16:3(1998), 269-275. (With T.-Z. Huang)

  16. Construction and analysis of structured preconditioners for block two-by-two matrices, Journal of Shanghai University (English Edition), 8:4(2004), 397-405.



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