PUBLICATION LIST (1991---1998)

 


  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. 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)

  55. 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)

  56. 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)

     


  57. 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.

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

  59. 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)

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

  61. 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.

  62. 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)

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

  64. 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)

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

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

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

  68. 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.

  69. 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:

  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 eds., 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), Axelsson, O. and Polman, B. 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).
 

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)

  4. 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)

  5. 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)

  6. 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)

  7. 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)

  8. 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)

  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)

  10. Asynchronous parallel nonlinear AOR algorithms, Journal of Shanghai Normal University (Natural Science), 24:4(1995), 13-18. (In Chinese) (With Y.-M. Wei)

  11. Hybrid algebraic multilevel preconditioning methods, Annals of Differential Equations, 12:1(1996), 13-27.

  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)




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