对于一般非对称线性代数方程组, 构造了有效的 对称与反对称分裂迭代算法, 并建立了算法的 收敛理论。 同时, 还研究了若干特殊的矩阵方程的数学 性质和直接解法。

2002年正式发表的论文如下:

• 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)
  
• 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)
  
• 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)
• Relaxed asynchronous iterations for the linear complementarity problem, Journal of Computational Mathematics, 20:1(2002), 97-112. (With Y.-G. Huang)
• 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)
• On the construction of positive definite Jacobian matrix from two eigenpairs, Journal of Numerical Methods and Computer Applications, 23:2(2002), 131-138. (In Chinese) (With A.-P. Liao)
• 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)
• 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).
• The constrained solutions of two matrix equations, Acta Mathematica Sinica (English Series), 18:4(2002), 671-678. (With A.-P. Liao)
• Experimental study of the asynchronous multisplitting relaxation methods for the linear complementarity problems, Journal of Computational Mathematics, 20:6(2002), 561-574.