Cao Jiansheng


Graduate Student
East Tennessee State University
Department of Matheamtics




Contact Information

Phone             (423) 433-3413
E-mail            zjcc10@access.etsu.edu

Education

B.S., Computing Mathematics 1982, Shandong Technology University, Jinan, Shandong Province, P.R. China
M.S., Computing Mathematics 1986, Xi'an Jiaotong University, Xi'an, Shannxi Province, P.R. China

Working Experience

I was an associate professor at Dept of Math from 1989 to 2000 in University of Petroleum, Dongying, Shandong, P.R. China

Courses Taught from 1989 to 2000 in University of Petroleum:

Calculus; Linear Algebra; Engineering Mathematics; Mathematical Model ;
Matrix and its Applications(for graduate students).
Research Interest
Theory of Matrix and its applications, Numerical solutions of linear algebra equations and differential equations.

Major Publications

  1. The two Classes of best approximation of a matrix on the linear mainfold, Mathematica Numerica Sinica , 20(2) 1998, 148-152(English summary, Chinese).
  2. The positive definite and positive semi-definite solutions of AX=B on subspace, Engineering Mathematics 3(17), 2000, 31-35.
  3. A class of the best approximation of matrices under restriction, Applied Mathematics-A Journal of chinese University 11(2)1996,73-76.
  4. The best approximation solutions real symmetric solutions of two classes under restriction condition, Hunan Annals of Mathematics 18(3), 1998, 73-76.
  5. Generialized inverse eigenvalue problem of matrix and its applications, Proceedings of 18th International Conference on computer and Industrial Engineering , China Machine Press, 10/95.
  6. Partial symmetric and ansi-symmetric solutions on matrix equation AX=B, Journal of the University of Petroleum China, 21(3), 1997, 81-87.
  7. Best approximation solutions of two classes of a mtrix on the linear mainfold, Journal of the University of Petroleum China 20(4), 1996,105-109.
  8. Minimal norm-solution and its stability of consistent matrix equation AXB=D, Journal of the University of Petroleum China 20(2),1996, 102-104.
  9. The best approximation of real symmetric matrices on the bilinear mainfold, Journal of Shandong Technology University , 26(1), 1996, 16-20.
  10. The best approximation of matrix with the constrained matrix equations, Journal of Shandong Technology University 26 (1996), 317-323.
  11. The best approximation of matrix with the constrained matrix conditions, Shandong Science 9(2), 1996, 8-11.
  12. The high accuracy explicit difference scheme for solving dispersive equation, Shandong Science 8(4), 1995, 24-26.
  13. Two classes of the best approximation solutions under restriction of linear equation, Proceedings of the Second China matrix Theory and its application conference , Jinlin University Press, 08/1996.
  14. Theorem of convergence region of Newton and damped Newton methods, Journal of Nanjing Normal University , 12(2), 1989, 24-28.
  15. Solution of constrained matrix equations, Journal of Shandong University of Technology 28, 1998, 241-243.
  16. Undergraduate Student Book: "Computational Methods", University of Petroleum Press, 02/1998.

Research Projects

  1. Recognition of layer position of sands coming from oil well, Project of Liaohe oil field, 1996, I designed a software by using VB in this project.
  2. Stability of oil well in producing oil, Project of Jidong oil field, 1998.

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