index

Xiezhang Li
Department of Mathematical Sciences
Georgia Southern University
Statesboro, GA 30460 USA

e-mail: xli@georgiasouthern.edu
tel: (912) 871-1475
fax: (912) 681-0654

Professional Education

   Ph.D. Numerical Analysis, 1990, Kent State University, Kent, OH, USA
              Dissertation: "An Adaptive method for solving nonsymmetric linear systems involving application of SCPACK"
              Advisor: Richard S.Varga, Ph.D.
   M.S.   Numerical Analysis, 1981, Shanghai Normal University, China
   B.S.    Mathematics, 1966, Shanghai Normal University, China

Professonal Experience

   2002 -          Full Professor of Mathematics, Georgia Southern University
2003 - 2004 Acting Chair, Department of Mathematical Science, Georgia Southern University
   1995             Associate Professor of Mathematics, Georgia Southern University
   1990             Assistant Professor of Mathematics, Georgia Southern University
   1981 - 1984 Lecturer, Department of Mathematics, Shanghai Normal University, Shanghai, China

Classes

MATH 1441 Calculus I
Syllabus
Exercises

MATH 2242 Calculus II
Syllabus
Exercises

MATH 7231 Advanced Numerical Annalysis I
Syllabus
Exercises
Algorithms

MATH 7232 Advanced Numerical Annalysis II
Syllabus
Exercises
Programs and project

MATH 1111 College Algebra
Syllabus
Exercises

MATH 1112 Trigonometry
Syllabus
Exercises

Publications

J. Zhu, X. Li, Y. Ge and G. Wang, Analysis on the strip-based projection model for discrete tomograph, Discrete Applied Mathematics, to appear.
X. Li, The optimal parameters of SOR-k methods for p-cyclic matrices, Applied Mathematics and Computation, 197(2) (2008) 614-621.
X. Li and Y. Wei, A note on representations for the Drazin inverse of 2 x 2 block matrices, Linear Alegbra and its Applications, 423 (2007) 332-338.
Y. Wei, X. Li, F. Ban & F Zhang, Relative perturbation bounds for the eigenvalues of diagonalizable and singular matrices -- application of perturbation theory for simple invariant subspaces, Linear Alegbra and its Applications, 419 (2006) 765-771.
J. Zhu, X. Li, Y. Ye and G. Wang, System generated y strip-based projections in discrete tomography, Developments in X-ray Tomography V, Proceedings of SPIE, vol. 6318 (2006) p.6318:10-17.
R. Hartwig, X. Li and Y. Wei, Representations for the Drazin inverse of a 2 x 2 block matrix, SIAM J. on Matrix Analysis and Apllications, 27 (2006) 757-771.
M. Chen and X. Li, Spectral properties of a near-periodic row-stochastic Leslie matrix, Linear Algebra and its Applications, 409 (2005) 166-186.
X. Li and E. Arroyo, A condition for the superiority of the (2,2)-step iterative methods over the related Chebyshev method, Linear Algebra and its Applications, 403 (2005) 143-158.
Y. Wei, X. Li and F. Bu, A perturbation bound of the Drazin inverse of a matrix by separation of simple invariant subspaces, SIAM J. on Matrix Analysis and Apllications, 27 (2005) 72-81.
M. Chen and X. Li, The supperiority of a new type of (2,2)-step iterative methods over the related Chebyshev method, Applied Mathematics and Computation, 162 (2005) 605-625.
X. Li and Y. Wei, An expression of the Drazin inverse of a perturbed matrix, Applied Mathematics and Computation, 153 (2004) 187-198.
M. Chen and X. Li, An estimation of the spectral radius of a product of block matrices, Linear Algebra and its Applications, 379 (2004) 267-275.
X. Li and Y. Wei, Iterative methods for the Drazin inverse of a matrix with a complex spectrum, Applied Mathematics and Computation, 147 (2004) 855-862.
Y. Wei and X. Li, An improvement of perturbation bounds for the Drazin inverse, Numerical Linear Algebra with Applications, 10 (2003) 563-575.
X. Li and Y. Wei, A note on the perturbation bound of the Drazin inverse, Applied Mathematics and Computation, 140 (2003) 329-340.
Y. Wei and X. Li and H. Wu, Subproper and regular splittings for restricted rectangular linear system, Applied Mathematics and Computation, 136 (2003) 535-547.
X. Li and Y. Wei, A note on computing the generalized inverse A^(2)_{T,S} of a matrix A, International Journal of Mathematics and Mathematical Sciences, 31:8 (2002) 497-509.
X. Li and Fangjun Arroyo, The convergence rate of the Chebyshev SIM under a perturbation of foci of an elliptic domain, Electronic Journal of Linear Algebra, 9 (2002) 55-66.
X. Li, Is a Chebyshev method optimal for an elliptic region also optmal for a nearly elliptic region ? Linear Algebra and its Applications, 338 (2001) 37-51.
X. Li and Y. Wei, An improvement on the perturbation of the group inverse and oblique projection, Linear Algebra and its Apllications, 338 (2001) 53-66.
X. Li, Comparison between the convergence rates of the Chebyshev method and the related (2,2)-step methods, Numerical Linear Algebra with Appl. 7 (2000) 169-180.
X. Li, An adaptive Chebyshev SIM based on perturbation theory, IMACS (International Association for Mathematics and Computer in Simulation) Series in Computational and Applied Mathematics, 4 (1998) 39-44.
X. Li, A uniform error bound for the overrelaxation methods, Linear Algebra and its Applications, 254 (1997) 315-333.
X. Li, The convergence rate of the Chebyshev SIM under a perturbation of a complex line-segment spectrum, Linear Algebra and its Applications, 230 (1995) 47-60.
X. Li, An adaptive method for solving nonsymmetric linear systems invloving applications of SCPACK, J. Comp. & Appl. Math. 44(1992) 351-370.
X. Li and R. Varga, A note on the SOR and USSOR iterative methods applied to p-cylic matrices, Chapter 14, Itertaive Methods for Large Linear Syatem, Edited by D. Kincaid and L. Hayes, 1990 Academic Press Inc.
M. Eiermann, X. Li and R. Varga, On hybrid semi-iterative methods, SIAM J. Numer. Anal. 26 (1989) 152-168.
X. Li and R. Varga, A note on the SOR and USSOR iterative methods applied to p-cylic matrices, Numer. Math. 56 (1989) 109-121.
X. Li, On computation of the Drazin inverse of a matrix, Natural Science, Shanghai Normal University, 3 (1982) 9-16.

Papers Submitted

X. Li and J. Zhu, Reconstruction in Discrete Tomography -- an application of the Moore-Penrose inverse, submitted to Applied Mathematics and Computation.
X. Li and J. Zhu, A reconstruction algorithm of the strip-based projection for discrete tomorgraphy, submitted to J. X-Ray Science and Technology.
L. Wang, J. Zhu and X. Li, The SOR-kM method for linear system with p-cyclic matrices, submitted to International J. of Computer Mathematics.