Man-Chung Yeung
Department of Mathematics
Dept. 3036
1000 East University Avenue
Laramie, WY 82071

307-766-4012 (office)

Ph.D., UCLA, 1997

Professional Activities



  M. Yeung, C. Douglas, and L. Lee, "A Spectral Projection Preconditioner for Solving Ill-conditioned Linear Systems",
accepted for publication by Journal of Computational Science. arXiv


  G. Yin, R. Chan, and M. Yeung, "A FEAST Algorithm with Oblique Projection for Generalized Eigenvalue Problems",
accepted for publication by Numerical Linear Algebra with Applications.  paper.pdf, arXiv

  M. Yeung, "ML(n)BiCGStabt: a ML(n)BiCGStab variant with A-transpose". paper.pdf, arXiv
     Proceedings of 4th ICCIS, China, 2012. 
     Journal of Computational and Applied Mathematics 272 (2014) 57-69.

  M. Yeung, "An introduction to ML(n)BiCGStab",
    Report 11-06, Math. Dept., UW & arXivMatlab codes

    Proceedings of BEM XXXIV, WITpress, edited by Brebbia & Poljak, 2012.

    Presentations: BEM XXXIII, 2011.

  M. Yeung, "ML(n)BiCGSTAB: reformulation, analysis and implementation",
   Report 09-01, Math. Dept., UW & arXiv.
   Presentations: ILAS 2007; Gene Golub Memorial Conference 2008.
   Numer. Math. Theor. Meth. Appl. 5 (2012), pp. 447-492. paper.pdf, codes

   M. Yeung, J. Tang, and C. Vuik, "On the Convergence of GMRES with Invariant-Subspace Deflation",
   Report 10-14, Delft Univ. of Technology.  paper.pdf  

   M. Yeung, "On the Solution of Singular Systems by Krylov Subspace Methods", 
   Proceedings of 2010 Ninth International Symposium on Distributed Computing and Applications to Business,
   Engineering and Science (DCABES 2010), 10-12 August 2010, Hong Kong, China. paper.pdf

   M. Yeung and D. Boley, " Transpose-free Multiple Lanczos and Its Application in Pade approximation ",
   Journal of Computational and Applied Mathematics, Vol 177/1 pp. 101-127, 2005.  paper.pdf

   Gui-Bing Zhao, Xudong Hu, Man-Chung Yeung, Ovid A. Plumb, and Maciej Radosz, " Nonthermal-Plasma Reactions
   of Dilute Nitrogen Oxide Mixtures: NOx-in-Nitrogen ",   Ind. Eng. Chem. Res., 2004, 43, 2315-2323.  paper.pdf

   M. Yeung, " Probabilistic Analysis of Complex Gaussian Elimination without Pivoting ",
   Linear Algebra Appls., 384 (2004), 109-134.  paper.pdf

   Y. Saad, M. Yeung, J. Erhel and F. Guyomarc'h, " A deflated version of the Conjugate Gradient Algorithm ",
   SIAM J. Sci. Comput. Vol. 21, No. 5, pp. 1909-1926, 2000.  paper.pdf

   M. Yeung and T. Chan, " ML(k)BiCGSTAB: A BiCGSTAB Variant Based on Multiple Lanczos Starting Vectors ",
   SIAM J. Sci. Comput. Vol. 21, No. 4, pp.1263-1290, 1999.  paper.pdf   Matlab code

   T. Chan, E. Chow, Y. Saad and M. Yeung, " Preserving Symmetry in Preconditioned Krylov Subspace Methods ",
   SIAM J. Sci. Comput. Vol. 20, No. 2, pp.568-581, 1998.  paper.pdf

   M. Yeung and T. Chan, " Probabilistic Analysis of Gaussian Elimination without Pivoting ",
   SIAM J., Matrix Anal. Appl., pp. 499-517, April 1997.  paper.pdf

   R. Chan and M. Yeung, " A Note on the Besov Space B(2, 1/2) ",
   SEA Bull. Math., 19 (1995), 75-81.  paper.pdf

   S. Chung and M. Yeung, " On a Subspace Related to the Korovkin Closure ",
   SEA Bull. Math., 18 (1994), 11-18.  paper.pdf

   M. Yeung and R. Chan, " Circulant Preconditioners for Toeplitz Matrices with Piecewise Continuous Generating Functions ",
   Math. Comp., 61 (1993), 701-718.  paper.pdf

   R. Chan and M. Yeung, " Circulant Preconditioners for Complex Toeplitz Matrices ",
   SIAM J. Numer. Anal., 30 (1993), 1193-1207.  paper.pdf

   R. Chan and M. Yeung, " Jackson's Theorem and Circulant Preconditioned Toeplitz Systems ",
   J. Approx. Theory, 70 (1992), 191-205.  paper.pdf

   R. Chan and M. Yeung, " Circulant Preconditioners Constructed from Kernels ",
   SIAM J. Numer. Anal, 29 (1992), 1093-1103.  paper.pdf

   R. Chan and M. Yeung, " Circulant Preconditioners for Toeplitz Matrices with Positive Continuous Generating Functions ",
   Math. Comp., 58 (1992), 233-240.  paper.pdf

   R. Chan, X. Jin and M. Yeung, " The Spectra of Super-optimal Circulant Preconditioned Toeplitz Systems ",
   SIAM J. Numer. Anal., 28 (1991), 871-879.  paper.pdf

   R. Chan, X. Jin and M. Yeung, " The Circulant Operator in the Banach Algebra of Matrices ",
   Linear Algebra Appls., 149 (1991), 41-53.  paper.pdf

Teaching (Spring 2017):

Math2200    Math2250    Math2310

Professional Activities


     9.   BEM XXXIII, WIT, June, 2011. (Talk: Introduction to ML(n)BiCGStab) 

     8.   Gene Golub Memorial Conference, Feb. 29 – Mar. 1, 2008,  University of Massachusetts, Dartmouth. (Talk: Analysis of ML(n)BiCGSTAB)

     7.   14th Conference of the International Linear Algebra Society, July 16-20, 2007, Department of Mathematics,

           Shanghai University, Shanghai, China. (Talk: Analysis of ML(n)BiCGStab)

     6.   Householder Symposium XVI, May 23-27, 2005, Seven Springs Mountain Resort, Champion, Pennsylvania. (Talk: Pade approx.)    

     5.   11th Conference of the International Linear Algebra Society, July 19 - 22, 2004, University of Coimbra, Portugal. (Talk: Complex GE)

     4.   Eighth Copper Mountain conference on iterative methods, March 28 - April 2, 2004.

     3.   SIAM Conference on Applied Linear Algebra, July 15 - 19, 2003, The College of William & Mary Williamsburg, VA. (Talk: ML(k)BiCGSTAB )

     2.   Sixth IMACS International Symposium on Iterative Methods in Scientific Computing, March 27-30, 2003. (Talk: ML(k)BiCGSTAB )

     1.   IMA workshop: Optimization in Simulation Based Models, January 9-16, 2003.


     Recipient of a NSF grant as PI, 2003-2006.


      3. Yeung participated in the Summer Research Apprentice Program 2004 and supervised (with Jon Held) Shawn Sickel from

          Saint Thomas Aquinas High School, FL. This program is funded by Wyoming NSF EPSCoR. Here is the poster,

          presentation and paper that Shawn made in this program.

      2. Yeung is participating in the graduate committee of Math Dept..

      1. Yeung was on Satoko Kurita’s Doctoral Committee in 2002.