Research Intersets
 Numerical Optimization
 Numerical Linear Algebra
 Mathematics in Signal Processing
Current Projects
 "The optimal Successive OverRelaxation Method for a class of shifted
companion matrices"
 "Spectral properties of a rowstochastic Leslie matrix''
 "Conjugate Gradient algorithm for the nonnegative matrix
factorizations and applications in signal and image processing''
Publications:

``The Superiority of a New Type (2,2)Step Iterative Method
over the Related Chebyshev Method,'' Joint with Xiezhang Li,
Applied Mathematics and Computation, 2004 (accepted).

``An Estimation of the Spectral Radius of a Product of Block
Structured Matrices,'' Joint with Xiezhang Li, Linear Algebra
and Its
Applications, Vol. 379, March, 2004, pp. 267275.

``Appendix: Concepts of Linear Algebra'', in the text book
Signal
and Image Processing by T. Bose, John Wiley & Sons, 2002.

``A Direction Set Based Algorithm for Adaptive Least Squares
Problems in Signal Processing,''
M.Q. Chen, The Kluwer Book Series on
Applied and Computational Control, Signals and Circuits : Recent
Developments, 2001, pp. 213236.
 ``A Direction Set Based Algorithm for Adaptive Spectral
Estimation,'' Proceedings of SPIE Conference on
Advanced Signal Processing Algorithms, Architectures, and
Implementations, Summer, 2000, pp. 173184.
 ``A Direction Set Based Algorithm for Adaptive Filtering'',
Joint with Tamal Bose and Guo Fang Xu,
IEEE Transactions on Signal Processing, Vol. 47, No. 2,
February 1999, pp. 535540.

``A Direction Set Based Algorithm for Least Squares
Problems in Adaptive Signal Processing'',
Linear Algebra and Its Applications,
Vol. 284, No. 13, November 1998, pp. 7394.
 ``Stability of twodimensional discrete systems with periodic
coefficients,''
Joint with T. Bose, K.S. Joo, and G.F. Xu,
IEEE Trans. on Circuits and Systems, Part II:
Analog and Digital Signal Processing, Vol. 45, No. 7,
July 1998, pp. 839847.
 ``A Fast Adaptive Algorithm for Spectral Estimation'',
Joint with Tamal Bose and Guo Fang Xu,
Proceeding of IEEE PACRIM'97,
Vol.1, pp. 146149.
 ``A Direction Set Based Algorithm for Adaptive Filtering,''
Joint with Tamal Bose and Guo Fang Xu,
Proceeding of IEEE PACRIM'97,
Vol.1, pp. 457460.
 ``Near Optimal 2Stage RungeKutta Schemes For Solving
A Class of Nonsymmetric Linear Systems,''
Joint with Chichia Chiu,
Iterative Methods in Scientific Computation, edited by
Junping Wang, Myron Allen III, Benito M. Chen, and Tarek Mathew,
IMACS Series in Computational and Applied Mathematics, Vol. 4,
1997, pp. 2732.
 ``A Direction Set Based Algorithm for Solving
A Class of Adaptive Least Squares Problems,''
Iterative Methods in Scientific Computation, edited by
Junping Wang, Myron Allen III, Benito M. Chen, and Tarek Mathew,
IMACS Series in Computational and Applied Mathematics, Vol. 4,
1997, pp. 351356.
 ``Stability of 2D periodically shift variant digital filters,''
Joint with T. Bose, K.S. Joo, and G.F. Xu,
Proceeding of ISCAS97, September, 1996.
 ``Conjugate Gradient Method in Adaptive Bilinear Filtering,''
joint with T. Bose,
IEEE Transactions on Signal Processing,
Vol. 43, No. 6, 1995, pp. 15031508.
 ``BIBO Stability of the Discrete Bilinear System,''
joint with T. Bose,
Digital Signal Processing, Vol. 5, 1995, pp. 160166.
 ``Regiondependent Optimal mstage RungeKutta Schemes for
Solving a Class of Nonsymmetric Linear Systems,''
joint with C. Chiu,
Linear Algebra and its Applications,
Vol. 212/213, Nov. 15 1994, pp. 523546.
 ``Conjugate Gradient Method for Adaptive Nonlinear Filtering,''
joint with S. Rajan, K. S. Joo, and T. Bose,
Proceeding of the IEEE Midwest Symposium on Circuits and
Systems,
August, 1994, pp. 13271330.
 ``Optimal mStage RungeKutta Schemes for Steadystate Solutions
of Hyperbolic Equations,''
Proceedings of The 14th IMACS World Congress on Computational
and Applied Mathematics, Vol. 3, July, 1994, pp. 11751179.
 ``Optimal mStage RungeKutta Schemes for Steadystate Solutions
of Hyperbolic Equations and Solutions of Nonsymmetric Systems of
Linear Equations,''
A Collection of Technical Papers  1993 Conference
on Scientific and Engineering Computing for Young Chinese Scientists,
August 1993, pp. 2732.
 ``Optimal mStage RungeKutta Schemes for Solving
Steady State Solutions of Hyperbolic Equations,''
joint with C. Chiu,
Numerical Methods for Partial Differential Equations,
9, 1993, pp. 643666.
 ``Adaptive Bilinear Filtering,''
joint with T. Bose,
Proceeding of IEEE International Symposium on Circuits and
Systems,
Chicago, May 1993, pp. 4851.
 ``Design of Twodimensional Digital Filters in the Spatial Domain,''
joint with T. Bose,
IEEE Transactions on Signal Processing,
Vol. 41, No. 3, March 1993, pp. 14641469.
 ``Two's Complement Quantization in Orthogonal Biquad Filters,''
joint with T. Bose and D. Trautman,
Circuits, systems and signal processing, 1993.
 ``Authors' Reply to 'Comments on Overflow
oscillations in statespace digital filters,''
joint with T. Bose,
IEEE Transaction on Circuits and Systems, Sept. 1992.
 ``Conjugate Subspaces Decomposition and its Application in
Solving Linear Systems with Many Righthand Sides,''
Linear Algebra and its Application, Vol. 162164,
Feb. 1992, pp. 739943.
 ``Stability of Digital Filters Implemented
with Two's Complement Truncation Quantization,''
joint with T. Bose,
IEEE Transaction on Signal Processing,
Vol. 40, No. 1, Jan. 1992, pp. 2431.
 ``Overflow Oscillations in Statespace Digital Filters,''
joint with T. Bose,
IEEE Transaction on Circuits and Systems,
Vol. CAS38, July 1991, pp. 807810.
 ``Stability of Normal Form Digital Filters with
Two's Complement Quantization,''
joint T. Bose and F. Brammer,
Proc. IEEE Intl. Conf. Acous. Speech and Signal Processing,
Vol. 3, May 1991, pp. 18891892.
 ``Conjugate Subspace Decomposition and its Application in
Solving Linear Systems with Many Righthand Sides,''
The Center for Supercomputing Research and Development
Report No. 1024, October 1990.
 A Parallel QuasiNewton Method for Partially Separable
LargeScale Minimization,
The Center for Supercomputing Research and Development
Report No. 1028, October 1990.
 ``A parallel quasiNewton method for partially
separable large scale minimization,''
joint with S.P. Han,
Annals of Operation Research, Vol. 14, 1988, pp. 195211.