My research interests are in the area of scientific
computing, with particular emphasis on numerical linear algebra
and its applications. One basic theme is the design, analysis,
and implementation of effective computer algorithms, including
general purpose algorithms and algorithms for specific applied
areas such as estimation theory, statistics, navigation, communications,
signal processing etc. Another basic theme is the sensitivity
analysis: given the mathematical formulation of a problem, to
show what effects changes in the data (for example caused by finite
precision computation, or uncertainty in the data) will have on
the solution.
Currently I am mainly interested in
parameter estimation methods such as least squares, total least squares, integer
least squares, robust estimation, and partially linear model estimation etc,
and as well as their applications in communications, signal processing and
the global navigation
satellite systems.
