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TEACHING
Fall
07
( MA 622 )
RESEARCH
Software
PUBLICATION
BRIEF CV
LINKS
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YE, QIANG
Hello, welcome! I'm a faculty member with the Group of Numerical Analysis and
Scientific Computing, which studies
approximate solutions of mathematical problems and finite precision
computations. My current research work is focused on the following
computational problems for large scale matrices.
- Preocnditioned
Krylov subspace methods for computing eigenvalues of large matrices. Developing Krylov subspace methods that can be accelerated
efficiently by some equivalent transformations (preconditioning) is a
grand challenge in the eigenvalue
computations.
- Finite precision analysis of Krylov subspace
methods for solving linear systems A x = b. Many
elegant Krylov subspace methods have been
developed in the last decade for nonsymmetric
linear systems, but they may become unstable in finite precision. Our
goal is to understand the effect of rounding errors in these algorithms
so as to develop methods to improve their stability.
- High relative accuracy
computations and applications. We study when and how some tiny
quantities (e.g. tiny eigenvalues) are
determined and hence can be computed to high relative accuracy. Applications
in stochastic models are part of our study.
My research interest also includes some
other problems in linear algebra, operator theory and engineering
applications. See my RESEARCH page
for details.
I serve as an Associate Editor for
My research is supported in part
by NSF Grants DMS-0411502.
Return to: Numerical Analysis and
Scientific Computing Group
Department of Mathematics
University of Kentucky
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