Fei Xue
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Current Position
o Research Assistant Professor
College
of Science and Technology
Supervisor: Professor
Daniel B. Szyld
Contact Information
o 514 Wachman Hall
o Phone: (215) 204-8607
Fax: (215) 204-6433
o Email: fxue _at_
temple.edu
Research Interests
Numerical linear algebra, sparse matrix computations,
scientific computing
Education
o Ph.D., University of Maryland, College Park,
2009.
o M.E., Southeast University (China), 2004.
o B.E., Southeast University (China), 2001.
Publications
- Journal papers
§ Fei Xue and Howard Elman,
Fast inexact implicitly restarted Arnoldi
method for generalized eigenvalue problems with spectral transformation, in preparation
§
Fei
Xue and Howard Elman,
Fast inexact subspace iteration for
generalized eigenvalue problems with spectral transformation, submitted
§
Fei
Xue and Howard Elman,
Convergence analysis of iterative solvers
in inexact Rayleigh quotient iteration (pdf),
- Other publications
§
Numerical solution to eigenvalue problems
with spectral transformations
(Ph.D thesis) (pdf)
Thesis Advisor: Professor Howard C. Elman
Applied Mathematics,
Statistics and Scientific computation (AMSC)
program,
§
Computing the dynamics of large
multi-particle systems using Fast Multipole Method
(FMM) with multi-scale time stepping (unpublished manuscript) (pdf)
AMSC 663/664 Final report,
Teaching
o
Fall
2009: Calculus III (Mathematics 2043, Section 001) (webpage)
Software
o MATLAB version of the implicitly restarted
Arnoldi (IRA) method and the Jacobi-Davidson (JDQZ) method for non-Hermitian matrices
o The following work completed in summer 2008
has been put in MATLAB R
Functionality extension of eigs to solve generalized eigenvalue problem Av = λBv with Hermitian
indefinite or non-Hermitian B;
Improvement of
gmres in memory efficiency and robustness;
Improvement of
pcg,
minres, symmlq, bicg and bicgstab in
CPU efficiency;
Development of new iterative solvers tfqmr and bicgstabl