Fei Xue
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Current Position
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Research
Assistant Professor
College
of Science and Technology
Supervisor: Professor Daniel B. Szyld
Contact Information
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544 Wachman Hall
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Phone:
(215) 204-7588
Fax: (215) 204-6433
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Email:
fxue _at_ temple.edu
Research Interests
Numerical linear algebra, sparse matrix computations,
scientific computing
Education
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Ph.D.,
University of Maryland,
College Park, 2009.
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M.E., Southeast University
(China), 2004.
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B.E., Southeast University
(China), 2001.
Research
Grants
- National Science Foundation (NSF) Research Grant
DMS-1115520,
Co-P.I. (P.I.: Daniel B. Szyld), “Eigenvalues problems, Krylov
subspace methods, and subspace recycling”, Division of
Mathematical Sciences, Program in Computational Mathematics, August 2011--July
2014.
Publications
- Journal papers (submitted and published)
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Mark Embree, Josef A. Sifuentes, Kirk
M. Soodhalter, Daniel B. Szyld,
and Fei Xue,
On short-term recurrence Krylov subspace methods for nearly-Hermitian
matrices,
Research
Report 11-10-10, Department of Mathematics, submitted (preprint).
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Daniel
B. Szyld and Fei Xue,
Local convergence analysis of several
inexact Newton-type algorithms for general nonlinear eigenvalue
problems,
Submitted
manuscript available upon request.
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Fei
Xue and Howard C. Elman,
Fast inexact implicitly restarted Arnoldi method for generalized eigenvalue
problems with spectral transformation,
Submitted
in revised form to SIAM Journal on Matrix Analysis and Applications (preprint)
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Daniel
B. Szyld and Fei Xue,
Efficient preconditioned inner solves for
inexact Rayleigh quotient iteration and their connections to the single-vector
Jacobi-Davidson method (pdf),
SIAM Journal on Matrix Analysis and Applications, Vol. 32 (2011), pp. 993—1018.
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Fei
Xue and Howard C. Elman,
Fast inexact subspace iteration for
generalized eigenvalue problems with spectral transformation (pdf),
Linear Algebra and Its
Applications, Vol. 435, No. 3 (2011), pp. 601--622.
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Fei
Xue and Howard C. Elman,
Convergence analysis of iterative solvers
in inexact Rayleigh quotient iteration (pdf),
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In
preparation
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Error bounds, perturbation analysis and
subspace projections for invariant pairs of general nonlinear eigenvalue problems, with Daniel B. Szyld.
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Inexact augmented Krylov
subspace methods for sequences of linear systems, with Daniel B. Szyld.
- Other publications
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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,
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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
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Spring
2012: Introduction to Numerical Analysis (Mathematics 5043, graduate level),
scheduled
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Fall
2011: Calculus I (Mathematics 1041, Sections 013 and 019) (webpage)
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Spring
2011: Calculus III (Mathematics 2043, Section 001) (webpage)
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Fall
2010: Linear Algebra (Mathematics 2101, Section 001) (webpage)
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Fall
2009: Calculus III (Mathematics 2043, Section 001) (webpage)
Software
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MATLAB
version of the implicitly restarted Arnoldi (IRA) method (download) and the
Jacobi-Davidson (JDQZ) method (download) for non-Hermitian matrices
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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