Graduate Students
- Yun Guan
- Yun Guan
and Jan Verschelde:
PHClab: A MATLAB/Octave interface to PHCpack.
The abstract,
the poster,
and paper .
In IMA Volume 148: Software for Algebraic Geometry,
edited by Michael E. Stillman, Nobuki Takayama,
and Jan Verschelde. Pages 15-32, Springer-Verlag, 2008.
- Yun Guan
and Jan Verschelde:
Parallel Implementation of a Subsystem-by-Subsystem Solver.
The abstract
and manuscript.
In the proceedings of the 22th
High Performance Computing Symposium, Quebec City, 9-11 June 2008.
Pages 117-123. IEEE Computer Society, 2008.
- Danko Adrovic
- Danko Adrovic and Jan Verschelde:
Tropical Algebraic Geometry in Maple,
a preprocessing algorithm for finding common factors
to multivariate polynomials with approximate coefficients.
The abstract
and manuscript.
Alumni
- Yusong Wang:
Computing Dynamic Output Feedback Laws with Pieri Homotopies on a
Parallel Computer. PhD thesis, UIC, Spring 2005.
(first job: postdoc at Argonne National Laboratory)
- Jan Verschelde and
Yusong Wang:
Computing Dynamic Output Feedback Laws.
The Abstract
and gzipped postscript file,
of the revised manuscript in pdf format.
Data consists of
input and output.
IEEE Transactions on Automatic Control 49(8):1393-1397, 2004.
- Jan Verschelde and
Yusong Wang:
Computing Feedback Laws for Linear Systems
with a Parallel Pieri Homotopy.
The Abstract
and manuscript in pdf format.
Proceedings of the 2004 International Conference on
Parallel Processing Workshops. 15-18 August 2004. Montreal, Quebec,
Canada. High Performance Scientific and Engineering Computing.
Edited by Yuanyuan Yang. Pages 222-229, IEEE Computer Society, 2004.
- Jan Verschelde and
Yusong Wang:
Numerical Homotopy Algorithms for Satellite Trajectory Control by
Pole Placement.
The Abstract
and Revised gzipped postscript file,
manuscript in pdf format.
Proceedings of MTNS 2002, Mathematical Theory of
Networks and Systems (CDROM), Notre Dame, August 12-16, 2002.
- Ailing Zhao:
Newton's Method with Deflation for Isolated Singularities
of Polynomial Systems. PhD thesis, UIC, Summer 2007.
(first job at Wolfram Research)
- Anton Leykin,
Jan Verschelde, and
Ailing Zhao:
Higher-Order Deflation for Polynomial Systems
with Isolated Singular Solutions.
The Abstract,
manuscript in gzipped ps,
and in pdf format.
-
Anton Leykin,
Jan Verschelde, and
Ailing Zhao:
Evaluation of Jacobian Matrices for Newton's
Method with Deflation to approximate
Isolated Singular Solutions of Polynomial Systems.
The Abstract,
manuscript in gzipped ps,
and in pdf format.
In SNC 2005 Proceedings.
International Workshop on Symbolic-Numeric Computation.
Xi'an, China, July 19-21, 2005.
Edited by Dongming Wang and Lihong Zhi. Pages 19-28, 2005.
Revised manuscript in gzipped ps
and pdf format.
- Anton Leykin,
Jan Verschelde, and
Ailing Zhao:
Newton's method with deflation for isolated singularities
of polynomial systems.
The Abstract,
revised manuscript in gzipped ps,
and in pdf format.
Theoretical Computer Science 359(1-3): 111-122, 2006.
- Yan Zhuang:
Parallel Implementation of Polyhedral Homotopy Methods.
PhD thesis, UIC, Summer 2007. (first job at Wolfram Research)
- Jan Verschelde and
Yan Zhuang:
Parallel Implementation of the Polyhedral Homotopy Method.
The Abstract,
revised manuscript in gzipped ps,
and in pdf format.
Proceedings of the 2006 International Conference on Parallel Processing
Workshops. 14-18 Augustus 2006. Columbus, Ohio.
High Performance Scientific and Engineering Computing.
Edited by Timothy Mark Pinkston and Fusun Ozguner.
Pages 481-488, IEEE Computer Society, 2006.
- Anton Leykin,
Jan Verschelde, and
Yan Zhuang:
Parallel Homotopy Algorithms to Solve Polynomial Systems.
The Abstract,
manuscript in gzipped ps,
and in pdf format.
Proceedings of
ICMS 2006,
LNCS 4151, edited by Andrew Iglesias and Nobuki Takayama.
Pages 225-234, Springer-Verlag, 2006.
- Kathy Piret:
Computing critical points of polynomial systems using PHCpack and Python.
PhD Thesis, UIC, Summer 2008. (first job at Harold Washington College)