Yuanzhe Xi


MATH 435, Department of Mathematics
Purdue University
Department of Mathematics
West Lafayette, IN 47907


 

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Education

 Purdue University West Lafayette, USA
  Ph.D. Applied Mathematics (in progress) 2009 - present
  - Advisor: Prof. Jianlin Xia
 Dalian University of TechnologyDalian, China
  B.S Computational Mathematics2005 - 2009

 

Research Interests
Scientific computing
Numerical linear algebra
Sparse and structured matrix algorithms
Randomized Algorithms
Preconditioning techniques

 

Publications
Preprints
Superfast and stable structured solvers for Toeplitz least squares via randomized sampling, with J. Xia,
S. Cauley, and V. Balakrishnan, under revision, SIAM J. Matrix Anal. Appl., 2012.
A fast structured eigensolver for symmetric Toeplitz matrices and more via adaptive randomized sampling,
with J.Xia, and R. Chan, submitted, SIAM J. Matrix Anal. Appl., 2013.
Superfast structured inversion for large sparse matrices, with J. Xia, S. Cauley, and V. Balakrishnan, preprint.
Fast structured solvers for finding the eigenvalues of large structured matrices, with J.Xia, preprint.

Referred Journal Papers
J. Xia, Y. Xi, and M. Gu, A superfast structured solver for Toeplitz linear systems via randomized sampling,
SIAM J. Matrix Anal. Appl., 33 (2012), pp. 837-858. (PDF. Journal article link)

 

Invited Presentations
An arbitray inversion algorithm for large sparse matrices
   - SIAM Annual Meeting 2013, San Diego, USA (July 2013).
Superfast algorithms for Toeplitz matrices via randomized sampling
   - New Frontiers in Numerical Analysis and Scientific Computing - Kent State University, Kent, USA (April 2013).
Superfast structured inversion for extracting diagonal entries
   - Geo-Mathematical Imaging Group Project Review and Advisory Board Meeting - Chicago, USA (April 2013).
A fast eigensolver for discretized PDEs from irregular mesh
   - Geo-Mathematical Imaging Group Project Review and Advisory Board Meeting - Purdue University, West Lafayette, USA (April 2012).
Superfast algorithms for Toeplitz problems
   - 4th SIAM Annual Computational Science and Engineering Student Conference (CSESC) - Purdue University, West Lafayette, USA (April 2012).
Introduction to matrix computation
   - Student colloquium - Purdue University, West Lafayette, USA (Dec 2011).
A superfast and stable solver for Toeplitz linear systems via randomized sampling
   - Midwest Numerical Analysis Day - Purdue University, West Lafayette, USA (May 2011).
A superfast structured solver for Toeplitz linear Systems via randomized sampling
   - 3th SIAM Annual Computational Science and Engineering Student Conference (CSESC) - Purdue University, West Lafayette, USA (April 2011).

 

Honors
Third place for paper competition at CSESC-Purdue University, West Lafayette, USA. April 2012

 

Professional Experience

 Research Assistant(Purdue University)
  - Working on fast algorithms for structured and sparse matrices Spring 2012- present
 Numerical Analysis (MA514)(Purdue University)
  - Teaching Assistant Fall 2011
 Plane Analytic Geometry And Calculus I (MA154)(Purdue University)
  - Course Instructor Spring 2011
 Multivariate Calculus (MA161)(Purdue University)
  - Recitation lecturer Fall 2010
 Multivariate Calculus (MA261)(Purdue University)
  - Recitation lecturer Spring 2010
 Multivariate Calculus (MA261)(Purdue University)
  - Recitation lecturer Fall 2009

 

Reviewer for Journals
Parallel Computing
SIAM Journal on Scientific Computing

 

Conference Attended
13th Workshop on the DOE Advanced Computational Software (ACTS) Collection, Berkeley, August 14-17, 2012.
The International Conference on the Frontier of Computational and Applied Mathematics: Tony Chan's 60th Birthday Conference, UCLA, June 8-10, 2012.
Challenges in Geometry, Analysis, and Computation: High-Dimensional Synthesis Conference at Yale University, June 4-6, 2012.

 

 

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The content of this page and any opinions expressed therein are solely those of Yuanzhe Xi.

last modified: 04/01/2013