Zhonggang
Zeng Bernard J. Brommel Distinguished
Research Professor
Office: 218D,
Office hours: By appointment (on sabbatical leave until Fall 2010)
Teaching
material [Math
203] [Math 343][Math
475] and
[Previous
courses]
Research projects:
supported
in part by National Science Foundation under
Grant DMS-0715127
(Any opinions, findings, and conclusions or recommendations expressed in
this material are those of the author(s)
and do not necessarily reflect the views of the National Science Foundation)
New release:
-- ApaTools:
a software
toolbox for approximate polynomial algebra
Maple
version:
ApaTools
and Matlab version:
Apalab
Selected publications:
Computing multiple roots of inexact
polynomials, Mathematics of Computation, 74(2005),
pp 869 - 903
This work won the Distinguished Paper Award at ACM ISSAC '03
Conference
The
citation:
Algorithm 835:
MultRoot -- A Matlab
package for computing polynomial roots and
multiplicities,
ACM Transaction
on Mathematical Software, 30, pp 218-315, 2004 [Software
Package]
Multiple zeros of nonlinear systems preprint
Regularization and matrix computation in numerical polynomial algebra to appear
A rank-revealing method with updating,
downdating and applications.
Part I &
Part II
SIAM Journal on Matrix Analysis and Applications
The approximate GCD of inexact polynomials Part I & Part II
A numerical elimination method for polynomial computations Theoretical Computer Science
The closedness subspace method for computing the multiplicity structure of a polynomial system
Presentations (click the image to open the file, then keep clicking to see the animation)