SUMMER SCHOOL, OXFORD, UK:  SEPT 17-21 2007       
 
              NEW METHODS FOR SOLVING POLYNOMIAL EQUATIONS AND
              APPROXIMATE GREATEST COMMON DIVISOR COMPUTATIONS
  
                 http://www.dcs.shef.ac.uk/ml/summer_school/
 
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                  ** EARLY DISCOUNT DEADLINE: 31 MAY 2007 **
 
The Summer School will consist of lectures and laboratory classes on robust methods for computing approximate greatest common divisors and solving polynomial equations of high degree that contain multiple roots. The theory will be presented for power (monomial) and Bernstein basis polynomials, and the Summer School is therefore of interest to researchers in numerical analysis, systems theory, signal processing, control, geometric modelling, computer aided design, computer graphics and robotics.
 
The lectures will include the following topics:
 
(1) Reasons for the failure of traditional methods to compute multiple roots of polynomials
(2) The computation of approximate GCDs
(3) Structured and unstructured condition numbers of polynomials
(4) Resultant matrices, subresultants and computational algebraic geometry
(5) Linear and non-linear structured matrix methods for the computation of approximate GCDs, and their role in solving polynomial equations
(6) Non-linear least squares
 
Invited speakers:
 
(1) Rob Corless, University of Western Ontario, Canada
(2) Gershon Elber, The Technion, Haifa, Israel
(3) Gene Golub, Stanford University, USA
(4) Zhonggang Zeng, Northeastern Illinois University, USA
 
For more details, please contact the organiser:
 
Joab Winkler
Department of Computer Science
The University of Sheffield
England
 
E-mail: j.winkler@dcs.shef.ac.uk