Bubalus arnee  
  NC Group -- Summer 2002
 
 



  People Email Schedule
  Prof. Bill Helton  [ helton@math.ucsd.edu ]   Away July 9-14,   Aug 11 plus and minus 7  
  Jeff Ovall  [ jovall@math.ucsd.edu ]   Away July 3-15
  Tony Shaheen  [ ashaheen@math.ucsd.edu ]   Away July 31 - Aug 4
  Adrian Lim  [ plim@math.ucsd.edu ]   Away June 18 - July 1
  Brett Kotschwar  [ bkotschw@math.ucsd.edu ]   Away July 29 - 30  

 Project  Goals  Primary Workers  Status
 Heavy Convex, Matrix Convex functions, NCLMI representation    Bill  
 Simplifier/Pseudo-Inverses, Groebner Bases  Tony to give a talk?  Tony, Jeff  
 Proofreading   Annals paper, paper with Scott  Jeff  
 Random Matrix Generator  Find in MathSource or write  Tony done
 Degree 4 polynomial example  Need p(x,y) with zero set a lemniscate  Jeff done
 MMa CSP II Beta test  Identify bugs, check compatibility with NCAlgebra  Brett  
 Model Reduction Example  Example/Proof?  Brett  
 ConvexityRegion  Find examples of rational m-convex functions, compile bug report for Juan  Tony, Brett  
 NCAlgebra package management  Small changes, sundry bug fixes    

  Speculative Projects

  Readings

   A Positivestellensatz for Non-commutative Polynomials ]
   An NC Polynomial in symmetric pvariables that is matrix convex on any SID has degree 2 or less. ]
   Further Results on NC polynomials and Heavy Convexity ]
   Manipulating Matrix Inequalities Automatically ]
   [ Scads of Prof. Helton's papers ]

  Miscellania


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Last modified: Thu Jun 27 18:02:17 PDT 2002