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  1. Path: sparky!uunet!charon.amdahl.com!pacbell.com!sgiblab!zaphod.mps.ohio-state.edu!sol.ctr.columbia.edu!news.columbia.edu!psinntp!psinntp!kepler1!andrew
  2. From: andrew@rentec.com (Andrew Mullhaupt)
  3. Newsgroups: sci.math
  4. Subject: Orthogonal Polynomials
  5. Keywords: Multivariate Orthogonal Polynomials Jacobi Matrix
  6. Message-ID: <1314@kepler1.rentec.com>
  7. Date: 4 Nov 92 23:42:27 GMT
  8. Organization: Renaissance Technologies Corp., Setuket, NY
  9. Lines: 7
  10.  
  11. The recurrence relation for univariate orthogonal polynomials can be
  12. written as a tridiagonal symmetric (i.e. Jacobi) matrix eigen-problem.
  13.  
  14. What (if any) is the analogous result for multivariate polynomials?
  15.  
  16. Later,
  17. Andrew Mullhaupt
  18.