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On Generating Discrete Orthogonal Bivariate Polynomials  (Make Corrections)  
Marko Huhtanen, Rasmus Munk Larsen



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Abstract: In this paper we present an algorithm for recursively generating orthogonal bivariate polynomials on a discrete set S  R . For this purpose we employ commuting pairs of real symmetric matrices H;K 2 R to obtain, in a certain sense, a two dimensional Hermitian Lanczos method. The resulting algorithm relies on a recurrence having a slowly growing length. Practical implementation issues and applications are considered. The method can be generalized to compute orthogonal polynomials... (Update)

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BibTeX entry:   (Update)

@misc{ huhtanen-generating,
  author = "Marko Huhtanen and Rasmus Munk Larsen",
  title = "On Generating Discrete Orthogonal Bivariate Polynomials",
  url = "citeseer.ist.psu.edu/685514.html" }
Citations (may not include all citations):
708   Cambridge University Press (context) - Horn, Johnson et al. - 1985
441   The Symmetric Eigenvalue Problem (context) - Parlett - 1980
167   The principle of minimized iterations in the solution of the.. (context) - Arnoldi - 1951
117   Applied Numerical Linear Algebra (context) - Demmel - 1997
66   Reorthogonalization and Stable Algorithms Updating the Gram-.. (context) - Daniel, Gragg et al. - 1976
65   Springer-Verlag (context) - Cox, Little et al. - 1996
17   Orthogonal Polynomials: Applications and Computations (context) - Gautschi - 1996
14   Generation and use of orthogonal polynomials for data- tting.. (context) - Forsythe - 1957
11   Shape preserving interpolation by parametrically de ned curv.. (context) - Goodman, Unsworth - 1988
9   Computational aspects of polynomial interpolation in several.. (context) - De Boor, Ron - 1992
9   Polynomial interpolation of minimal degree - Sauer - 1997
5   On multivariate orthogonal polynomials (context) - Xu - 1993
4   Algorithm 686: FORTRAN Subroutines for Updating the QR decom.. (context) - Reichel, Gragg - 1990
4   Polynomial interpolation in several variables - De Boor - 1994
3   the calculation of Jacobi matrices (context) - Kautsky, Golub - 1983
3   Orthogonal polynomials in two variables (context) - Suetin - 1999
2   Orthogonal polyanalytic polynomials and normal matrices - Huhtanen
1   Orthogonal polynomials in several variables (context) - Weisfeld - 1959
1   Exclusion and inclusion regions for the eigenvalues of a nor.. - Huhtanen, Larsen - 2001
1   Strebel Least-squares tting of circles and ellipses (context) - Gander, Golub - 1994
1   On summation formulas due to Plana (context) - Dahlquist - 1997

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