Pad approximation and orthogonal polynomials Academic Article uri icon

abstract

  • By using a variational method, we study the structure of the Pad table for a formal power series. For series of Stieltjes, this method is employed to study the relations of the Pad approximants with orthogonal polynomials and gaussian quadrature formulas. Hence, we can study convergence, precise locations of poles and zeros, monotonicity, and so on, of these approximants. Our methods have nothing to do with determinant theory and the theory of continued fractions which were used extensively in the past.

published proceedings

  • Bulletin of the Australian Mathematical Society

author list (cited authors)

  • Allen, G. D., Chui, C. K., Madych, W. R., Narcowich, F. J., & Smith, P. W.

citation count

  • 6

complete list of authors

  • Allen, GD||Chui, CK||Madych, WR||Narcowich, FJ||Smith, PW

publication date

  • April 1974