Intermediate Rows of the Walsh Array of Best Rational Approximants to Meromorphic Functions

نویسندگان

  • Xiaoyan Liu
  • E. B. Saff
  • J. L. Walsh
چکیده

We investigate the convergence of the rows (fixed denominator degree) of the Walsh array of best rational approximants to a meromorphic function. We give an explicit algorithm for determining when convergence is guaranteed and obtain rates of convergence.in the appropriate cases. This algorithm also provides the solution to an integer programming problem that arises in the study of Pade approximants.

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تاریخ انتشار 2003