Uniqueness of Padé approximants from series of orthogonal polynomials
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- by Avram Sidi PDF
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Abstract:
It is proved that whenever a nonlinear Padé approximant, derived from a series of orthogonal polynomials, exists, it is unique.References
- E. W. Cheney, Introduction to approximation theory, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0222517
- J. Fleischer, Nonlinear Padé approximants for Legendre series, J. Mathematical Phys. 14 (1973), 246–248. MR 322230, DOI 10.1063/1.1666303
- C. W. Clenshaw and K. Lord, Rational approximations from Chebyshev series, Studies in numerical analysis (papers in honour of Cornelius Lanczos on the occasion of his 80th birthday), Academic Press, London, 1974, pp. 95–113. MR 0356444
- Avram Sidi, Computation of the Chebyshev-Padé table, J. Comput. Appl. Math. 1 (1975), no. 2, 69–71. MR 383700, DOI 10.1016/0771-050X(75)90022-4
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Math. Comp. 31 (1977), 738-739
- MSC: Primary 41A20
- DOI: https://doi.org/10.1090/S0025-5718-1977-0447901-1
- MathSciNet review: 0447901