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Two-point Padé-type and Padé Approximants

In a non-commutative algebra

Polynomial And Rational Approximation

Part of the Lecture Notes in Mathematics book series (LNM,volume 1237)

Abstract

The Padé approximants can be deduced in the commutative case from the Padé type approximants in using the orthogonal polynomials (see [1] and [6]). The same method is used in the case of a non-commutative algebra in [2] and [3]. The case of two-point Padé approximants can be solved in a similar way, in particular in a non-commutative algebra.

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Bibliography

  1. BREZINSKI C. Padé-type approximant and general orthogonal polynomials. ISNM vol. 50, Birkhaüser Verlag, Basel, 1980.

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© 1987 Springer-Verlag

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Draux, A. (1987). Two-point Padé-type and Padé Approximants. In: Gilewicz, J., Pindor, M., Siemaszko, W. (eds) Rational Approximation and its Applications in Mathematics and Physics. Lecture Notes in Mathematics, vol 1237. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072454

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  • DOI: https://doi.org/10.1007/BFb0072454

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17212-3

  • Online ISBN: 978-3-540-47412-8

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