Abstract
In addition to the accuracy-through-order requirement that the defining polynomials not all be divisible by z, as required for Padé and integral approximants, there is the further problem of deficiency as pointed out by McInnes. I prove a finite bound on the deficiency and also prove the accuracy-through-order property for algebraic approximants. In addition I prove the equivalence property for algebraic approximants.
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References
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© 1994 Springer Science+Business Media Dordrecht
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Baker, G.A. (1994). The Accuracy-Through-Order and the Equivalence Properties in the Algebraic Approximant *. In: Cuyt, A. (eds) Nonlinear Numerical Methods and Rational Approximation II. Mathematics and Its Applications, vol 296. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0970-3_24
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DOI: https://doi.org/10.1007/978-94-011-0970-3_24
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4420-2
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