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Real pole approximations to the exponential function (1991)

Orel, Bojan

Springer

BIT 31 (1991), S. 144-159

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ISSN: 1572-9125

Keywords: 41A20 ; 65L05 ; Rational approximation ; A-acceptability

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Rational approximations to the exponential function with real, not necessarily distinct poles are studied in this paper. The orthogonality relation is established in order to show that the zeros of the collocation polynomial of the corresponding Runge-Kutta method are all real, simple and positive. It is proven, that approximants with the smallest error constant are the Restricted Padé approximants of Nørsett. Some results concerning acceptability properties are given.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01952790

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