Laurent Series and their Pade Approximations

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indgår i serie OPERATOR THEORY ADVANCES AND APPLICATIONS


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Laurent Series and their Pade Approximations
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Format:
Bog, hardback
Udgivelsesdato:
01-01-1987
Sprog:
Engelsk
Udgave:
1987 ed..
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The Pade approximation problem is, roughly speaking, the local approximation of analytic or meromorphic functions by rational ones. It is known to be important to solve a large scale of problems in numerical analysis, linear system theory, stochastics and other fields. There exists a vast literature on the classical Pade problem. However, these papers mostly treat the problem for functions analytic at 0 or, in a purely algebraic sense, they treat the approximation of formal power series. For certain problems however, the Pade approximation problem for formal Laurent series, rather than for formal power series seems to be a more natural basis. In this monograph, the problem of Laurent-Pade approximation is central. In this problem a ratio of two Laurent polynomials in sought which approximates the two directions of the Laurent series simultaneously. As a side result the two-point Pade approximation problem can be solved. In that case, two series are approximated, one is a power series in z and the other is a power series in z-l. So we can approximate two, not necessarily different functions one at zero and the other at infinity.

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Udgivelsesdato:
01-01-1987
ISBN13:
9783764319403
Vægt:
695 g
Nummer i serien:
27
Format:
Hardback
Forfattere
Bibliotekernes beskrivelse The Pade approximation problem is, roughly speaking, the local approximation of analytic or meromorphic functions by rational ones. For certain problems however, the Pade approximation problem for formal Laurent series, rather than for formal power series seems to be a more natural basis. 1 Hardback XI, 276 p.

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