LAURENT SERIES AND THEIR PADE APPROXIMATIONS by A. Bultheel ( 9783764319403 )

Item Details

Title:

LAURENT SERIES AND THEIR PADE APPROXIMATIONS

By:

Format:

Hardback

List price:	£72.00
We believe that this item is permanently unavailable, and so we cannot source it.

ISBN 10:

3764319402

ISBN 13:

9783764319403

Publisher:

BIRKHAUSER VERLAG AG

Pub. date:

1 January, 1987

Edition:

1987 ed.

Series:

Operator Theory: Advances and Applications 27

Pages:

276

Synopsis:

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.

Illustrations:

XI, 276 p.

Publication:

Switzerland

Imprint:

Birkhauser Verlag AG

Returns:

Returnable

Some other items by this author:

BIRTH OF NUMERICAL ANALYSIS, THE (HB)

LAURENT SERIES AND THEIR PADE APPROXIMATIONS (PB)

LINEAR ALGEBRA, RATIONAL APPROXIMATION AND ORTHOGONAL POLYNOMIALS (HB)