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Nonlinear Numerical Methods and Rational Approximation

Author: Annie Cuyt
Publisher: Dordrecht : Springer Netherlands, 1988.
Series: Mathematics and Its Applications ;, 43.
Edition/Format:   eBook : Bibliographic data : EnglishView all editions and formats
Summary:
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G.K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu!ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Bibliographic data, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Annie Cuyt
ISBN: 9789400929012 9400929013 9789401078078 9401078076
OCLC Number: 840305055
Description: 1 online resource (480 pages).
Contents: Padé approximation and Rational interpolation --
Integral approximants for functions of higher monodromic dimension --
Asymptotics of Hermite-Padé Polynomials and related convergence results --
Rational approximation --
On the behavior of zeros and poles of best uniform polynomial and rational approximants --
Once again: the Adamjan-Arov-Krein approximation theory --
Diagonal Padé approximants, rational Chebyshev approximants and poles of functions --
On the use of the Carathéodory-Féjer method for investigating'1/9' and similar constants --
Multidimensional and Multivariate problems --
Simultaneous rational approximation to some q-hypergeometric functions --
Minimal Padé-sense matrix approximations around s = 0 and s =? --
(Padé)y of (Padé)x approximants of F(x, y) --
Different techniques for the construction of multivariate rational interpolants --
Rational approximants of hypergeometric series in?n --
Orthogonal polynomials and the Moment problem --
Some orthogonal systems of p+1Fp-type Laurent polynomials --
The moment problem on equipotential curves --
Difference equations, continued fractions, Jacobi matrices and orthogonal polynomials --
Multipoint Padé approximation and orthogonal rational functions --
L-Polynomials orthogonal on the unit circle --
Continued fractions --
Schur's algorithm extended and Schur continued fractions --
Some recent results in the analytic theory of continued fractions --
Best a posteriori truncation error estimates for continued fractions if (an/1) with twin element regions --
Convergence acceleration for Miller's algorithm --
Convergence acceleration --
A new approach to convergence acceleration methods --
Applications --
General T-fraction solutions to Riccati differential equations --
A simple alternative principle for rational? --
method approximation --
Evaluation of Fermi-Dirac integral --
An application of operator Padé approximants to multireggeon processes.
Series Title: Mathematics and Its Applications ;, 43.
Responsibility: edited by Annie Cuyt.

Abstract:

Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical  Read more...

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