Nonlinear numerical methods and rational approximation

edited by Annie Cuyt


  • Pade approximation and Rational interpolation.- Integral approximants for functions of higher monodromic dimension.- Asymptotics of Hermite-Pade 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 Pade approximants, rational Chebyshev approximants and poles of functions.- On the use of the Caratheodory-Fejer method for investigating'1/9' and similar constants.- Multidimensional and Multivariate problems.- Simultaneous rational approximation to some q-hypergeometric functions.- Minimal Pade-sense matrix approximations around s = 0 and s = ?.- (Pade)y of (Pade)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 Pade 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 Pade approximants to multireggeon processes.

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書名 Nonlinear numerical methods and rational approximation
著作者等 Conference on "Nonlinear Numerical Methods and Rational Approximation"
Cuyt, Annie
シリーズ名 Mathematics and its applications
出版元 D.Reidel
刊行年月 c1988
ページ数 xviii, 458 p.
大きさ 25 cm
ISBN 9027726698
NCID BA03459690
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言語 英語
出版国 オランダ