Nonlinear Numerical Methods and Rational Approximation - A. Cuyt

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Sommaire:
Pad? approximation and Rational interpolation.- Integral approximants for functions of higher monodromic dimension.- Asymptotics of Hermite-Pad? 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 Pad? approximants, rational Chebyshev approximants and poles of functions.- On the use of the Carath?odory-F?jer method for investigating'1/9' and similar constants.- Multidimensional and Multivariate problems.- Simultaneous rational approximation to some q-hypergeometric functions.- Minimal Pad?-sense matrix approximations around s = 0 and s = ?.- (Pad?)y of (Pad?)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 Pad? 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 ?-methodapproximation.- Evaluation of Fermi-Dirac integral.- An application of operator Pad? approximants to multireggeon processes.