Author(s): J. M. Anderson (auth.), Peter Russell Graves-Morris, Edward B. Saff, Richard S. Varga (eds.)
Series: Lecture Notes in Mathematics 1105
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1984
Language: English
Pages: 530
City: Berlin; New York
Tags: Numerical Analysis
The faber operator....Pages 1-10
Survey on recent advances in inverse problems of Padé approximation theory....Pages 11-26
Some properties and applications of Chebyshev polynomial and rational approximation....Pages 27-48
Polynomial, sinc and rational function methods for approximating analytic functions....Pages 49-72
Rational approximation of fractals....Pages 73-88
On rational approximation of the exponential and the square root function....Pages 89-99
Padé-type approximants and linear functional transformations....Pages 100-108
Continued fraction solution of the general Riccati equation....Pages 109-116
Order stars, contractivity and a pick-type theorem....Pages 117-124
Bernstein and markov inequalities for constrained polynomials....Pages 125-135
Multivariate interpolation....Pages 136-144
The strong uniqueness constant in complex approximation....Pages 145-149
On the minimum moduli of normalized polynomials....Pages 150-159
On the block structure of the Laurent-Padé table....Pages 160-169
Square blocks and equioscillation in the Padé, walsh, and cf tables....Pages 170-181
Properties of Padé approximants to stieltjes series and systems theory....Pages 182-188
Degree of rational approximation in digital filter realization....Pages 189-209
Applications of schur fractions to digital filtering and signal processing....Pages 210-226
A de montessus theorem for vector valued rational interpolants....Pages 227-242
On the convergence of limit periodic continued fractions K(a n /1), where a 1 → −1/4....Pages 243-248
On the uniform approximation of holomorphic functions on convex sets by means of interpolation polynomials....Pages 249-255
On equiconvergence of certain sequences of rational interpolants....Pages 256-271
Convergence and divergence of multipoint padé approximants of meromorphic functions....Pages 272-284
Approximate analytic continuation beyond the first Riemann sheet....Pages 285-294
Critical exponents for the general spin ising model using the rational approximation method....Pages 295-312
Partial differential approximants and the elucidation of multisingularities....Pages 313-330
Zeros of polynomials generated by 4-term recurrence relations....Pages 331-345
A lower bound for the number of zeros of a function analytic in a disk....Pages 346-353
Location of poles of Padé approximants to entire functions....Pages 354-363
Approximations to e x arising in the numerical analysis of volterra equations....Pages 364-375
Error evaluation for cubic bessel interpolation....Pages 376-382
Extended numerical computations on the “1/9” conjecture in rational approximation theory....Pages 383-411
Computing with the faber transform....Pages 412-418
A-stable methods for second order differential systems and their relation to Padé approximants....Pages 419-430
Shape preserving rational spline interpolation....Pages 431-441
An application of gaussian elimination to interpolation by generalized rational functions....Pages 442-452
Problems in numerical chebyshev approximation by interpolating rationals....Pages 453-465
Exponential fitting of restricted rational approximations to the exponential function....Pages 466-476
Quadrature formulae and moment problems....Pages 477-488
Discrete ℓ p approximation by rational functions....Pages 489-501
What is beyond Szegö's theory of orthogonal polynomials?....Pages 502-510
Polynomials with laguerre weights in L p ....Pages 511-523
Orthogonal polynomials for general measures-I....Pages 524-528
