Spurious poles in Padé approximation
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Publication:1298590
DOI10.1016/S0377-0427(98)00180-0zbMath0928.41011MaRDI QIDQ1298590
Publication date: 3 January 2000
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Approximation in the complex plane (30E10) Padé approximation (41A21) Rate of convergence, degree of approximation (41A25)
Related Items (23)
Comparison between Borel-Padé summation and factorial series, as time integration methods ⋮ Exact interpolation, spurious poles, and uniform convergence of multipoint Padé approximants ⋮ Numerical analytic continuation ⋮ Quadratic Hermite--Padé polynomials associated with the exponential function. ⋮ On the phenomenon of spurious interpolation of elliptic functions by diagonal Padé approximants ⋮ Numerical conformal mapping with rational functions ⋮ Representation of conformal maps by rational functions ⋮ Do orthogonal polynomials dream of symmetric curves? ⋮ On uniform convergence of diagonal multipoint Padé approximants for entire functions ⋮ Nonstandard Gaussian quadrature formulae based on operator values ⋮ Complex Jacobi matrices ⋮ Distribution of interpolation points of maximally convergent multipoint Padé approximants ⋮ Spectral theory of the \(G\)-symmetric tridiagonal matrices related to Stahl's counterexample ⋮ Parametric Poincaré-Perron theorem with applications ⋮ The AAA Algorithm for Rational Approximation ⋮ On rational approximation of algebraic functions ⋮ Orthogonal polynomials and Gaussian quadrature rules related to oscillatory weight functions ⋮ Nuttall's theorem with analytic weights on algebraic S-contours ⋮ Algebraic properties of robust Padé approximants ⋮ Approximating the solution of integro-differential problems via the spectral tau method with filtering ⋮ ADM-Padé technique for the nonlinear lattice equations ⋮ An extension of the `1/9'-problem ⋮ Convergence analysis of the summation of the factorially divergent Euler series by Padé approximants and the delta transformation
Cites Work
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- Asymptotics for orthogonal polynomials
- The convergence of Padé approximants of meromorphic functions
- Padé approximants and convergence in capacity
- On the relation between measures defining the Stieltjes and the inverted Stieltjes functions
- EQUILIBRIUM DISTRIBUTIONS AND DEGREE OF RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
- ON THE CONVERGENCE OF PADÉ APPROXIMANTS IN CLASSES OF HOLOMORPHlC FUNCTIONS
- On convergence in capacity
- A LOCAL CONDITION OF SINGLE-VALUEDNESS OF ANALYTIC FUNCTIONS
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