Orthogonal polynomial approach to estimation of poles of rational functions from data on open curves
DOI10.1016/j.cam.2014.05.028zbMath1310.65030OpenAlexW1990387021MaRDI QIDQ2510018
Masaaki Sugihara, Kensuke Aishima, Takaaki Nara, Shinji Ito
Publication date: 31 July 2014
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2014.05.028
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Polynomials and rational functions of one complex variable (30C10) Real rational functions (26C15)
Cites Work
- On rational approximation methods for inverse source problems
- Complex analysis 2. Riemann surfaces, several complex variables, Abelian functions, higher modular functions
- Numerical recovery of location and residue of poles of meromorphic functions
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- A perturbation result for generalized eigenvalue problems and its application to error estimation in a quadrature method for computing zeros of analytic functions.
- A direct impedance tomography algorithm for locating small inhomogeneities
- An error analysis of two related quadrature methods for computing zeros of analytic functions.
- Reconstruction of small inhomogeneities from boundary measurements
- The interpolation formula for a class of meromorphic functions
- On locating clusters of zeros of analytic functions
- Line segment crack recovery from incomplete boundary data
- Direct localization of poles of a meromorphic function from measurements on an incomplete boundary
- How can the meromorphic approximation help to solve some 2D inverse problems for the Laplacian?
- A projective method for an inverse source problem of the Poisson equation
- An inverse source problem in potential analysis
- Recovery of pointwise sources or small inclusions in 2D domains and rational approximation
- Stabilized Numerical Analytic Prolongation with Poles
- Identification of simple poles via boundary measurements and an application of EIT
This page was built for publication: Orthogonal polynomial approach to estimation of poles of rational functions from data on open curves