- Abstract:
-
A common way of finding the poles of a meromorphic function f in a domain, where an explicit expression of f is unknown but f can be evaluated at any given z, is to interpolate f by a rational function pq such that r(γi)=f(γi) at prescribed sample points {γi}Li=1 , and then find the roots of q. This is a two-step process and the type of the rational interpolant needs to be specified by the user. Many other algorithms for polefinding and rational interpolation (or least-squares fitting...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's Version
- Files:
-
-
(pdf, 1.8mb)
-
- Publisher copy:
- 10.1007/s00211-018-0948-4
-
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- Publisher:
- Springer Publisher's website
- Journal:
- Numerische Mathematik Journal website
- Volume:
- 139
- Issue:
- 3
- Pages:
- 633-682
- Publication date:
- 2018-02-21
- Acceptance date:
- 2018-01-14
- DOI:
- EISSN:
-
0945-3245
- ISSN:
-
0029-599X
- Pubs id:
-
pubs:993764
- URN:
-
uri:0508eab6-abc2-45f1-ac55-998a51da82fb
- UUID:
-
uuid:0508eab6-abc2-45f1-ac55-998a51da82fb
- Local pid:
- pubs:993764
- Language:
- English
- Keywords:
- Copyright holder:
- Ito and Nakatsukasa
- Copyright date:
- 2018
- Notes:
- © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Journal article
Stable polefinding and rational least-squares fitting via eigenvalues
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