Rate of system pole detection using Hermite-Padé approximants to polynomial expansions
Issued Date
2026-01-01
Resource Type
eISSN
20356803
Scopus ID
2-s2.0-105035534154
Journal Title
Dolomites Research Notes on Approximation
Volume
19
Issue
1
Start Page
116
End Page
126
Rights Holder(s)
SCOPUS
Bibliographic Citation
Dolomites Research Notes on Approximation Vol.19 No.1 (2026) , 116-126
Suggested Citation
Supuang A., Bosuwan N. Rate of system pole detection using Hermite-Padé approximants to polynomial expansions. Dolomites Research Notes on Approximation Vol.19 No.1 (2026) , 116-126. 126. doi:10.25430/pupj-DRNA-2026-1-10 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/116251
Title
Rate of system pole detection using Hermite-Padé approximants to polynomial expansions
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Corresponding Author(s)
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Abstract
In this paper, we study the rate at which system poles can be detected via Hermite-Padé approximants constructed from polynomial expansions based on orthogonal and Faber polynomials over a compact set E. Our analysis focuses on certain indicators introduced by Gonchar [13] which quantify the detection of poles by rows of the Padé table. We extend Gonchar’s indicator formulas to our generalized Hermite-Padé approximants and explicitly compute the values of these indicators for the system poles of the vector of approximated functions.