Computation of the c-Table Related to the Padé Approximation
Joint Authors
Jedynak, Radosław
Gilewicz, Jacek
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-24
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The aim of this paper is to give a complete and practical method for numerical application of Padé approximation with the help of the c-table analysis.
We present an exhaustive list of useful formulas to compute a c-table related to a formal power series C(z)=∑n=0∞cnzn.
Some of these formulas are not widely known, because they were presented in publications of limited circulation.
Some others were never published, as three symmetric Paszkowski-like formulas to overcome the blocks in a c-table or an extension of local error formula for Padé approximants in the blocks.
All formulas are given in two versions: in terms of Toeplitz determinants (c-table) and in the version of Hankel determinants (c-table).
We compare the theory with numerical observations by reproducing different computational aspects of software producing the c-tables with the presence of blocks and their evolution following the evolution of computer environment.
American Psychological Association (APA)
Jedynak, Radosław& Gilewicz, Jacek. 2013. Computation of the c-Table Related to the Padé Approximation. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-452799
Modern Language Association (MLA)
Jedynak, Radosław& Gilewicz, Jacek. Computation of the c-Table Related to the Padé Approximation. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-452799
American Medical Association (AMA)
Jedynak, Radosław& Gilewicz, Jacek. Computation of the c-Table Related to the Padé Approximation. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-452799
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452799