On the Localization of Zeros and Poles of Chebyshev-Pade Approximants from Perturbed Functions

• Type: Article in International Conference Proceedings Book
• Date: 2014

Authors

Joao Carrilho de Matos (Author) Other; Jose Matos (Author) Other; Maria Joao Rodrigues (Author) FCUP

Conference proceedings International

Title: COMPUTATIONAL SCIENCE AND ITS APPLICATIONS, PART VI - ICCSA 2014

Pages: 481-492

14th International Conference on Computational Science and Its Applications (ICCSA)

Guimaraes, PORTUGAL, JUN 30-JUL 03, 2014

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

Other information

Authenticus ID: P-009-Q05

DOI: 10.1007/978-3-319-09153-2_36

Abstract (EN): We present some numerical results about the localization of zeros and poles of Chebyshev-Pade approximants from functions perturbed with random series. These results are a natural generalization of the Froissart's numerical experiments with power series. Our results suggest that the Froissart doublets of Chebyshev-Pade approximants are located, with probability one, on the Joukowski transform image of the natural boundary of the random power series.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12