An Introduction to Multiple Orthogonal Polynomials and Hermite-Padé Approximation

2021 ◽  
pp. 237-271
Author(s):  
Guillermo López-Lagomasino
Keyword(s):  
Orthogonal Polynomials ◽  
Padé Approximation ◽  
Pade Approximation ◽  
Multiple Orthogonal Polynomials

scholarly journals The Legacy of Peter Wynn

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1240
Author(s):  
Claude Brezinski ◽  
F. Alexander Norman ◽  
Michela Redivo-Zaglia
Keyword(s):  
Orthogonal Polynomials ◽  
Continued Fractions ◽  
Padé Approximation ◽  
Mathematical Community ◽  
Abstract Algebra ◽  
Moment Problems ◽  
Pade Approximation ◽  
Good Shape ◽  
New Research ◽  
First Time

After the death of Peter Wynn in December 2017, manuscript documents he left came to our knowledge. They concern continued fractions, rational (Padé) approximation, Thiele interpolation, orthogonal polynomials, moment problems, series, and abstract algebra. The purpose of this paper is to analyze them and to make them available to the mathematical community. Some of them are in quite good shape, almost finished, and ready to be published by anyone willing to check and complete them. Others are rough notes, and need to be reworked. Anyway, we think that these works are valuable additions to the literature on these topics and that they cannot be left unknown since they contain ideas that were never exploited. They can lead to new research and results. Two unpublished papers are also mentioned here for the first time.

Modeling of Rails Expressed using Pade Approximation Considering Frequency Dependent Effect

2017 ◽  
Vol 137 (2) ◽  
pp. 147-153
Author(s):  
Akinori Hori ◽  
Hiroki Tanaka ◽  
Yuichiro Hayakawa ◽  
Hiroshi Shida ◽  
Keiji Kawahara ◽  
...  
Keyword(s):  
Padé Approximation ◽  
Pade Approximation ◽  
Frequency Dependent ◽  
Dependent Effect

EIGENVALUE REANALYSIS OF STRUCTURES USING PERTURBATIONS AND PADÉ APPROXIMATION

2001 ◽  
Vol 15 (2) ◽  
pp. 257-263 ◽  
Author(s):  
XIAOWEI YANG ◽  
SUHUAN CHEN ◽  
BAISHENG WU
Keyword(s):  
Padé Approximation ◽  
Pade Approximation ◽  
Reanalysis Of Structures

Computing the determinants of matrix Padé approximation

2009 ◽  
Vol 214 (2) ◽  
pp. 433-441 ◽  
Author(s):  
Jindong Shen ◽  
Chuanqing Gu
Keyword(s):  
Padé Approximation ◽  
Pade Approximation ◽  
Matrix Padé Approximation
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