Title
The Discrete Relativistic Toda Molecule Equation and a Padé Approximation Algorithm
Abstract
The relativistic Toda molecule equation (RTM) describes a one-parameter deformation of coefficients of the recurrence relation of a class of biorthogonal polynomials including the Szegö polynomials. In this paper, we present (i) explicit solutions of the discrete relativistic Toda molecule equation (d-RTM), (ii) a new Padé approximation algorithm for a given power series.
Year
DOI
Venue
2001
10.1023/A:1011897724524
Numerical Algorithms
Keywords
Field
DocType
biorthogonal polynomials,integrable discretization,Padé approximation,continued fraction
Mathematical optimization,Padé approximant,Polynomial,Recurrence relation,Mathematical analysis,Biorthogonal polynomial,Molecule,Algorithm,Biorthogonal system,Power series,Mathematics
Journal
Volume
Issue
ISSN
27
3
1572-9265
Citations 
PageRank 
References 
6
0.95
1
Authors
2
Name
Order
Citations
PageRank
Yukitaka Minesaki160.95
Yoshimasa Nakamura24817.38