Title
The J-matrix method
Abstract
Given an operator L acting on a function space, the J-matrix method consists of finding a sequence yn of functions such that the operator L acts tridiagonally on yn. Once such a tridiagonalization is obtained, a number of characteristics of the operator L can be obtained. In particular, information on eigenvalues and eigenfunctions, bound states, spectral decompositions, etc. can be obtained in this way. We discuss the general set-up and next two examples in detail; the Schrödinger operator with Morse potential and the Lamé equation.
Year
DOI
Venue
2011
10.1016/j.aam.2010.10.005
Advances in Applied Mathematics
Keywords
DocType
Volume
33C45,42C05,34L40
Journal
46
Issue
ISSN
Citations 
1
0196-8858
1
PageRank 
References 
Authors
0.41
0
2
Name
Order
Citations
PageRank
Mourad E. H. Ismail17525.95
Erik Koelink253.08