The J-matrix method

被引：25
|
作者：
Ismail, Mourad E. H. [2 ,3 ]
Koelink, Erik [1 ]
机构：
[1] Radboud Univ Nijmegen, IMAPP, FNWI, NL-6525 AJ Nijmegen, Netherlands
[2] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
[3] King Saud Univ, Riyadh, Saudi Arabia
来源：
ADVANCES IN APPLIED MATHEMATICS | 2011年 / 46卷 / 1-4期
关键词：
Tridiagonal operator; Orthogonal polynomials; Schrodinger operator with Morse potential; Lame equation; GAUSS QUADRATURE; POLYNOMIALS; CONTINUUM; SYSTEMS;
D O I：
10.1016/j.aam.2010.10.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given an operator L acting on a function space, the J-matrix method consists of finding a sequence y(n) of functions such that the operator L acts tridiagonally on y(n). 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 Schrodinger operator with Morse potential and the Lame equation. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：379 / 395
页数：17
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