Gaussian quadrature formulas and Laguerre-Perron's equation

被引：0

作者：

S. El Hajji

L. Touijrat

机构：

[1] Mohammed V Agdal University,Departement of Mathematics and data processing

[2] Sciences Faculte,undefined

来源：

Journal of Applied Mathematics and Computing | 2005年 / 18卷 / 1-2期

关键词：

33A65; Semi-classical orthogonal polynomials; Jacobi matrix; Laguerre-Perron's equation; nonclassical weight function; stability of the algorithm;

D O I：

10.1007/BF02936566

中图分类号：

学科分类号：

摘要：

LetI(f) be the integral defined by:I(f) = ∫abf(x)w(x)dx withf a given function,w a nonclassical weight function and [a, b] an interval of IR (of finite or infinite length). We propose to calculate the approximate value ofI(f) by using a new scheme for deriving a non-linear system, satisfied by the three-term recurrence coefficients of semi-classical orthogonal polynomials. Finally we studies the Stability and complexity of this scheme.

引用

页码：205 / 228

页数：23