Leverrier's algorithm for orthogonal polynomial bases

被引：4
作者：
Barnett, S
机构：
[1] Dept. of Appl. Mathematical Studies, University of Leeds
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1996年 / 236卷
关键词：
D O I：
10.1016/0024-3795(94)00158-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Leverrier-Fadeev algorithm for simultaneous computation of the adjoint B(lambda) and determinant a(lambda) of the characteristic matrix lambda I - A is extended to the case when both B(lambda) and a(lambda) are expressed relative to a basis of orthogonal polynomials. Specific formulae are derived for the cases of Chebyshev, Hermite, Legendre, and Laguerre polynomials.
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页码：245 / 263
页数：19
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