TAU METHOD

被引：158
作者：
ORTIZ, EL
机构：
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 1969年 / 6卷 / 03期
关键词：
D O I：
10.1137/0706044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Presentation of systematic account of Lanczos' tau method. It is shown that every linear differential operator D with polynomial coefficients is uniquely associated with a sequence L of classes of equivalence of Lanczos' canonical polynomials, the polynomial soltuion of Dy(x) equals 0 being the modulo of the equivalence relation. Each class contains all multiple canonical polynomials of a given order associated with D, i. e. , multiple canonical polynomials differ by a polynomial solution of Dy(x) equals 0.
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页码：480 / &
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