TAU METHOD

被引：157

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.

引用

页码：480 / &

共 12 条

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CHAVES, T
ORTIZ, EL
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1968, 48 (06): : 415 - &
[3] GOURSAT E, 1949, COURS ANALYSE MATHEM, V2
[4] LANCZOS C, 1952, NAT BUR STANDARDS AP, V9, pR5
[5] Lanczos C., 1956, APPLIED ANALYSIS
[6] Lanczos C., 1938, J MATH PHYS, V17, P123, DOI DOI 10.1002/SAPM1938171123
[7] LLORENTE P, 1968, MATH NOTAE, V21, P17
[8] LLORENTE P, IN PRESS
[9] LYUSTERNIK LA, 1965, HANDBOOK COMPUTING E
[10] ORTIZ EL, 1964, GENERATION CANONICAL

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