GENERALIZED CHARACTERISTIC POLYNOMIALS AND GAUSSIAN CUBATURE RULES

被引：4

作者：

Xu, Yuan ^{[1
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2015年 / 36卷 / 03期

关键词：

generalized characteristic polynomials; orthogonal polynomials; Toeplitz matrix; Gaussian cubature rule; VARIABLES; MATRICES;

D O I：

10.1137/140972810

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a family of near banded Toeplitz matrices, generalized characteristic polynomials are shown to be orthogonal polynomials of two variables, which include the Chebyshev polynomials of the second kind on the deltoid as a special case. These orthogonal polynomials possess a maximal number of real common zeros, which generate a family of Gaussian cubature rules in two variables.

引用

页码：1129 / 1142

页数：14

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