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    罗钟铉

    • 教授     博士生导师   硕士生导师
    • 主要任职:校长助理兼软件学院院长
    • 性别:男
    • 毕业院校:大连理工大学
    • 学位:博士
    • 所在单位:软件学院、国际信息与软件学院
    • 学科:软件工程. 计算机应用技术
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    On the properties of the bivariate orthogonal polynomials

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    论文类型:期刊论文

    发表时间:2004-09-01

    发表刊物:Journal of Information and Computational Science

    收录刊物:Scopus、EI

    卷号:1

    期号:1

    页面范围:103-106

    ISSN号:15487741

    关键字:Integration; Invariance; Matrix algebra; Numerical methods, Bivariate orthogonal polynomials; Common zeros; Eigenfunction; Invariant factor; Jacobi matrix; Orthogonal polynomials of two variables; Stieltjes type theorems, Polynomials

    摘要:Some new properties with respect to bivariate orthogonal polynomials are studied from an invariant factor point of view. The main result states if the zeros of the invariant factor   ky(x) are distinct, then   ky(x) is the eigenfunction of the corresponding truncated Jacobi matrix. We shall also present a detailed investigation of the location of the common zeros of bivariate orthogonal polynomials. A simple application to cubature formulae is given in the end. Most of them can be regarded as the extension of the univariate cases. The results also offer a new method for studying bivariate orthogonal polynomials.