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二元直交多项式的不变因子与数值积分公式

Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2005-05-14

Journal: 计算数学

Included Journals: CSCD、ISTIC、PKU

Volume: 27

Issue: 2

Page Number: 199-208

ISSN: 0254-7791

Key Words: 二元直交多项式;不变因子;数值积分

Abstract: A.H.Stroud给出了关于二元m2点2m-1次求积公式存在性的充分条件,即两个m次直交多项式P1(x,y)和P2(x,y)存在m2个不同的公共零点,并且都不是无穷远点.本文用不变因子的方法给出了当m=2时这种直交多项式对的一种选取方法.另外,本文最后给出了一些2m-1次积分公式.

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