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初等对称多项式的多项式表出的三类对称多项式
Three Kinds of Symmetric Polynomial Expressed by the Elementary Symmetric Polynomial
【摘要】 对称多项式基本定理在理论上已经解决了对称多项式用初等对称多项式的多项式表出的问题 ,但具体实施这一表出并非易事 .本文给出三类对称多项式的初等对称多项式表达式 ,并给出了相应范数的计算
【Abstract】 It has been proved theoretically by the basic theorem of symmetric polynomial that any symmetric polynomial can be expressed by elementary symmetric polynomial. But this expression is not easy to write out. In this paper, the elementary symmetric polynomial expressions of three kinds of symmetric polynomial and their corresponding norm calculation is given out.
【关键词】 对称多项式;
广义牛顿公式;
σ-多项式;
【Key words】 Symmetric Polynomial; Generalized Newton Formula; σ Polynomial;
【Key words】 Symmetric Polynomial; Generalized Newton Formula; σ Polynomial;
- 【文献出处】 西安联合大学学报 ,JOURNAL OF XI’AN UNITED UNIVERSITY , 编辑部邮箱 ,2000年02期
- 【分类号】O174
- 【被引频次】1
- 【下载频次】254