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Subresultants

Usage

Subresultants[ ,  , var] 生成变量var的多项式   的主要子结式系数构成的列表.


Notes

• 当两个首项系数都为1的多项式   具有  个公共根时,这两个多项式的前  个子结式为0.
Subresultants 返回一个长度为Min[Exponent[ , var], Exponent[ , var]] + 1 的列表.
• 参见Mathematica 全书: 3.3.4节.
• 同时参见: Resultant, PolynomialGCD, Eliminate, Minors.
Further Examples

Here are two polynomials with leading coefficient one.

In[1]:=  

In[2]:=  

The polynomials have two common roots since this list starts with two zeros.

In[3]:=  

Out[3]=

This variation shows that multiplicities are counted.

In[4]:=  

In[5]:=  

In[6]:=  

Out[6]=

Here are two more polynomials and their principal subresultant coefficients.

In[7]:=  

In[8]:=  

In[9]:=  

Out[9]=

When b = e, the polynomials have a common root.

In[10]:=  

Out[10]=

In[11]:=  



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