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Scientific Python
Package Scientific :: Package Functions :: Module Polynomial :: Class Polynomial
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Class Polynomial



Multivariate polynomial

Instances of this class represent polynomials of any order and in any number of variables. The coefficients and thus the values can be real or complex. Polynomials can be evaluated like functions.

Instance Methods [hide private]
  __add__(self, other)
number __call__(self, *args)
Returns the value of the polynomial at the given point
  __coerce__(self, other)
  __div__(self, other)
  __init__(self, coefficients)
  __mul__(self, other)
  __rdiv__(self, other)
  __repr__(self)
Polynomial derivative(self, variable=0)
Returns a polynomial of reduced order in one variable
Polynomial integral(self, variable=0)
Returns a polynomial of higher order in one variable
Numeric.array zeros(self)
Find the zeros (roots) of the polynomial by diagonalization of the associated Frobenius matrix.

Class Variables [hide private]
  is_polynomial = 1

Method Details [hide private]

__add__(self, other)
(Addition operator)

 

__call__(self, *args)
(Call operator)

 
Parameters:
  • args (tuple of numbers) - tuple of values, one for each variable of the polynomial
Returns: number
the value of the polynomial at the given point
Raises:
  • TypeError - if the number of arguments is not equal to the number of variable of the polynomial

__coerce__(self, other)

 

__div__(self, other)

 

__init__(self, coefficients)
(Constructor)

 
Parameters:
  • coefficients (Numeric.array or nested list of numbers) - an N-dimnesional array for a polynomial in N variables. coeffcients[i, j, ...] is the coefficient of x_1^i x_2^j ...

__mul__(self, other)

 

__rdiv__(self, other)

 

__repr__(self)
(Representation operator)

 

derivative(self, variable=0)

 
Parameters:
  • variable (int) - the index of the variable with respect to which the derivative is taken
Returns: Polynomial
a polynomial of reduced order in one variable

integral(self, variable=0)

 
Parameters:
  • variable (int) - the index of the variable with respect to which the integral is computed
Returns: Polynomial
a polynomial of higher order in one variable

zeros(self)

 

Find the zeros (roots) of the polynomial by diagonalization of the associated Frobenius matrix.
Returns: Numeric.array
an array containing the zeros
Raises:
  • ValueError - is the polynomial has more than one variable

Note: this is defined only for polynomials in one variable


Class Variable Details [hide private]

is_polynomial

Value:
1                                                                     

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