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AFactors

inert absolute factorization

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

AFactors(p)

Parameters

p

-

multivariate polynomial

Description

• 

The AFactors function is a placeholder for representing an absolute factorization of the polynomial p, that is a factorization over an algebraic closure of its coefficient field. It is used in conjunction with evala.

• 

The construct AFactors(p) produces a data structure of the form [u,[[f1,ⅇ1],...,[fn,ⅇn]]] such that p=uf1ⅇ1...fnⅇn, where each fi is a monic (for the ordering chosen by Maple) irreducible polynomial.

• 

The call evala(AFactors(p)) computes the factorization of the polynomial p over the field of complex numbers. The polynomial p must have algebraic number coefficients.

• 

In the case of a univariate polynomial, the absolute factorization is just the decomposition into linear factors.

Examples

evalaAFactorsx22y2

1,xRootOf_Z22y,1,x+RootOf_Z22y,1

(1)

See Also

AFactor

alias

evala

Expand

factor

Factor

Factors

ifactor

mod

PolynomialTools[Splits]

RootOf

 


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