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polylib::decompose -- functional decomposition of a polynomial

Introduction

polylib::decompose(p,x) returns a sequence of polynomials q1, ..., qn such that p(x) = q1(...qn(x) ...).

Call(s)

polylib::decompose(p)
polylib::decompose(p, x)

Parameters

p - polynomial or polynomial expression
x - one of the indeterminates of the polynomial p

Returns

If a decomposition is possible, polylib::decompose returns it as an expression sequence, each element being of the same type as the input. If no decomposition is possible, the input is returned.

Overloadable:

p

Related Functions

factor

Details

Example 1

In the simplest case, an univariate polynomial is decomposed with respect to its only variable:

>> polylib::decompose(x^4+x^2+1)
   
                                   2       2
                              x + x  + 1, x

Example 2

If there are several variables, a main variable must be specified:

>> polylib::decompose(y*x^4+y,y);
   
                                      4
                                 y + x  y

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