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linalg(deprecated)

  

sylvester

  

create Sylvester matrix from two polynomials

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

sylvester(p, q, x)

Parameters

p, q

-

expanded polynomials in the variable x

x

-

variable (name)

Description

• 

Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[SylvesterMatrix], instead.

  

- For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.

• 

The call sylvester(p, q, x) returns the Sylvester matrix of the polynomials p and q with respect to x.  Note that the determinant of this matrix is equal to resultantp,q,x.

• 

If p is of degree m in x and q is of degree n in x then the output is a square matrix of dimension m+n.

• 

The polynomials p and q must be expanded in x, because the coeff function is used on p and q to determine the entries of the matrix.

• 

The command with(linalg,sylvester) allows the use of the abbreviated form of this command.

Examples

Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[SylvesterMatrix], instead.  

withlinalg:

pa+bx:

qc+dx+ex2:

sylvesterp,q,x

ba00baedc

(1)

See Also

collect

linalg(deprecated)[bezout]

linalg(deprecated)[det]

LinearAlgebra

LinearAlgebra[SylvesterMatrix]

resultant