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Overview of the MatrixPolynomialAlgebra Package

 

Calling Sequence

Description

List of MatrixPolynomialAlgebra Package Commands

Calling Sequence

MatrixPolynomialAlgebra:-command(arguments)

command(arguments)

Description

• 

The MatrixPolynomialAlgebra package provides a set of tools for the algebraic manipulation of matrices of polynomials.

• 

The tools in the package include support for four basic types of manipulations of matrices of polynomials:

  

- Polynomial operations, such as degrees and coefficients.

  

- Algebraic operations, such as left and right division, greatest common divisors, and least common multiple.

  

- Special forms of matrices of polynomials, such as normal forms and reduced forms.

  

- Finding bases (as mathematical modules) for the kernel of a matrix of polynomials and for an order basis of a matrix of polynomials.

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Each command in the MatrixPolynomialAlgebra package can be accessed by using either the long form or the short form of the command name in the command calling sequence.

• 

The long form, MatrixPolynomialAlgebra:-command, is always available. The short form can be used after loading the package.

List of MatrixPolynomialAlgebra Package Commands

  

The following is a list of available commands.

Coeff

ColumnReducedForm

Degree

HermiteForm

Lcoeff

Ldegree

LeftDivision

MahlerSystem

MatrixGCLD

MatrixGCRD

MatrixLCLM

MatrixLCRM

MinimalBasis

PopovForm

RightDivision

RowReducedForm

SmithForm

Tcoeff

 

 

  

To display the help page for a particular MatrixPolynomialAlgebra command, see Getting Help with a Command in a Package.

See Also

help

UsingPackages

with