Overview of the MatrixPolynomialAlgebra Package - Maple Programming Help

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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.

• 

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.

  

As the underlying implementation of the MatrixPolynomialAlgebra package is a module, it is also possible to use the form MatrixPolynomialAlgebra:-command to access a command from the package. For more information,  see Module Members.

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

 


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